Self-Dual Group Codes in Finite Dihedral Group Algebra
Yanyan Gao, Qin Yue, Xinmei Huang · IEEE Communications Letters · 2020
In this letter, we always assume that n is an odd integer, Fqis a finite field of characteristic 2, and D2nis a dihedral group of 2n elements, i.e., D2n= 〈x, y|xn= 1, y2= 1, yxy = x-1〉. We give self-dual group codes with parameters in the finite dihedral group algebra Fq[D2n]. Some numerical examples are also presented to illustrate our main results.