Standard generators of finite fields and their cyclic subgroups

DOI10.1016/j.jsc.2022.11.001OpenAlexW4287086496MaRDI QIDQ2687267

Frank Lübeck

Publication date: 1 March 2023

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02257

zbMATH Keywords

finite fieldsprimitive rootsstandard generators

Mathematics Subject Classification ID

Computational number theory (11Yxx) Finite fields and commutative rings (number-theoretic aspects) (11Txx) Field theory and polynomials (12-XX)

Related Items (1)

StandardFF

Uses Software

• GAP
• Macaulay2
• Magma
• SageMath
• MeatAxe
• GAP Character Table Library
• CTblLib

Cites Work

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• Lattices of compatibly embedded finite fields
• Handbook of Finite Fields
• Fast algorithms for l -adic towers over finite fields
• New Algorithms for Finding Irreducible Polynomials Over Finite Fields
• An improved algorithm for computing logarithms over<tex>GF(p)</tex>and its cryptographic significance (Corresp.)
• Standard Lattices of Compatibly Embedded Finite Fields
• Fast construction of irreducible polynomials over finite fields

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