Self-dual binary $[8m,4m]$-codes constructed by left ideals of the dihedral group algebra ${\mathbb{F}}_2[D_{8m}]$

Yuan Cao, Yonglin Cao, Fang-Wei Fu +1

Let $m$ be an arbitrary positive integer and $D_{8m}$ be a dihedral group of order $8m$, i.e., $D_{8m}=⟨x,y\mid x^{4m}=1,y^2=1,yxy=x^{-1}⟩$. Left ideals of the dihed…