Fourier Codes

A new family of error-correcting codes, called Fourier codes, is introduced. The code parity-check matrix, dimension and an upper bound on its minimum distance are obtained from the eigenstructure of the Fourier number theoretic transform. A decoding technique for such codes is proposed.

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Bibliographic Details
Published in:arXiv.org 2015-03
Main Authors: R M Campello de Souza, Freire, E S V, de Oliveira, H M
Format: Article
Language:English
Subjects:
Binary system
Codes
Decoding
Error correcting codes
Error correction
Upper bounds
Online Access:Get full text
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Description
Summary:A new family of error-correcting codes, called Fourier codes, is introduced. The code parity-check matrix, dimension and an upper bound on its minimum distance are obtained from the eigenstructure of the Fourier number theoretic transform. A decoding technique for such codes is proposed.
ISSN:2331-8422