Applied Algebra Group at the University of Zürich

 
 

Publications

F. Marigo, D. Schipani
Remarks on Frankl's conjecture
Journal of Combinatorics and Number Theory, to appear  PDF

A. Neri, J. Rosenthal, D. Schipani
Fuzzy Authentication using Rank Distance
In: Proceedings of the 2nd Workshop on Communication Security. WCS 2017. Lecture Notes in Electrical Engineering, Springer, pp. 97--108.  PDF https://doi.org/10.1007/978-3-319-59265-7_7 Article

M. Elia, D. Schipani
Involutions, Trace Maps, and Pseudorandom Numbers
Journal of Discrete Mathematical Sciences and Cryptography, 21(3), pp. 735-747.  PDF

J. A. Lopez Ramos, J. Rosenthal, D. Schipani, R. Schnyder
Group key management based on semigroup actions
Journal of Algebra and its applications, Vol. 16.  PDF Article

J.A. Alvarez-Bermejo, J. A. Lopez Ramos, J. Rosenthal, D. Schipani
Managing key multicasting through orthogonal systems,
Journal of Discrete Mathematical Sciences and Cryptography, 20(8), 1721-1740.   PDF

R. Schnyder, J. A. Lopez Ramos, J. Rosenthal, D. Schipani
An Active Attack on a Multiparty Key Exchange Protocol
Journal of Algebra Combinatorics Discrete Structures and Applications, 3(1), 2016, pp.31-36  PDF

J. A. Lopez Ramos, J. Rosenthal, D. Schipani, R. Schnyder
An Application of Group Theory in Confidential Network Communications
Mathematical Methods in the Applied Sciences, doi: 10.1002/mma.4244.  PDF

M. Baldi, M. Bianchi, F. Chiaraluce, J. Rosenthal, D. Schipani
Enhanced public key security for the McEliece cryptosystem,
Journal of Cryptology, 29(1), 2016, pp. 1-27.  PDF Article

K. Marshall, D. Schipani, A.-L. Horlemann, J. Rosenthal
Subspace Fuzzy Vault,
Springer Lecture Notes in Electrical Engineering, Vol. 358, pp. 163-172.  PDF

M. Elia, D. Schipani
Improvements on Cantor-Zassenhaus Factorization Algorithm,
Mathematica Bohemica, Vol. 140, No. 3, pp. 271-290.   PDF

M. Elia, M. Piva, D. Schipani
The Rabin cryptosystem revisited,
in Applicable Algebra in Engineering, Communication and Computing, Vol. 26(3), 2015, pp. 251-275.   PDF

G. Micheli, D. Schipani
On Canonical Subfield Preserving Polynomials.
Acta Arithmetica, Vol. 166, 2014, pp. 23-32.  PDF

J. Rosenthal, N. Silberstein, A.-L. Horlemann
On the Geometry of Balls in the Grassmannian and List Decoding of Lifted Gabidulin Codes
Designs, Codes and Cryptography, published electronically February 2014.   arxXv Article

J. Rosenthal, A.-L. Horlemann
Decoding Subspace Codes, a Problem of Schubert Calculus over Finite Fields

In Mathematical System Theory -- Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday, pages 353-366, Create Space.   Whole Volume

A.-L. Horlemann, N. Silberstein, J. Rosenthal
List Decoding of Lifted Gabidulin Codes via the Plücker Embedding
In Preproceedings of the International Workshop on Coding and Cryptography (WCC) 2013, pages 539–549, Bergen, Norway, April 2013.  

J. Rosenthal, A.-L. Horlemann
A Complete Characterization of Irreducible Cyclic Orbit Codes and their Plücker Embedding
Designs, Codes and Cryptography, 66(1--3):275--289, 2013.   arXiv Article

A.-L. Horlemann, F. Manganiello, M. Braun, J. Rosenthal
Cyclic Orbit Codes
IEEE Trans. on Inform. Theory, 59(11):7386--7404, November 2013.   arXiv Article

A.-L. Horlemann
Isometry and Automorphisms of Constant Dimension Codes
In Advances in Mathematics of Communications (AMC), volume 7 number 2, pages 147-160, AIMS.    journal version

N. Silberstein, A.-L. Horlemann
New Lower Bounds for Constant Dimension Codes
In Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on, Istanbul, Turkey, July 2013.  

M. Elia, D. Schipani
On the Rabin signature,
Journal of Discrete Mathematical Sciences & Cryptography, Vol. 16(6), 2013, pp. 367-378.  PDF

F. Manganiello, A.-L. Horlemann
Spread Decoding in Extension Fields
To appear in Finite Fields and Applications.   arXiv

M. Baldi, M. Bianchi, F. Chiaraluce, J. Rosenthal, D. Schipani
Using LDGM Codes and Sparse Syndromes to Achieve Digital Signatures
Lecture Notes in Computer Science Volume 7932, 2013, pp. 1-15.  PDF Article

G. Maze, U. Wagner
A Note on the Weighted Harmonic-Geometric-Arithmetic Means Inequalities
In Mathematical Inequalities and Applications, Vol. 15, 1 (2012), pp. 15--26.    [pdf arXiv]

D. Schipani, M. Elia
Additive decompositions induced by multiplicative characters over finite fields,
in Theory and Applications of Finite Fields, Contemporary Mathematics, vol. 579, Amer. Math. Soc., Providence, RI, 2012, pp. 179-186.  PDF

E. Gorla, F. Manganiello, J. Rosenthal
An Algebraic approach for Decoding Spread Codes
Adv. in Math. of Communications, 6(4):443--466, 2012.   http://arxiv.org/abs/1107.5523 Article

V. Tomás Estevan, J. Rosenthal, R. Smarandache
Decoding of Convolutional Codes Over the Erasure Channel
IEEE Trans. Inform. Theory 58(1):90 --108, 2012.   arxiv:cs/1006.3156 Article

U. Wagner, G. Maze
Improvements in Closest Point Search Based on Dual HKZ-Bases
Submitted.   [pdf arXiv]

F. Fontein, K. Marshall, J. Rosenthal, D. Schipani, A.-L. Horlemann
On Burst Error Correction and Storage Security of Noisy Data,
Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems MTNS, pp. 1-7, Melbourne, Australia, 2012.  PDF

A.-L. Horlemann
Plücker Embedding of Cyclic Orbit Codes
In Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems -MTNS, Melbourne, Australia, 2012.   Article

M. Elia, J. Rosenthal, D. Schipani
Polynomial evaluation over finite fields: new algorithms and complexity bounds,
Applicable Algebra in Engineering, Communication and Computing, 2012, Vol. 23(3), pp.129-141.   PDF Article

U. Wagner
Solving the LPN Problem in Cube-root Time
Submitted.   [pdf arXiv]

A.-L. Horlemann, J. Rosenthal
A Complete Characterization of Irreducible Cyclic Orbit Codes
In Proceedings of the Seventh International Workshop on Coding and Cryptography (WCC) 2011, pages 219-223, Paris, France, April 2011  PDF arXiv version

D. Schipani, M. Elia, J. Rosenthal
Efficient evaluations of polynomials over finite fields,
Proceedings of 2011 Australian Communications Theory Workshop, Melbourne, Australia, pp. 154-157.  PDF

D. Schipani, M. Elia
Gauss sums of cubic characters over $F_{p^r}$, $p$ odd,
Bulletin of the Polish Academy of Sciences, Ser. Mathematics, Vol. 60(1), 2012, pp.1-19.  PDF

G. Maze, J. Rosenthal, U. Wagner
Natural Density of Rectangular Unimodular Integer Matrices
Lin. Alg. and its Applications, Vol 434, no 5, 1 March 2011, Pages 1319-1324.   [pdf arXiv] Article

F. Manganiello, A.-L. Horlemann, J. Rosenthal
On conjugacy classes of subgroups of the general linear group and cyclic orbit codes
In Proceedings of IEEE International Symposium on Information Theory (ISIT) 2011.   arXiv Article

M. Baldi, M. Bianchi, F. Chiaraluce, J. Rosenthal, D. Schipani
On fuzzy syndrome hashing with LDPC coding,
Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies, ISABEL '11, pp. 24:1-24:5, New York, NY, USA, 2011. ACM.   PDF Article

D. Schipani, M. Elia, J. Rosenthal
On the Decoding Complexity of Cyclic Codes Up to the BCH Bound,
IEEE International Symposium on Information Theory 2011, Saint Petersburg, Russia, pp. 835-839.  PDF Article

F. Fontein
The infrastructure of a global field of arbitrary unit rank
Mathematics of Computation 80 (2011), no. 276, 2325–2357   preprint at arXiv. Article

D. Schipani, J. Rosenthal
Coding solutions for the secure biometric storage problem,
Proceedings of the IEEE Information Theory Workshop 2010, Dublin, Ireland, pp.1-4.  PDF Article

S. D. Cardell, G. Maze, J. Rosenthal, U. Wagner
Correlations in stream ciphers: A systems theory point of view
roceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems -- MTNS, pages 419--423, Budapest, Hungary, 2010  

D. Schipani, M. Elia
Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation,
Bulletin of the Polish Academy of Sciences, Ser. Mathematics, Vol. 59(1), 2011, pp.11-18.   PDF

D. Schipani
Generalized Riemann hypotheses: sufficient and equivalent criteria,
JP Journal of Algebra, Number Theory and Applications, 19(2), 2010, pp.203-214.  PDF

G. Maze
Natural Density Distribution of Hermite Normal Forms of Integer Matrices
Submitted  

A.-L. Horlemann, J. Rosenthal
New Improvements on the Echelon-Ferrers Construction
In Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems – MTNS, Budapest, Hungary, 2010, pp. 405–408.  PDF

A.-L. Horlemann, F. Manganiello, J. Rosenthal
Orbit Codes - A New Concept in the Area of Network Coding
In Proceedings of the IEEE Information Theory Workshop 2010, Dublin, Ireland.  PDF Article

G. Maze
Some Inequalities Related to the Seysen Measure of a Lattice
To appear in Lin. Alg. App.  PDF

D. Schipani
Sufficient and equivalent criteria for the Riemann Hypothesis,
Moscow Journal of Combinatorics and Number Theory Vol. 1(4), 2011, pp. 92-112.  PDF

D. Schipani
Zeros of the Hurwitz zeta function in the interval (0,1),
Journal of Combinatorics and Number Theory, Vol. 3(1), 2011, pp.71-74.   PDF

V. Tomás Estevan, J. Rosenthal, R. Smarandache
Decoding of MDP convolutional codes over the erasure channel.
In Proceedings of the 2009 IEEE International Symposium on Information Theory, pages 556--560, Seoul, South Korea, 2009.   PDF Article

J. Rosenthal
Der Mathematiker Emanuel Lasker
In R. Forster, S. Hansen, and M. Negele, editors, Emanuel Lasker: Denker, Weltenbuerger, Schachweltmeister, pages 213--230. Exzelsior Verlag, Berlin, 2009.  PDF Book description

A. Ostafe
Multivariate permutation polynomial systems and nonlinear pseudorandom number generators
http://arxiv.org/abs/0906.3854

A. Ostafe, I.E. Shparlinski
On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators
Math. Comp.(to appear)  PDF http://arxiv.org/abs/0902.3884

A. Ostafe, I.E. Shparlinski
On the length of critical orbits of stable quadratic polynomials
http://arxiv.org/abs/0909.3972

A. Ostafe, I.E. Shparlinski
Pseudorandom numbers and hash functions from iterations of multivariate polynomials
http://arxiv.org/abs/0908.4519

R. Ferguson, C. Hoffman, F. Luca, A. Ostafe, I.E. Shparlinski
Some additive combinatorics problems in matrix rings
http://arxiv.org/abs/0902.3482

F. Fontein
The Infrastructure of a Global Field and Baby Step-Giant Step Algorithms
Dissertation, Universität Zürich, March 2009.  PDF Zentralbibliothek Zürich.

E. Gorla
A generalized Gaeta’s Theorem
Compositio Math. 144, no. 3 (2008), 689-704   PDF Article

J. Zumbrägel
Classification of finite congruence-simple semirings with zero
J. Algebra Appl. 7 (2008), no. 3, p. 363--377    arXiv:math.RA/0702416 Article

F. Manganiello
Computation of the Weight Distribuition of CRC codes.
Applicable Algebra in Engineering, Communication and Computing (2008)   Article

J. Zumbrägel, G. Maze, J. Rosenthal
Efficient recovering of operation tables of black box groups and rings
Proceedings of the 2008 IEEE International Symposium on Information Theory (Toronto, ON, Canada), p. 639--643.   PDF arXiv:cs.IT/0805.0514 Article

F. Fontein
Groups from cyclic infrastructures and Pohlig-Hellman in certain infrastructures
Advances in Mathematics of Communications, 2 (3), p. 293--307, 2008.   preprint at arXiv. Article

F. Manganiello, E. Gorla, J. Rosenthal
Spread Codes and Spread Decoding in Network Coding
Proceedings of the 2008 IEEE International Symposium on Information Theory, pages 851--855, Toronto, Canada, 2008.   PDF Article

E. Gorla
Symmetric ladders and G-biliaison
to appear in an upcoming volume in honor of Gaeta  PDF

C. Kelley, J. Rosenthal, A. Sridharan
Systems Theoretic Questions in Coding Theory
Sixth International Congress on Industrial Applied Mathematics (ICIAM07), vol 7, 1030601--1030602, 2008.   Article

A. Amir, F. Müller, P. Fornaro, R. Gschwind, J. Rosenthal, L. Rosenthaler
Towards a Channel Model for Microfilm
In Archiving 2008, pages 207-211. Society for Imaging Science and Technology, 2008.  PDF

C. Kelley, D. Sridhara, J. Rosenthal
Zig-Zag and Replacement Product Graphs and LDPC Codes
Advances in Mathematics of Communications, vol 2, no. 4 (2008), 347--372.  PDF arXiv:cs/0611155 Article

G. Maze, L. Minder
A New Family of Almost Identities
Elemente der Mathematik, 62 (2007), pp 89-97  PDF

J. Rosenthal, P. A. Weiner
Coding Theory
In L. Hogben, editor, Handbook of Linear Algebra, Discrete Mathematics and its Applications (Boca Raton), chapter~61, pages 61.1--61.14. Chapman & Hall/CRC, Boca Raton, FL, 2007.  

J. Climent, E. Gorla, J. Rosenthal
Cryptanalysis of the CFVZ cryptosystem
Adv. in Math. of Communications 1, no. 1 (2007), 1-11   PDF Article Article

J. Shokrollahi, E. Gorla, Ch. Puttmann
Efficient FPGA-based multipliers for F_3^97 and F_3^6*97
International Conference on Field Programmable Logica and Applications - FPL 2007, IEEE Conference Proceedings, 339-344  PDF Article

G. Maze
Existence of a Limiting Distribution for the Binary GCD Algorithm
Journal of Discrete Algorithms, 5 (2007), pp 176-186  PDF

E. Gorla, Ch. Puttmann, J. Shokrollahi
Explicit formulas for efficient multiplication in F_3^6m
Selected areas in cryptography. Revised selected papers from the 14th International Workshop (SAC 2007) held at University of Ottawa, Canada, August 16-17, 2007, C. Adams, A. Miri, M. Wiener (Eds.), Lecture Notes in Computer Science, 4876 Springer-Verlag, Berlin (2007), 173-183  PDF Article

E. De Negri, E. Gorla
G-Biliaison of Ladder Pfaffian Varieties
to appear in J. Algebra  PDF Article

E. Gorla
Lifting the determinantal property
Algebra, Geometry and their Interactions, Contemporary Mathematics 448 (2007), 69-89  PDF

E. Gorla
Mixed ladder determinantal varieties from two-sided ladders
J. Pure and Appl. Algebra 211, no. 2 (2007), 433-444  PDF Article

U. Helmke, J. Rosenthal, X. Wang
Pole placement results for complex symmetric and Hamiltonian transfer functions
In Proc. of the 46th IEEE Conference on Decision and Control, pages 3450--3453, 2007.  PDF Article

G. Maze, C. Monico, J. Rosenthal
Public Key Cryptography based on Semigroup Actions.
Adv. in Math. of Communications. 1(4), 489-507, 2007.  PDF arXiv:cs/0501017 Article

C. Kelley, D. Sridhara, J. Rosenthal
Tree-Based Construction of LDPC Codes Having Good Pseudocodeword Weights
IEEE Transactions on Information Theory, 53(4): 1460-1478, 2007.  PDF Article

D. Sridhara
Efficient Coding of Information: Huffman Coding
RESONANCE, India Journal, (Invited Paper), pp. 51-73. Feb. 2006.  

C. Kelley, D. Sridhara
Eigenvalue bounds on the pseudocodeword weight of expander codes
Submitted to the journal of Advances in Mathematics of Communications. (Submitted: Sept. 2006; Revised: Jan. 2007)  PDF

G. Han, J. Rosenthal
Geometrical and numerical design of structured unitary space time constellations,
IEEE Transactions on Information Theory, 52(8): 3722-3735, 2006.  PDF E-print math.OC/0312170 Article

G. Han, J. Rosenthal
Good Packings in the Complex Stiefel Manifold using Numerical Methods
In Proceedings of the 17th International Symposium on the Mathematical Theory of Networks and Systems, pages 1710--1719, Kyoto, Japan, 2006.  PDF MTNS Proceedings

D. Sridhara, C. Kelley
LDPC Coding for the Three Terminal Erasure Relay Channel.
Proceedings of the 2006 IEEE International Symposium on Information Theory, July 9-14, 2006, Seattle, USA.  PDF

U. Helmke, J. Rosenthal,  Wang
Output feedback pole assignment for transfer functions with symmetries
SIAM J. Control Optim., 45(5): 1898-1914, 2006.  PDF E-print math.OC/0511112 Article

C. Kelley, D. Sridhara, J. Rosenthal
Pseudocodeword weights for non-binary LDPC codes.
In Proceedings of the 2006 IEEE international Symposium on Informaion Theory, pages 1379 - 1383, Seattle, USA, 2006.  PDF Article

H. Gluesing-Luerssen, J. Rosenthal, R. Smarandache
Strongly MDS-convolutional codes.
IEEE Transactions on Information Theory, 52(2):584-598, 2006.  PDF E-print math.RA/0303254 Article

E. Gorla
The G-biliaison class of symmetric determinantal schemes
J. Algebra 310, no. 2 (2007), 880-902  PDF Article

E. Gorla
The general hyperplane section of a curve
Trans. Amer. Math. Soc. 358 (2006), no. 2, 819-869  PDF Article

G. Han, J. Rosenthal
Unitary space time constellation analysis: An upper bound for the diversity,
IEEE Transactions on Information Theory, 52(10): 4713-4721, 2006.  PDF Article

R. Hutchinson, J. Rosenthal, R. Smarandache
Convolutional codes with maximum distance profile
Systems & Control Letters, 54(1):53-63, 2005.   E-print math.OC/0307196 Article

F. Fontein
Elliptic Curves over Rings with a Point of View on Cryptography and Factoring
Diplomarbeit, Carl von Ossietzky-Universität Oldenburg, June 2005.  PDF

D. Sridhara, T. E. Fuja
LDPC Codes over Rings for PSK Modulation
IEEE Transactions on Information Theory, vol. 51, no. 9, pp. 3209 -- 3200, Sept. 2005.  PDF

C. Kelley, D. Sridhara
Pseudocodewords of Tanner Graphs
Submitted to IEEE Transactions on Information Theory  PDF

J. Rosenthal
The Hermann-Martin curve
In New directions and applications in control theory, volume 321 of Lecture Notes in Control and Inform. Sci., pages 352-365. Springer, Berlin, 2005.  PDF Article

D. Sridhara, C. Kelley, J. Rosenthal
Tree-Based construction of LDPC codes.
In Proceedings of the 2005 IEEE international Symposium on Informaion Theory, pages 845-849, Adelaide, Australia, 2005.  PDF Article

G. Maze, H. Parlier
Determinants of Binary Circulant Matrices
in Procceding of the 2004 IEEE International Symposium on Information Theory, 2004  PDF

N. Budur, M. Casanellas, E. Gorla
Hilbert Functions of Irreducible Arithmetically Gorenstein Schemes
J. Algebra 272 (2004), no. 1, 292-310  PDF Article

R. M. Tanner, D. Sridhara, A. Sridharan, D. J. Costello, Jr., T. E. Fuja
LDPC Block and Convolutional Codes Based on Circulant Matrices
IEEE Transactions on Information Theory, vol. 50, no. 12, pp. 2966--2984, Dec 2004.  PDF

E. Gorla
Lifting properties from the general hyperplane section of a projective scheme
Ph.D. thesis  PDF

J. Zumbrägel
Modular-Theorie und die Konstruktion nicht-kommutativer Lp-Räume nach Haagerup
Diplomarbeit, Universität Oldenburg (Germany)  PDF

M. Kim, J. Rosenthal, X. Wang
Pole placement and matrix extension probolems: A common point of view
SIAM J. Control Optim., 42(6):2078-2093, 2004.  PDF Article

C. Kelley, D. Sridhara, J. Xu, J. Rosenthal
Pseudocodeword weights and stopping sets.
In Proceedings of the 2004 IEEE International Symposium on Information Theory, page 67, Chicago, 2004.  PDF Article

C. Kelley, D. Sridhara
Structure of Pseudocodewords in Tanner Graphs
Proceedings of the International Symposium on Information Theory and its Applications, October 2004, Parma, Italy.  

E. Byrne, C. Interlando, J. Rosenthal
The gate complexity of syndrome decoding of Hamming codes.
In Proceedings of the Tenth International Conference on Applications of Computer Algebra, pages 33-37, Beaumont, Texas, 2004  PDF

D. N. Hoover, R. Longchamp, J. Rosenthal
Two-degree-of-freedom \ell_2-optimal tracking with preview
Automatica, 40(1):155-162, 2004.   Article

G. Han, J. Rosenthal
Upper bound analysis of diversity for unitary space time constellations
In Proceedings of the 2004 IEEE International Symposium on Information Theory, page 157, Chicago, 2004.   Article

D. Giliam, J. Rosenthal
Mathematical Systems Theory in Biology, Communication, Computation and Finance
IMA Vol. 134, series published by Springer Verlag, 2003   Springer Verlag site of book

G. Han, J. Rosenthal
A numerical approach for designing unitary space time codes with large diversity product and diversity sum.
In Proceedings of the 2003 IEEE International Symposium on Information Theory, page 178, Yokohama, JAPAN, 2003.   Article

J. Rosenthal
A polynomial description of the Rijndael advanced encryption standard
J. Algebra Appl., 2(2):223-236, 2003.  PDF Article

G. Maze
Algebraic Methods for Constructing One-Way Trapdoor Functions
PhD Thesis, University of Notre Dame, 2003  PDF

H. Gluesing-Luerssen, R. Hutchinson, J. Rosenthal, R. Smarandache
Convolutional codes which are maximum distance separable and which have a maximum distance profile.
In Proc. of the 41st Allerton Conference on Communication, Control, and Computing, pages 844-852, 2003.  

E. Byrne, C. Kelley, C. Monico, J. Rosenthal
Non-linear codes for belief propagation.
In Proceedings of the 2003 IEEE International Symposium on Information Theory, page 43, Yokohama, JAPAN, 2003.   Article

G. Maze
Partitions Modulo n and Circulant Matrices
Discrete Mathematics, Vol 287/1-3 pp 77-84  PDF

C. Kelley, J. Rosenthal, D. Sridhara
Some new algebraic constructions of codes from graphs which are good expanders.
In Proc. of the 41st Allerton Conference on Communication, Control, and Computing, pages 1280-1289, 2003.  PDF

R. M. Tanner, A. Sridharan, D. Sridhara, D. J. Costello, Jr., T. E. Fuja
A construction of low density parity check convolutional codes based on quasi-cyclic block codes
IEEE International Symposium on Information Theory, June 29--July 3, 2002, Laussane, Switzerland.  PDF

G. Maze, C. Monico, J. Rosenthal
A public key cryptosystem based on actions by semigroups.
In Proceedings of the 2002 IEEE International Symposium on Information Theory, page 266, Lausanne, Switzerland, 2002.  PDF Article

J. Rosenthal
Book Review: Introduction to mathematical systems theory. A behavioral approach,
IEEE Transactions on Automatic Control, 47(4), 706-708, 2002.   Article

H. Gluesing-Luerssen, J. Rosenthal, R. Smarandache
Construction and decoding of strongly MDS convolutional codes.
In D. Gilliam and J. Rosenthal editors, Mathematical Theory of Networks and Systems, (6 pages), August 2002, Electronic Proceedings MTNS-2002 Symposium held in at the University of Notre Dame.  

Blondel,  Hinrichsen, J. Rosenthal
Fourth special issue on linear systems and control, preface
Linear Algebra Appl., 351-352:1-9, 2002.   Article Article

D. Sridhara, T. E. Fuja
Low density parity check codes over groups and rings
Proceedings of 2002 IEEE Information Theory Workshop, Bangalore, India.  PDF

J. Rosenthal
Minimal bases of rational vecotr spaces and their importance in algebraic system theory
In R. E. Blahut and R. Koetter, editors, Codes, Graphs, and Systems, pages 345-357. Kluwer Academic Publishers, 2002.  PDF Springer site of volume

U. Helmke, M. S. Ravi, J. Rosenthal
Output feedback invariants
Linear Algbra Appl., 351-352:623-637, 2002.  PDF Article

J. Climent, G. Maze, C. Monico, J. Rosenthal
Public key cryptography based on simple modules over simple rings.
In D. Gilliam and J. Rosenthal editors, Mathematical Theory of Networks and Systems, (8 pages), August 2002, Electronic Proceedings MTNS-2002 Symposium held in at the University of Notre Dame.   PDF

H. Gluesing-Luerssen, J. Rosenthal, R. Smarandache
Strongly MDS convolutional codes, a new class of codes with maximal decoding capability.
In Proceedings of the 2002 IEEE International Symposium on Information Theory, page 426, Lausanne, Switzerland, 2002.   Article

G. Han, J. Rosenthal
Unitary constellation design with application to space-time coding.
In D. Gilliam and J. Rosenthal editors, Mathematical Theory of Networks and Systems, (12 pages), August 2002. Electronic Proceedings MTNS-2002 Symposium held in at the University of Notre Dame   PDF

G. Han, J. Rosenthal
Unitary Constellations with Large Diversity Sum and Good Diversity Product.
In Proc. of the 40-th Allerton Conference on Communication, Control, and Computing, pages 48-57, 2002.   PS

B. Marcus, J. Rosenthal
Codes Systems and Graphical Models
IMA Vol. 123 in Math. and its Appl., series published by Springer Verlag, 2001   Springer Verlag site of book

R. M. Tanner, D. Sridhara, T. E. Fuja
A class of group-structured LDPC codes
International Symposium on Communication Theory and Applications, Ambleside, U.K.  

D. Sridhara, T. E. Fuja
Bandwidth efficient modulation based on algebraic low density parity check codes.
Proceedings of the IEEE International Symposium on Information Theory, Washington D.C., June 2001.  PDF

J. Rosenthal
Connections between linear systems and convolutional codes
in B. Marcus and J. Rosenthal, editors, Codes, Systems and Graphical Models, IMA Vol. 123, pages 39-66. Springer-Verlag, 2001  PDF PS

R. Smarandache, H. Gluesing-Luerssen, J. Rosenthal
Constructions of MDS-convolutional codes
IEEE Trans. Inform. Theory, 47(5):2045-2049, 2001  PDF Article

J. Rosenthal,  Vontobel
Constructions of Regular and Irregular LDPC Codes using Ramanujan Graphs and Ideas from Margulis.
In Proceedings of the 2001 IEEE International Symposium on Information Theory, page 4, Washington DC, 2001.   Article

D. Sridhara, T. E. Fuja, R. M. Tanner
Low density parity check codes from permutation matrices
Proceedings of Confernce on Information Sciences and Systems, (Johns Hopkins University, Baltimore, MD), March 2001.  

D. J. Costello, Jr., D. Sridhara, A. Sridharan, R. M. Tanner
Low density parity check convolutional codes derived from quasi-cyclic codes
Blake Festschrift, June 7--8, 2001.  

J. Rosenthal, A. Zelevinsky
Multiplicities of points on Schubert varieties in Grassmannians
Journal of Algebraic Combinatorics, 13:213-218, 2001   E-print math.AG/9901057 Article

J. Rosenthal, X. Wang
The multiplicative inverse eigenvalue problem over an algebraically closed field
SIAM J. Matrix Anal. Appl., 23(2)517-523, 2001  PDF Article

G. Han, K. Portman, J. Rosenthal
Unitary matrices with maximal or near maximal diversity product.
In Proc. of the 39-th Allerton Conference on Communication, Control, and Computing, pages 82-91, 2001.   PDF

H. Gluesing-Luerssen, J. Rosenthal, R. Smarandache
Construction results for MDS-convolutional codes.
In Proceedings of the 2000 IEEE International Symposium on Information Theory, page 294, Sorrento, Italy, 2000.   Article

J. Rosenthal,  Vontobel
Constructions of LDPC Codes Using Ramanujan Graphs and Ideas from Margulis.
In Proc. of the 38-th Annual Allerton Conference on Communication, Control, and Computing, pages 248-257, 2000.  PDF

T. E. Fuja, D. Sridhara
D. Rahikka, J. Colluru, T. Fazel
Robust transmission of MELP-compressed speech: A tale of two channels.
2000 Midwest Symposium on Circuits and Sytems, (Lansing, MI), August 2000.  

H. Gluesing-Luerssen, J. Rosenthal, P. A. Weiner
Duality between mutidimensinal convolutional codes and systems
In F. Colonius, U. Helmke, F. Wirth, and D. Prätzel-Wolters, editors, Advances in Mathematical Systems Theory, A Volume in Honor of Diedrich Hinrichsen, pages 135-150. Birkhäuser, Boston, 2000   PS

J. Rosenthal, X. Wang
Eigenvalue completions by affine varities
Proc. of Amer. math. Soc., 128(3):643-646, 2000  PDF Article

D. Sridhara, T. E. Fuja
Performance of the U.S. Federal Standard 2.4 kbps MELP vocoder over ATM networks.
Conference on Information Sciences and Systems, March 15-17, 2000, (Princeton, NJ).  

C. Monico, J. Rosenthal, A. Shokrollahi
Using low density parity check codes in the McEliece cryptosystem.
In Proceedings of the 2000 IEEE International Symposium on Information Theory, page 214, Sorrento, Italy, 2000.  PDF Article

B. Allen, J. Rosenthal
A matrix Euclidean algorithm induced by state space realization
Linear Algebra Appl., 288:105-121, 1999  PDF Article

J. Rosenthal
An algebraic decoding algorithm for convolutionasl codes
In G. Picii and D.S. Gilliam, editors, Dynamical Systems, Control, Coding, Computer Vision: New Trends, Interfaces, and Interplay, pages 343-360. Birkhäuser, Boston-Basel-Berlin, 1999  PDF Birkhauser site for book

J. Rosenthal, E. V. York
BCH convolutional codes
IEEE Trans. Inform. Theory, 45(6):1833-1844, 1999  PDF Article

J. Rosenthal, R. Smarandache
Maximum distance separable convolutional codes
Appl. Algebra Engrg. Comm. Comput., 10(1):15-32, 1999  PDF Article

J. Leventides, J. Rosenthal, X. Wang
The pole placement problem via PI feedback controllers
Internat. J. Control, 72(12):1065-1077, 1999   PS Article

V. Lomadze, M. S. Ravi, J. Rosenthal
A behavioral approach to singular systems
Acta Appl. Math., 54(3):331-344, 1998    Article

J. Rosenthal, R. Smarandache
A state space approach for constructing MDS rate 1/n convolutional codes.
In Proceedings of the 1998 IEEE Information Theory Workshop on Information Theory, pages 116-117, Killarney, Kerry, Ireland, June 1998.  PDF Article

J. Rosenthal
An optimal control theory for systems defined over finite rings
In V.D. Blondel, E.D. Sontag, M. Vidyasagar, and J.C. Willems, editors, Open Problems in Mathematical Systems and Control Theory, chapter 38, pages 193-201. Springer-Verlag, London, Berlin, New York, 1998  PDF PS

J. Rosenthal, R. Smarandache
Convolutional code constructions resulting in maximal or near maximal free distance.
In Proceedings of the 1998 IEEE International Symposium on Information Theory, page 308, Boston, MA, 1998.   Article

M. S. Ravi, J. Rosenthal, X. Wang
Degree of the generalized Plucker embedding of a quot scheme and quantum cohomology
Math. Ann., 311(1):11-26, 1998   E-print alg-geom/9402011 Article

H. Gluesing-Luerssen, J. Rosenthal, R. Smarandache
Generalized first order descriptions and canonical forms for convolutional codes.
In A. Beghi, L. Finesso, and G. Picci, editors, Mathematical Theory of Networks and Systems, pages 1091-1094, July 1998. Proceedings of the MTNS-98 Symposium held in Padova, Italy.   PDF

J. Rosenthal, R. Smarandache
On the dual of MDS convolutional codes.
In Proc. of the 36-th Annual Allerton Conference on Communication, Control, and Computing, pages 576-583, 1998.  

J. Rosenthal, J. C. Willems
Open problems in the area of pole placement
In V.D. Blondel, E.D. Sontag, M. Vidyasagar, and J.C. Willems, editors, Open Problems in Mathematical Systems and Control Theory, chapter 37, pages 181-191. Springer-Verlag, London, Berlin, New York, 1998   PS

B. Allen, J. Rosenthal
Parity-check decoding of convolutional codes whose systems parameters have desirable algebraic properties.
In Proceedings of the 1998 IEEE International Symposium on Information Theory, page 307, Boston, MA, 1998.   Article

J. Rosenthal, F. Sottile
Some remarks on real and complex output feedback
Systems & Control Letters, 33(2):73-80, 1998   Further details on this paper Article

M. Alber, B. Hu, J. Rosenthal
Current and Future Directions in Applied Mathematics
Papers from the symposium held at the University of Notre Dame, Notre Dame, IN, April 1996, Birkhäuser Boston Inc., Boston, MA, 1997, x+261, ISBN 0-8176-3956-X   Birkhauser Verlag site of book

J. Rosenthal, E. V. York
A construction of binary BCH convolutional codes.
In Proceedings of the 1997 IEEE International Symposium on Information Theory, page 291, Ulm, Germany, 1997.   Article

U. Helmke, J. Rosenthal, J. M. Schumacher
A controllability test for general first-order representations
Automatica, 33(2):193-201, 1997   Article

B. Allen, J. Rosenthal
Analyzing convolutional encoders using realization theory.
In Proceedings of the 1997 IEEE International Symposium on Information Theory, page 287, Ulm, Germany, 1997.   Article

J. Rosenthal, R. Smarandache
Construction of convolutional codes using methods from linear systems theory.
In Proc. of the 35-th Annual Allerton Conference on Communication, Control, and Computing, pages 953-960, 1997.   PS

M. S. Ravi, J. Rosenthal, J. M. Schumacher
Homogeneous behaviors
Math. Contr., Sign., and Syst., 10:61-75, 1997   PS Article

J. Rosenthal, X. Wang
Inverse eigenvalue problems for multivariable linear systems
In C. I. Byrnes, B. N. Datta, D. Gilliam, and C. F. Martin, editors, Systems and Control in the Twenty-First Century, pages 289-311. Birkhäuser, Boston-Basel-Berlin, 1997   http://www.birkhauser.ch

W. Helton, J. Rosenthal, X. Wang
Matrix extensions and eigenvalue completions, the generic case
Trans. Amer. Math. Soc., 349(8):3401-3408, 1997  PDF Article

U. Helmke, J. Rosenthal
On output feedback invariants and cascade equivalence of systems.
In Proc. of the 36th IEEE Conference on Decision and Control, pages 4243-4248, San Diego, California, 1997.   PS Article

J. Rosenthal, E. V. York
On the generalized Hamming weights of convolutional codes
IEEE Trans. Inform. Theory , 43(1):330-335, 1997  PDF Article

J. Rosenthal, J. M. Schumacher
Realization by inspection
IEEE Trans. Automat. Contr., AC-42(9):1257-1263, 1997  PDF Article

J. Rosenthal
Some interesting problems in systems theory which are of fundamental importance in coding theory.
In Proc. of the 36th IEEE Conference on Decision and Control, pages 4574-4579, San Diego, California, 1997.  PDF PS Article

J. Rosenthal
An observability criterion for dynamical systems governed by Riccati differential equations
IEEE Trans. Automat. Contr., AC-41(3):434-436, 1996  PDF Article

B. Allen, J. Rosenthal
Analysis of Convolutional Encoders via Generalized Sylvester Matrices and State Space Realization.
In Proc. of the 34-th Allerton Conference on Communication, Control, and Computing, pages 893-902, 1996  

C. Peterson, J. Rosenthal
Connections between multidimensional systems theory and algebraic geometry.
In Proc. of the 34-th Allerton Conference on Communication, Control, and Computing, pages 583-592, 1996.  

M. S. Ravi, J. Rosenthal, X. Wang
Dynamic pole assignment and Schubert calculus
SIAM J. Control Optim., 34(3):813-832, 1996   PDF Article

J. Rosenthal, J. M. Schumacher
On behaviors and convolutional codes
IEEE Trans. Inform. Theory, 42(6):1881-1891, 1996  PDF Article

J. Rosenthal, X. Wang
Output feedback pole placement with dynamic compensators
IEEE Trans. Automat. Contr., AC-41(6):830-843, 1996  PDF Article

U. Helmke, J. Rosenthal, J. M. Schumacher
A controllability test for behavior systems.
In Proc. of the IFAC Conference on System Structure and Control, pages 318-323, Nantes, France, 1995.  

M. S. Ravi, J. Rosenthal
A general realization theory for higher order linear differential equations
Systems & Control Letters, 25(5):351-360, 1995   Article

B. K. Ghosh, J. Rosenthal
A generalized Popov-Belevitch-Hautus test of observability
IEEE Trans. Automat. Control, AC-40(1):176-180, 1995  PDF Article

M. S. Ravi, J. Rosenthal, J. M. Schumacher
A realization theory for homogeneous AR-systems, an algorithmic approach.
In Proc. of the IFAC Conference on System Structure and Control, pages 183-188, Nantes, France, 1995.  

M. S. Ravi, J. Rosenthal, X. Wang
Dynamic pole assignment for systems in generalized first order form: A report on results derived by algebro-geometric techniques.
In Proc. of the 34th IEEE Conference on Decision and Control, pages 1900-1904, New Orleans, Louisiana, 1995.   Article

J. Rosenthal, X. Wang
Eigenvalue assignment by dynamic output feedback: A new sufficiency criterion in the real case.
In Proc. of the 34th IEEE Conference on Decision and Control, pages 2710-2715, New Orleans, Louisiana, 1995.   Article

U. Helmke, J. Rosenthal
Eigenvalue inequalities and Schubert calculus
Mathematische Nachrichten, 171:207-225, 1995  PDF Journal site Article

J. Rosenthal, E. V. York
First order representations for convolutional encoders.
In Proceedings of the 1995 IEEE International Symposium on Information Theory, page 165, Whistler, British Columbia, 1995.   Article

J. Rosenthal, E. V. York
Generalized Hamming weights for convolutional codes.
In Proceedings of the 1995 IEEE International Symposium on Information Theory, page 162, Whistler, British Columbia, 1995.   Article

J. Rosenthal, J. M. Schumacher, J. C. Willems
Generic eigenvalue assignment by memoryless real output feedback
Systems & Control Letters, 26:253-260, 1995   Further details on this paper Article

J. Rosenthal, J. M. Schumacher, X. Wang, J. C. Willems
Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback.
In Proc. of the 34th IEEE Conference on Decision and Control, pages 492-497, New Orleans, Louisiana, 1995.  PDF

J. Rosenthal, E. V. York
Linear systems defined over a finite field, dynamic programming and convolutional codes.
In Proc. of the IFAC Conference on System Structure and Control, pages 466-471, Nantes, France, 1995.  

M. S. Ravi, J. Rosenthal, X. Wang
On decentralized dynamic pole placement and feedback stabilization
IEEE Trans. Automat. Contr., AC-40(9):1603-1614, 1995  PDF Article

J. Rosenthal, E. V. York
On the relationship between algebraic systems theory and coding theory: Representations of codes.
In Proc. of the 34th IEEE Conference on Decision and Control, pages 3271-3276, New Orleans, Louisiana, 1995.   Article

M. S. Ravi, J. Rosenthal, J. M. Schumacher
System equivalences and canonical forms from a behavioral point of view.
In Proc. of the 34th IEEE Conference on Decision and Control, pages 484-489, New Orleans, Louisiana, 1995.   Article

X. Wang, J. Rosenthal
A cell structure for the set of autoregressive systems
Linear Algebra Appl., 205/206:1203-1226, 1994  PDF Article

M. S. Ravi, J. Rosenthal
A smooth compactification of the space of transfer functions with fixed McMillan degree
Acta Appl. Math, 34:329-352, 1994  PDF Article

M. S. Ravi, J. Rosenthal, X. Wang
Algebraic and combinatorial aspects of the dynamic pole assignment problem.
In U. Helmke, R. Mennicken, and J. Saurer, editors, Systems and Networks: Mathematical Theory and Applications, volume 79 of Mathematical Research, pages 547-550. Akademie Verlag, Berlin, Germany, 1994. Proc. of the International Symposium MTNS 93 held in Regensburg Germany. Vol II: Invited and contributed papers.  

J. Rosenthal, E. V. York
An ideal theoretic approach for classifying high rate convolutional codes.
In Proceedings of the 1994 IEEE International Symposium on Information Theory, page 169, Trondheim, Norway, 1994.   Article

J. Rosenthal
On dynamic feedback compensation and compactification of systems
SIAM J. Control Optim., 32(1):279-296, 1994  PDF Article

M. S. Ravi, J. Rosenthal, X. Wang
On generic stabilizability and pole assignability
Systems & Control Letters, 23(2):79-84, 1994   Article

J. A. Ball, J. Rosenthal
Pole placement, internal stabilization and interpolation conditions for rational matrix functions: a Grassmannian formulation
In P. van Dooren and B. Wyman, editors, Linear Algebra for Control Theory, volume 62 of IMA Vol. in Math. and its Appl., pages 21-30. Springer Verlag, 1994   http://www.springer.com

M. S. Ravi, J. Rosenthal, X. Wang
Recent applications of algebraic geometry in linear system theory.
In J. G. Lewis, editor, Proc. of Fifth SIAM Conference on Applied Linear Algebra, held in Snowbird, Utah, pages 206-210. SIAM, 1994.  

J. Rosenthal, M. K. Sain, X. Wang
Topological considerations for autoregressive systems with fixed Kronecker indices
Circuits Systems Signal Process, 13(2-3):295-308, 1994   Article

J. Rosenthal, X. Wang
Hasse Diagram and Dynamic Feedback of Linear Systems
Computation and Control III (K. Bowers and J. Lund, eds.) Birkhäuser Verlag, Boston, 1993, pp. 391-398   PDF

J. Rosenthal
On decentralized dynamic feedback compensation.
In Proc. of the 32nd IEEE Conference on Decision and Control, pages 357-358, San Antonio, Texas, 1993.   Article

J. Rosenthal
On subsets of autoregressive systems and stabilization conditions.
In Proc. of European Control Conference, pages 1879-1882, Groningen, The Netherlands, 1993.  

M. S. Ravi, J. Rosenthal, X. Wang
Robustness of autoregressive systems.
In Proc. of the 32nd IEEE Conference on Decision and Control, pages 2878-2879, San Antonio, Texas, 1993.   Article

J. Rosenthal, X. Wang
What is the distance between two autoregressive systems
In K. Bowers and J. Lund, editors, Computation and Control III, pages 333-340. Birkhäuser Verlag, Boston, 1993   PDF

J. Rosenthal
A compactification of the space of multivariable linear systmes using geometric invariant theory
Journal of Math. Systems, Estimation & Control, 2(1):111-121, 1992  

M. S. Ravi, J. Rosenthal
Dynamic pole placement and the connection to geometry.
In Proc. of the 31st IEEE Conference on Decision and Control, pages 179-180, Tucson, Arizona, 1992.  

J. Rosenthal
New results in pole assignment by real output feedback
SIAM J. Conrol Optim., 30(1):203-211, 1992  PDF Article

M. S. Ravi, J. Rosenthal, X. Wang
On homogeneous autoregressive systems.
In Proceedings of Symposium on Implicit and Nonlinear Systems, pages 229-235. The University of Texas at Arlington, December 1992.  

J. Rosenthal, X. Wang
Pole placement with small order dynamic compensators.
In Proc. of the 31st IEEE Conference on Decision and Control, pages 3098-3099, Tucson, Arizona, 1992.  

J. Rosenthal, M. K. Sain
On Kronecker indices of transfer functions and autoregressive systems.
In Proc. of the Second Int. Symposium on Implicit Systems, pages 173-176, Warsaw University of Technology, Warsaw, Poland, July 1991.  

J. Rosenthal
On minimal order dynamical compensators of low order systems.
In Proc. of European Control Conference, pages 374-378, Grenoble, France, 1991.v  

J. Rosenthal
Geometric Methods for Feedback Stabilization of Multivariable Linear Systems
PhD thesis, Arizona State University, Arizona, 1990.  

J. Rosenthal
Tuning natural frequencies by output feedback.
In K. Bowers and J. Lund, editors, Computation and Control, pages 276-282. Birkhäuser Verlag, Boston, 1989.  

U. Wagner
Detection and Exploitation of Small Correlations in Stream Ciphers
Masterthesis.  PDF