On the Chebotarëv theorem over finite fields

DOI10.1016/j.ffa.2018.11.004zbMath1408.15008OpenAlexW2903344389MaRDI QIDQ1734665

Guang-Hui Zhang

Publication date: 27 March 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.11.004

zbMATH Keywords

roots of unityVandermonde determinantChebotarëv theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Linear codes (general theory) (94B05)

Uses Software

• GAP

Cites Work

• Systems of MDS codes from units and idempotents
• On construction of involutory MDS matrices from Vandermonde matrices in \(\mathrm{GF}(2^q)\)
• Chebotarëv and his density theorem
• An uncertainty principle for cyclic groups of prime order
• Generalized Vandermonde Determinants and Roots of Unity of Prime Order
• Inequalities for finite group permutation modules

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