Institute of Mathematics

Person

Prof. Dr. Julia Lieb

E-Mail:

Vita

CV
Fall 23 Fall 24

Publications

Journal publications

G. Alfarano, J. Lieb
On the left primeness of some polynomial matrices with applications to convolutional codes
Journal of Algebra and Its Applications, doi:10.1142/S0219498821502078 (2020)    https://www.worldscientific.com/doi/10.1142/S0219498821502078

P. Almeida, J. Lieb
Complete j-MDP convolutional codes
IEEE Transactions on Information Theory, doi: 10.1109/TIT.2020.3015698 (2020)    https://ieeexplore.ieee.org/document/9163387?denied=

J. Lieb, R. Pinto
Constructions of MDS convolutional codes using superregular matrices
J. Algebra Comb. Discrete Appl. 7:1 (2020), p. 71-82.    http://jm.jacodesmath.com/index.php/jacodesmath/article/view/292

J. Lieb
Necessary field size and probability for MDP and complete MDP convolutional codes
Des. Codes Cryptogr. 87:12 (2019), p. 3019-3043    https://doi.org/10.1007/s10623-019-00661-6

J. Lieb
Complete MDP convolutional codes
Journal of Algebra and Its Applications, 8(6) (2019) 1950105 (13 pages).    https://www.worldscientific.com/doi/abs/10.1142/S0219498819501056

J. Lieb
Uniform probability and natural density of mutually left coprime polynomial matrices over finite fields
Lin. Alg. Appl. 539 (2018), p. 134-159.    https://www.sciencedirect.com/science/article/abs/pii/S0024379517306341

J. Lieb
The probability of primeness for specially structured polynomial matrices over finite fields with applications to linear systems and convolutional codes
Math. Control Signals Syst. 29:8 (2017)    https://link.springer.com/article/10.1007/s00498-017-0191-z

U. Helmke, J Jordan, J. Lieb
Probability estimates for reachability of linear systems defined over finite fields
Advances in Mathematics of Communications 10 No. 1 (2016), p. 63-78.    https://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=12285

Chapters of books

J. Lieb, R. Pinto, J. Rosenthal
Convolutional codes
to be published in A Concise Encyclopedia of Coding Theory (eds. Huffman, C; Kim, J.; Sole, P.), CRC Press, 2020, arXiv:2001.08281.   

Conference proceedings

G. Alfarano, J. Lieb, J. Rosenthal
Construction of rate (n-1)/n non-binary LDPC convolutional codes via difference triangle sets
IEEE International Symposium on Information Theory (ISIT), 2020.   

U. Helmke, J Jordan, J. Lieb
Reachability of random linear systems over finite fields
in Coding Theory and Applications, 4th International castle Meeting, Palmela Castle, Portugal (eds. Pinto, R.; Malonek, P.R.; Vettori, P.), Springer- Verlag (2014), p. 217-225.