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arxiv: 1503.03293 · v1 · pith:3AOFWLBJnew · submitted 2015-03-11 · 💻 cs.IT · cs.DM· math.IT

Fourier Codes

classification 💻 cs.IT cs.DMmath.IT
keywords codesfourierboundcalledcodedecodingdimensiondistance
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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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