Title of article
Codes and the Steenrod algebra
Author/Authors
dougherty, steven t. university of scranton - department of mathematics, Scranton, USA , vergili, tane ege university - department of mathematics, Izmir, Turkey
From page
141
To page
154
Abstract
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.
Keywords
Self , dual codes , Non , commutative rings , Steenrod algebra
Journal title
Journal Of Algebra Combinatorics Discrete Structures and Applications
Journal title
Journal Of Algebra Combinatorics Discrete Structures and Applications
Record number
2650169
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