NDLI: Code loops in both parities

Content Provider	Springer Nature Link
Author	Drápal, Aleš Vojtěchovský, Petr
Copyright Year	2009
Abstract	We present equivalent definitions of code loops in any characteristic p≠0. The most natural definition is via combinatorial polarization, but we also show how to realize code loops by linear codes and as a class of symplectic conjugacy closed loops. For p odd, it is possible to define code loops via characteristic trilinear forms. Related concepts are discussed.
Starting Page	585
Ending Page	611
Page Count	27
File Format	PDF
ISSN	09259899
Journal	Journal of Algebraic Combinatorics
Volume Number	31
Issue Number	4
e-ISSN	15729192
Language	English
Publisher	Springer US
Publisher Date	2009-09-24
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Code loop Even code loop Odd code loop Symplectic loop Small Frattini loop Moufang loop Conjugacy closed loop Combinatorial polarization Symmetric associator Characteristic form Doubly even code Self-orthogonal code Kronecker product Group Theory and Generalizations Computer Science Order, Lattices, Ordered Algebraic Structures Convex and Discrete Geometry Combinatorics
Content Type	Text
Resource Type	Article
Subject	Discrete Mathematics and Combinatorics Algebra and Number Theory

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Code loops in both parities