LCD Codes and Self-orthogonal Codes in Finite Dihedral Group Algebras

Let $${\mathbb{F}_q}$$ be a finite field with order q and D2n be the dihedral group with 2n elements, and gcd(q, 2n) = 1. In this article, the authors give precise descriptions and enumerations of linear complementary dual (LCD) codes and self-orthogonal codes in the finite dihedral group algebras $${\mathbb{F}_q}[{D_{2n}}]$$ . Some numerical examples are also presented to illustrate the main results.

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