Examples of self-dual codes over some sub-Hopf algebras of the Steenrod algebra

Authors: TANE VERGİLİ, İSMET KARACA

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.

Keywords: Hopf algebra, Steenrod algebra, self-dual codes,

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