DocumentCode :
778543
Title :
On the additive (Z4-linear and non-Z4-linear) Hadamard codes: rank and kernel
Author :
Phelps, Kevin T. ; Rifà, Josep ; Villanueva, Mercè
Author_Institution :
Dept. of Math. & Stat., Auburn Univ., AL, USA
Volume :
52
Issue :
1
fYear :
2006
Firstpage :
316
Lastpage :
319
Abstract :
All the possible nonisomorphic additive (Z4-linear and non-Z4-linear) Hadamard codes are characterized and the rank and the dimension of the kernel are computed for each one.
Keywords :
Hadamard codes; Hadamard matrices; binary codes; linear codes; 
4-linear code; Hadamard code; Hadamard matrix; additive code; extended perfect code; non4-linear Hadamard codes; Additives; Binary codes; Error correction; Error correction codes; Hamming distance; Kernel; Linear code; Mathematics; Parity check codes; Vectors; Additive codes; Hadamard codes; Hadamard matrices; extended perfect codes; kernel; rank;
4-linear code; Hadamard code; Hadamard matrix; additive code; extended perfect code; non4-linear Hadamard codes; Additives; Binary codes; Error correction; Error correction codes; Hamming distance; Kernel; Linear code; Mathematics; Parity check codes; Vectors; Additive codes; Hadamard codes; Hadamard matrices; extended perfect codes; kernel; rank;fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2005.860464
Filename :
1564448
Link To Document :
