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A generalisation of quadratic residue codes to the case of cubic and biquadratic residues.
- Source :
-
Discrete Mathematics & Applications . 2005, Vol. 15 Issue 6, p573-580. 8p. - Publication Year :
- 2005
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*MATRICES (Mathematics)
*CONGRUENCES & residues
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 09249265
- Volume :
- 15
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19064351
- Full Text :
- https://doi.org/10.1515/156939205774939371