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This article is cited in 1 scientific paper (total in 1 paper)
A generalisation of quadratic residue codes to the case of cubic and biquadratic residues
D. N. Semenovykh
Abstract:
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.
Received: 15.06.2005
Citation:
D. N. Semenovykh, “A generalisation of quadratic residue codes to the case of cubic and biquadratic residues”, Diskr. Mat., 17:4 (2005), 143–149; Discrete Math. Appl., 15:6 (2005), 573–580
Linking options:
https://www.mathnet.ru/eng/dm136https://doi.org/10.4213/dm136 https://www.mathnet.ru/eng/dm/v17/i4/p143
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Abstract page: | 574 | Full-text PDF : | 260 | References: | 30 | First page: | 1 |
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