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Fourier Codes

2015/03/11 by R. M. Campello de Souza, de Souza, R. M. Campello, E. S. V. Freire +3
Computer Science · Mathematics · #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.DM #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1503.03293

6 pages, 2 tables. In: 10th International Symposium on Communication Theory and Applications 2009, Ambleside, Lake District, UK

arxiv created 2015/03/11 · arxiv updated 2015/03/12

Abstract

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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