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