Direct construction of code loops

Details Direct construction of code loops Direct construction of code loops

2004-11-14

arxiv.org/abs/math/0411315v2

Mathematics

Combinatorics

Contributed talk at Combinatorics'04 (Italy)

Scientific paper

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.

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