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New linear codes over Zps via the trace map

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conference contribution
posted on 2024-11-23, 00:36 authored by Asha RaoAsha Rao, Nimalsiri Pinnawala Ralalage
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.

History

Outlet

Proceedings of the 2005 IEEE International Symposium on Information Theory

Editors

A. Grant

Name of conference

2005 IEEE International Symposium on Information Theory

Publisher

IEEE

Place published

USA

Start date

2005-09-04

End date

2005-09-09

Language

English

Copyright

© 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.

Former Identifier

2005001361

Esploro creation date

2020-06-22

Fedora creation date

2009-04-08

Open access

  • Yes

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