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D. N. Semyonovykh

A generalisation of quadratic residue codes to the case of cubic and biquadratic residues

In this paper, we consider a generalisation of quadratic residue codes to the cases of higher power residues. Such a generalisation enhances the information transmission rate with the use of such codes as compared with the quadratic-residue codes, at a sacrifice in the lower bound for the code distance, though. We consider the construction of generating polynomials for such codes, which allows to write explicitly their generating matrix.

Discrete Mathematics and Applications, Walter de Gruyter

Print ISSN: 0924-9266
Volume: 15, 11/2005
Seiten: 573 - 580

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