Abstract

Codes over the finite sub-Hopf algebras $A(n)$ of the (mod 2) Steenrod algebra $\mathcal{A}$ were studied by Dougherty and Vergili. In this paper we study some Euclidean and Hermitian self-dual codes over $A(n)$ by considering Milnor basis elements.

DOI

10.3906/mat-1606-95

Keywords

Hopf algebra, Steenrod algebra, self-dual codes

First Page

1313

Last Page

1322

Recommended Citation

VERGİLİ, T, & KARACA, İ (2017). Examples of self-dual codes over some sub-Hopf algebras of the Steenrod algebra. Turkish Journal of Mathematics 41 (5): 1313-1322. https://doi.org/10.3906/mat-1606-95

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