Codes and the Steenrod algebra

Journal of Algebra Combinatorics Discrete Structures and Applications

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

【 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