Direct construction of code loops

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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.
Contributed talk at Combinatorics'04 (Italy)

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Combinatorics, Group Theory, 94B60; 20N05

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http://salesiana.dossiersoluciones.com/handle/123456789/73232

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411315
 http://arxiv.org/abs/math/0411315

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arXiv