Roger Ten-Valls

Computing the generator polynomials of $\mathbb{Z}_2\mathbb{Z}_4$-additive cyclic codes

2016 · arXiv (Cornell University)

A ${\mathbb{Z}}_2{\mathbb{Z}}_4$-additive code ${\cal C}\subseteq{\mathbb{Z}}_2^α\times{\mathbb{Z}}_4^β$ is called cyclic if the set of coordinates can be partitioned into two subsets, the set of ${\mathbb{Z}}_2$ and the set of ${\mathbb{Z}}_4$ coordinates, such that any simultaneous cyclic shift …