Code loops and even codes over \({\mathbb{F}}_ 4\)

DOI10.1016/0021-8693(88)90054-3zbMath0659.94014OpenAlexW1965887062MaRDI QIDQ1112788

Masaaki Kitazume

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90054-3

zbMATH Keywords

doubly even codebinary Golay codefactor setsFischer-Griess MonsterFischer groupcode loopsParker loop

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Loops, quasigroups (20N05) Cyclic codes (94B15) Arithmetic theory of polynomial rings over finite fields (11T55) Other nonassociative rings and algebras (17D99)

Related Items (2)

Local Subgroups of the Monster and Odd Code Loops ⋮ Direct construction of code loops.

Cites Work

• A simple construction for the Fischer-Griess monster group
• Code loops
• Codes over GF(4) and complex lattices
• Self-dual codes over GF(4)
• A new combinatorial approach to M₂₄
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Code loops and even codes over \({\mathbb{F}}_ 4\)