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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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Modul: MAT007 Aspects of Computer Algebra