Norm-One Torus Decompositions and Decoding of Gashkov-Sidel'nikov Codes

Minjia Shi, Shitao Li, Yuhong Xia +2

Let $q=3^m$, let $K={\mathbb{F}}_{q^2}$, and let \[\mathcal T=\{x\in K^*:\operatorname{N}_{K/\mathbb F_q}(x)=1\}.\] For both cyclic and constacyclic Gashkov-Sidel'nikov codes, we show…