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
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
