Direct construction of code loops
Combinatorics
2007-05-23 v2 Group Theory
Abstract
Code loops were introduced by R. L. Griess. R.L. Griess and T. Hsu gave methods to construct the corresponding code loop from any given doubly even binary code; both these methods used some kind of induction. In this paper, we present a global construction of the loop, where we apply the correspondance between the concepts of Moufang loops and groups with triality.
Cite
@article{arxiv.math/0411315,
title = {Direct construction of code loops},
author = {Gabor P. Nagy},
journal= {arXiv preprint arXiv:math/0411315},
year = {2007}
}
Comments
Contributed talk at Combinatorics'04 (Italy)