New linear codes over Zps via the trace map

Rao, A and Pinnawala Ralalage, N 2005, 'New linear codes over Zps via the trace map', in A. Grant (ed.) Proceedings of the 2005 IEEE International Symposium on Information Theory, Adelaide, Australia, 4-9 September 2005.


Document type: Conference Paper
Collection: Conference Papers

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Title New linear codes over Zps via the trace map
Author(s) Rao, A
Pinnawala Ralalage, N
Year 2005
Conference name 2005 IEEE International Symposium on Information Theory
Conference location Adelaide, Australia
Conference dates 4-9 September 2005
Proceedings title Proceedings of the 2005 IEEE International Symposium on Information Theory
Editor(s) A. Grant
Publisher IEEE
Place of publication USA
Abstract The trace map has been used very successfully to generate cocyclic complex and Butson Hadamard matrices and simplex codes over Z4 and Z2s. We extend this technique to obtain new linear codes over Zps. It is worth nothing here that these codes are cocyclic but not simplex codes. Further we find that the construction method also gives Butson Hadamard matrices of order psm.
Subjects Mathematical Physics not elsewhere classified
Keyword(s) linear codes
Hadamard matrices
DOI - identifier 10.1109/ISIT.2005.1523306
Copyright notice © 2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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