Codes and the Steenrod algebra

Yıl 2017, Cilt: 4 Sayı: 2 (Special Issue: Noncommutative rings and their applications), 141 - 154, 10.01.2017

Steven T. Dougherty Tane Vergili

https://doi.org/10.13069/jacodesmath.284950

Cited By: 1

Öz

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.

Anahtar Kelimeler

Self-dual codes, Non-commutative rings, Steenrod algebra

Kaynakça

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