On the intersection of ℤ24-additive Hadamard codes

Josep Rifa*, Faina I. Solov'eva, Mercè Villanueva

*Autor corresponent d’aquest treball

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Resum

The intersection structure for ℤ24 -additive Hadamard codes is investigated. For any two of these codes C1 C2, the Abelian group structure of the intersection C1 ∩ C2 is characterized. The parameters of this Abelian group structure corresponding to the intersection codes are computed, establishing lower and upper bounds for them. Constructions are given of codes whose intersection has any parameters between these bounds. Finally, the intersection problem, i.e., what the possibilities are for the number of codewords in the intersection of two ℤ24-additive Hadamard codes C1 and C2 being of the same length, is also studied. Lower and upper bounds for the intersection number are established and, for any value between these bounds, codes with this intersection value are constructed.

Idioma originalAnglès
Pàgines (de-a)1766-1774
Nombre de pàgines9
RevistaIEEE Transactions on Information Theory
Volum55
Número4
DOIs
Estat de la publicacióPublicada - 2009

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