Please read abstract in the article.The National Research Foundation of South Africahttp://link.springer.com/journal/2002021-12-08hj2021Mathematics and Applied Mathematic

Key, J. D.

Rodrigues, B. G.

English

For m≥4m≥4 even, the duals of p-ary codes, for any prime p, from adjacency matrices for the m-ary 2-cube Qm2Q2m are shown to have subcodes with parameters [m2,2m−2,m][m2,2m−2,m] for which minimal PD-sets of size m2m2 are constructed, hence attaining the full error-correction capabilities of the code, and, as such, the most efficient sets for full permutation decoding.</p

Aberystwyth Research Portal

Minimal PD-sets for codes associated with the graphs Qm2, m even

Key, J.D.

Rodrigues, Bernardo G.

UPSpace at the University of Pretoria

Minimal PD-sets for codes associated with the graphs Qm2 , m even

https://repository.up.ac.za/bitstream/2263/79512/1/Key_Minimal_2021.pdf

Minimal PD-sets for codes associated with the graphs Qm2, m even

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UPSpace at the University of Pretoria

Aberystwyth Research Portal