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Organized by: Prof. Dr. Elisa Gorla, Prof. Dr. Felice Manganiello, Prof. Dr. Joachim Rosenthal
MAT007Seminar in Computer AlgebraDi08.00-10.00Y27H12FS 08
Module:  MAT007  Aspects of Computer Algebra

Program

Resultant 1
Resultant 2 - Modular GCD
Schönhage and Strassen's Algorithm
Widemann's Algorithm
Factorization 1 - Berlekamp and Kaltofen-Lobos' algorithms
Factorization 2 - Niederreiter's algorithm

Introduction to Gröbner Basis over Modules
Hilbert's Nullstellensatz
Syzygies and computation of syzygies
Elementary Operations on Modules
Localization and Saturation
Systems of Polynomial Equations
Attacks against MPKC based on Groebner Bases

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