Geodesic
Diagonally neighbour transitive codes and frequency permutation arrays
Journal of Algebraic Combinatorics, Tome 39 (2014) no. 3, pp. 733-747.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Constant composition codes have been proposed as suitable coding schemes to solve the narrow band and impulse noise problems associated with powerline communication, while at the same time maintaining a constant power output. In particular, a certain class of constant composition codes called frequency permutation arrays have been suggested as ideal, in some sense, for these purposes. In this paper we characterise a family of neighbour transitive codes in Hamming graphs in which frequency permutation arrays play a central rode. We also classify all the permutation codes generated by groups in this family.
Classification : 94B25, 20B25, 05C25
Keywords: powerline communication, constant composition codes, frequency permutation arrays, neighbour transitive codes, permutation codes, automorphism groups 
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     author = {Gillespie, Neil I. and Praeger, Cheryl E.},
     title = {Diagonally neighbour transitive codes and frequency permutation arrays},
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     url = {http://geodesic.mathdoc.fr/item/JAC_2014__39_3_a0/}
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Gillespie, Neil I.; Praeger, Cheryl E. Diagonally neighbour transitive codes and frequency permutation arrays. Journal of Algebraic Combinatorics, Tome 39 (2014) no. 3, pp. 733-747. http://geodesic.mathdoc.fr/item/JAC_2014__39_3_a0/