Self-dual codes with an automorphism of order 13

DOI10.3934/amc.2017047zbMath1418.94079OpenAlexW2753520862MaRDI QIDQ2408288

Yanyan Li

Publication date: 12 October 2017

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2017047

zbMATH Keywords

classificationautomorphismcodeself-dual

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Related Items (8)

A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes ⋮ The weight enumerators of singly-even self-dual \([88,44,14\) codes and new binary self-dual \([68,34,12]\) and \([88,44,14]\) codes] ⋮ Double bordered constructions of self-dual codes from group rings over Frobenius rings ⋮ New binary self-dual codes of lengths \(56, 58, 64, 80\) and \(92\) from a modification of the four circulant construction ⋮ Constructing self-dual codes from group rings and reverse circulant matrices ⋮ On the self-dual codes with an automorphism of order 5 ⋮ A modified bordered construction for self-dual codes from group rings ⋮ New binary self-dual codes of lengths 80, 84 and 96 from composite matrices

Uses Software

• GAP

Cites Work

• Unnamed Item
• Binary self-dual codes with automorphisms of odd order
• On the existence of certain optimal self-dual codes with lengths between 74 and 116
• Experimental constructions of self-dual codes
• Construction of new extremal self-dual codes
• Extremal doubly-even \([80,40,16\) codes with an automorphism of order 19]
• Generalized AG codes and generalized duality
• Classification of self-dual codes of length 50 with an automorphism of odd prime order
• On \(s\)-extremal singly even self-dual \([24k+8,12k+4,4k+2\) codes]
• Self-dual \([62, 31, 12\) and \([64, 32, 12]\) codes with an automorphism of order 7]
• Classification of extremal double circulant self-dual codes of lengths 74--88
• Some restrictions on weight enumerators of singly even self-dual codes
• Fundamentals of Error-Correcting Codes
• A method for constructing inequivalent self-dual codes with applications to length 56
• Automorphisms of codes with applications to extremal doubly even codes of length 48
• Extremal binary self-dual codes
• Shadow bounds for self-dual codes
• Some new extremal codes of lengths 76 and 78
• Binary Self-Dual Codes of Lengths 52 to 60 With an Automorphism of Order 7 or 13

This page was built for publication: Self-dual codes with an automorphism of order 13