*Result*: Permutation decoding in group codes.
Title:
Permutation decoding in group codes.
Authors:
Martínez, C.1 (AUTHOR) cmartinez@uniovi.es, Molina, F.1 (AUTHOR) molinafabian@uniovi.es
Source:
Journal of Algebra & Its Applications. Jan2026, p1. 24p.
Subject Terms:
Database:
Academic Search Index
*Further Information*
*The aim of this work is to study a permutation decoding algorithm for group codes. We focus exclusively on the case where 픽G is semisimple. In this setting, 픽G decomposes as the direct sum of a two-sided ideal associated with a group code and another two-sided ideal, and both of them are generated by central idempotent elements of 픽G. Furthermore, we define the notion of a GPD-set, which is essential for the construction of a generalized permutation decoding algorithm. This algorithm can be applied in certain cases where the classical permutation decoding algorithm is not applicable. [ABSTRACT FROM AUTHOR]*