Extremal doubly-even \([80,40,16]\) codes with an automorphism of order 19

DOI10.1016/S1071-5797(02)00018-7zbMath1021.94015MaRDI QIDQ1870026

Masaaki Harada, Radinka Dontcheva

Publication date: 4 May 2003

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

zbMATH Keywords

automorphism groupsextremal self-dual codesdoubly-even codes

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear codes (general theory) (94B05)

Related Items (8)

New extremal binary self-dual codes of lengths 64 and 66 from \(R_{2}\)-lifts ⋮ On \(s\)-extremal singly even self-dual \([24k+8,12k+4,4k+2\) codes] ⋮ Self-dual codes with an automorphism of order 13 ⋮ Various constructions for self-dual codes over rings and new binary self-dual codes ⋮ On the existence of certain optimal self-dual codes with lengths between 74 and 116 ⋮ On the classification and enumeration of self-dual codes ⋮ Extremal doubly-even self-dual codes from Hadamard matrices ⋮ On the existence of s-extremal singly even self-dual codes

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• A method for constructing inequivalent self-dual codes with applications to length 56
• 17 does not divide the order of the group of a (72,36,16) doubly even code (Corresp.)
• 23 does not divide the order of the group of a (72,36,16) doubly even code (Corresp.)
• Automorphisms of codes with applications to extremal doubly even codes of length 48
• An upper bound for self-dual codes

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