The automorphism group of an extremal [120, 60, 24] code does not contain elements of order 29

DOI10.1007/s10623-014-0025-7zbMath1333.94064OpenAlexW2083504591MaRDI QIDQ256576

Alfred Wassermann, Javier de la Cruz, Michael Kiermaier

Publication date: 9 March 2016

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-014-0025-7

zbMATH Keywords

automorphism groupself-dual codeextremal codedoubly-even code

Mathematics Subject Classification ID

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

Related Items (2)

Some new results on the self-dual \([120,60,24\) code] ⋮ Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31

Uses Software

• Magma
• Code Tables

Cites Work

• Unnamed Item
• Unnamed Item
• On the automorphism group of a binary self-dual \([120, 60, 24\) code]
• Binary self-dual codes with automorphisms of odd order
• On the nonexistence of extremal self-dual codes
• The Magma algebra system. I: The user language
• On extremal self-dual codes of length 120
• The Automorphism Group of a Self-Dual <inline-formula> <tex-math notation="TeX">$[{72,36,16}$ </tex-math></inline-formula> Code Does Not Contain <inline-formula> <tex-math notation="TeX">$Z_{4}$ </tex-math></inline-formula>]
• Searching for linear codes with large minimum distance
• 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
• On Extremal Self-Dual Codes of Length 96
• Automorphisms of Extremal Self-Dual Codes
• New 5-designs
• Is there a (72,36) d = 16 self-dual code? (Corresp.)
• An upper bound for self-dual codes

This page was built for publication: The automorphism group of an extremal [120, 60, 24] code does not contain elements of order 29