期刊论文详细信息
Journal of Algebra Combinatorics Discrete Structures and Applications
Codes and the Steenrod algebra
article
Steven T. Dougherty1  Tane Vergili2 
[1] Department of Mathematics, University of Scranton;Department of Mathematics, Ege University
关键词: Self-dual codes;    Non-commutative rings;    Steenrod algebra;   
DOI  :  10.13069/jacodesmath.284950
学科分类:社会科学、人文和艺术(综合)
来源: Yildiz Technical University
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【 摘 要 】

We study codes over the finite sub Hopf algebras of the Steenrod algebra. We define three dualities for codes over these rings, namely the Eulidean duality, the Hermitian duality and a duality based on the underlying additive group structure. We study self-dual codes, namely codes equal to their orthogonal, with respect to all three dualities.

【 授权许可】

CC BY   

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