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Classification of Finite Fields with Applications
Journal of Automated Reasoning, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hing-Lun Chan, Michael Norrish
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Information Processing Letters, 1982
Let \(p\) be a fixed prime and \(n=m_1m_2\cdots m_l\) be a factorization of a positive integer \(n\) such that \(m_1\ge m_2\ge \ldots\ge m_l\ge 1\). The author proposes an algorithm for realizing the finite field \(\mathrm{GF}(p^n)\) with \(p^n\) elements, by the chain of field extensions \[ \mathrm{GF}(p)\subseteq \mathrm{GF}(p^{m_1})\subseteq \mathrm{
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Let \(p\) be a fixed prime and \(n=m_1m_2\cdots m_l\) be a factorization of a positive integer \(n\) such that \(m_1\ge m_2\ge \ldots\ge m_l\ge 1\). The author proposes an algorithm for realizing the finite field \(\mathrm{GF}(p^n)\) with \(p^n\) elements, by the chain of field extensions \[ \mathrm{GF}(p)\subseteq \mathrm{GF}(p^{m_1})\subseteq \mathrm{
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A Sárközy Theorem for Finite Fields
Combinatorics, Probability and Computing, 2003A classical result of Sárközy states that, for any and any positive density subset E of , there exist elements x and y of E and such that . A version of this result for finite fields is derived from a recent theorem of P. Larick, a short proof of which is also given.
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Unknown finite fields as to the boolean finite fields theory
Journal of Discrete Mathematical Sciences and Cryptography, 2014AbstractThis note presents a canonical construction of the structures of modal Θ -valent field ( mΘf) and modal Θ -valent pseudo field (mΘpf) as defined by F. Ayissi Eteme in (9). Their respective sets of the invertibles and modal Θ -invertibles are modal Θ -valent groups ( mΘg).
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Standard generators of finite fields and their cyclic subgroups
Journal of Symbolic Computation, 2023Frank Lübeck
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Synchronization of networks over finite fields
Automatica, 2020Gaoxi Xiao, Xiuxian Li, Min Meng
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Leader–Follower Consensus of Multiagent Systems With Time Delays Over Finite Fields
IEEE Transactions on Cybernetics, 2019Li Haitao, Guodong Zhao, Li Yalu
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