DocumentCode
1355904
Title
Cocyclic Hadamard codes
Author
Horadam, Kathy J. ; Udaya, Parampalli
Author_Institution
Dept. of Math., R. Melbourne Inst. of Technol., Vic., Australia
Volume
46
Issue
4
fYear
2000
fDate
7/1/2000 12:00:00 AM
Firstpage
1545
Lastpage
1550
Abstract
We demonstrate that many well-known binary, quaternary, and q-ary codes are cocyclic Hadamard codes; that is, derived from a cocyclic generalized Hadamard matrix or its equivalents. Nonlinear cocyclic Hadamard codes meet the generalized Plotkin bound. Using presemifield multiplication cocycles, we construct new equivalence classes of cocyclic Hadamard codes which meet the Plotkin bound
Keywords
Hadamard codes; Hadamard matrices; binary codes; Plotkin bound; binary Hadamard codes; binary codes; cocyclic Hadamard codes; cocyclic generalized Hadamard matrix; convolutional codes; equivalence classes; generalized Plotkin bound; nonlinear cocyclic Hadamard codes; presemifield multiplication cocycles; q-ary codes; quaternary codes; Constraint theory; Equations; Error correction; Error correction codes; Galois fields; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.850692
Filename
850692
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