There is no \([24,12,9]\) doubly-even self-dual code over \(\mathbb F_4\)

DOI10.3934/amc.2016027zbMath1348.94080OpenAlexW2518503017MaRDI QIDQ326341

Sihuang Hu, Gabriele Nebe

Publication date: 12 October 2016

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

Full work available at URL: https://doi.org/10.3934/amc.2016027

zbMATH Keywords

doubly-even self-dual code

Mathematics Subject Classification ID

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

Uses Software

• Magma
• SageMath

Cites Work

• On even codes
• The Magma algebra system. I: The user language
• Type II codes over \(\mathbb F_4\)
• The automorphism groups of linear codes and canonical representatives of their semilinear isometry classes
• Complete weight enumerators of generalized doubly-even self-dual codes
• Fundamentals of Error-Correcting Codes
• On Type II codes over F/sub 4/
• New 5-designs