New families of flag-transitive linear spaces

DOI10.1016/j.ffa.2022.102156OpenAlexW3191032889MaRDI QIDQ2689361

Jianbing Lu, Tao Feng

Publication date: 10 March 2023

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

Full work available at URL: https://arxiv.org/abs/2108.03848

zbMATH Keywords

linear spacepermutation polynomialflag-transitivity\(t\)-spreadirreducible polynomial 2-design

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Spreads and packing problems in finite geometry (51E23) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over finite fields (11T06) General block designs in finite geometry (51E05)

Cites Work

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• Several new permutation quadrinomials over finite fields of odd characteristic
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• Permutation polynomials over finite fields -- a survey of recent advances
• The construction of translation planes from projective spaces
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• Determination of a class of permutation quadrinomials

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