Universitat Autònoma de Barcelona
Altres ajuts: acords transformatius de la UAB
It is known that Zps -linear codes, which are the Gray map image of Zps -additive codes (linear codes over Zps ), are systematic and a systematic encoding has been found. This makes Zps -linear codes suitable to apply the permutation decoding method, based on the existence of r-PD-sets, which are subsets of the permutation automorphism group of the code. Some constructions of r-PD-sets of minimum size r + 1 for Zps -linear generalized Hadamard codes of type (n;t1, . . . , ts) are known. In this paper, for these codes, we present new constructions of r-PD-sets of size r + 1, which are suitable for all parameters t1, . . . , ts. These allow us to obtain new r-PD-sets for values of r closer to the theoretical upper bound, improving previous known results.
Article
English
Permutation decoding; PD-set; Generalized Hadamard code; Zₚs-linear code; Generalized Gray map
Agencia Estatal de Investigación PID2022-137924NB-I00
Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00643
IEEE transactions on information theory ; Vol. 70, Issue 12 (December 2024), p. 8675-8687
open access
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