The projective general linear group \(\mathrm{PGL}(2, 5^m)\) and linear codes of length \(5^m+1\)

DOI10.1007/978-3-031-22944-2_11OpenAlexW4315490025MaRDI QIDQ6169011

Yanfeng Qi, Chun-Ming Tang, Unnamed Author

Publication date: 10 August 2023

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-22944-2_11

zbMATH Keywords

automorphism grouplinear code\(t\)-designcyclic codeprojective general linear group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15) Other matrix groups over fields (20H20)

Cites Work

• Unnamed Item
• Galois invariance, trace codes and subfield subcodes
• The projective general linear group \(\mathrm{PGL}(2,2^m)\) and linear codes of length \(2^m+1\)
• An infinite family of antiprimitive cyclic codes supporting Steiner systems \(S(3,8, 7^m+1)\)
• Fundamentals of Error-Correcting Codes
• Designs from Linear Codes
• Infinite Families of Near MDS Codes Holding t-Designs
• An Infinite Family of Linear Codes Supporting 4-Designs
• Infinite families of 2‐designs from a class of cyclic codes

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