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Computing huge Groebner basis like cyclic10 over \Q with Giac

2019/03/29 by Bernard Parisse, Parisse, Bernard
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Commutative Algebra and Its Applications #Cryptography and Residue Arithmetic #FOS: Computer and information sciences #Mathematical Software (cs.MS) #Numerical Methods and Algorithms #Polynomial and algebraic computation #Symbolic Computation (cs.SC)

paper · pdf · doi:10.48550/arxiv.1903.12427

openalex publication_date 2019/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a short description on how to fine-tune the modular algorithm implemented in the Giac computer algebra system to reconstruct huge Groebner basis over \Q.The classical cyclic10 benchmark will serve as example.

Citations

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