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A Note on Linear Complementary Pairs of Group Codes by Borello, Martino; de la Cruz, Javier; Willems, Wolfgang is a scholarly article available to read on EtoBox.

What is A Note on Linear Complementary Pairs of Group Codes about?

We give a short and elementary proof of the fact that for a linear complementary pair $(C,D)$, where $C$ and $D$ are $2$-sided ideals in a group algebra, $D$ is uniquely determined by $C$ and the dual code $D^\perp$ is permutation equivalent to $C$. This includes earlier results of Carlet et al. and G\"uneri et al. on nD cyclic codes which have been proved by subtle and lengthy calculations in the space of polynomials.

Author

Borello, Martino; de la Cruz, Javier; Willems, Wolfgang

Published

2019

Language

EN