The Depth Spectra of Linear Codes over F2+uF2+u2F2

Ting Yao, Minjia Shi, Chen Ya · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2015

In this article, we investigate the depth distribution and the depth spectra of linear codes over the ring R=F2+uF2+u2F2, where u3=1. By using homomorphism of abelian groups from R to F2 and the generator matrices of linear codes over R, the depth spectra of linear codes of type 8k14k22k3 are obtained. We also give the depth distribution of a linear code C over R. Finally, some examples are presented to illustrate our obtained results.

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