Explicit constructions of quasi-uniform codes from groups

Eldho K. Thomas, Frédérique Oggier · 2013

We address the question of constructing explicitly quasi-uniform codes from groups. We determine the size of the codebook, the alphabet and the minimum distance as a function of the corresponding group, both for abelian and some nonabelian groups. Potentials applications comprise the design of almost affine codes and non-linear network codes.

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