Code loops in both parities
type: Item
instance of: scholarly article
title: Code loops in both parities
zbMATH Open document ID: 1231.05005
author: Aleš Drápal
author: Petr Vojtěchovský
published in: Journal of Algebraic Combinatorics
publication date: 2010-06-16T00:00:00Z
Mathematics Subject Classification ID: 05A10
Mathematics Subject Classification ID: 20N05
zbMATH DE Number: 5721559
zbMATH Keywords: code loop
zbMATH Keywords: even code loop
zbMATH Keywords: odd code loop
zbMATH Keywords: symplectic loop
zbMATH Keywords: small Frattini loop
zbMATH Keywords: Moufang loop
zbMATH Keywords: conjugacy closed loop
zbMATH Keywords: combinatorial polarization
zbMATH Keywords: symmetric associator
zbMATH Keywords: characteristic form
zbMATH Keywords: doubly even code
zbMATH Keywords: self-orthogonal code
zbMATH Keywords: Kronecker product
MaRDI profile type: Publication
full work available at URL: s10801-009-0203-2
OpenAlex ID: W2072877697
cites work: Q4295765
cites work: Q5606623
cites work: Moufang loops with a unique nonidentity commutator (associator, square)
cites work: An "Extra" Law for Characterizing Moufang Loops
cites work: A simple construction for the Fischer-Griess monster group
cites work: Q4219187
cites work: Left conjugacy closed loops of nilpotency class two.
cites work: On extraspecial left conjugacy closed loops.
cites work: Symmetric multilinear forms and polarization of polynomials
cites work: Algebraic cohomology groups and loops
cites work: Q4193550
cites work: On loops of odd order. II
cites work: Nilpotence of finite Moufang 2-loops
cites work: A construction of F 1 as automorphisms of a 196,883-dimensional algebra
cites work: The friendly giant
cites work: Code loops
cites work: Moufang loops of class 2 and cubic forms
cites work: Explicit constructions of code loops as centrally twisted products
cites work: Loop cohomology
cites work: Power-associative, conjugacy closed loops.
cites work: Loops and semidirect products
cites work: Q5331504
cites work: Direct construction of code loops.
cites work: The Moufang loops of order 64 and 81.
cites work: Schreier loops
cites work: Q3998783
cites work: Forms and mappings. I: Generalities
cites work: Q4014124
cites work: Local Subgroups of the Monster and Odd Code Loops
cites work: Combinatorial polarization, code loops, and codes of high level
cites work: Combinatorial polarization
DOI: 10.1007/S10801-009-0203-2
description: scientific article; zbMATH DE number 5721559