DocumentCode :
1197563
Title :
On the Intersection of 
-Additive Hadamard Codes
Author :
Rifà, Josep ; Solov´eva, Faina I. ; Villanueva, Mercè
Author_Institution :
Dept. of Inf. & Commun. Eng., Univ. Autonoma de Barcelona, Barcelona
Volume :
55
Issue :
4
fYear :
2009
fDate :
4/1/2009 12:00:00 AM
Firstpage :
1766
Lastpage :
1774
Abstract :
The intersection structure for Z 2 Z 4-additive Hadamard codes is investigated. For any two of these codes C 1 and C 2, the Abelian group structure of the intersection C 1 capC 2 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.
Keywords :
Hadamard codes; Abelian group structure; Z2Z4-additive Hadamard codes; code intersection; intersection problem; Binary codes; Error correction; Error correction codes; Galois fields; Hamming distance; Linear code; Mathematics; Symmetric matrices; Upper bound; Vectors; Additive codes; Hadamard codes; extended perfect codes; perfect codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2009.2013037
Filename :
4802314
Link To Document :
