V. M. Deundyak

Relationship between Codes and Idempotents in a Dihedral Group Algebra

2020 · Mathematical Notes

Codes in the dihedral group algebra $$\mathbb{F}_q{D_{2n}}$$ , i.e., left ideals in this algebra, are studied. A generating idempotent is constructed for every code in $$\mathbb{F}_q{D_{2n}}$$ given by its image under the Wedderburn decomposition of …