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Z27 - Quadratic Residue Codes


Affiliations
1 Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India
 

In this paper, we consider a certain types of cyclic codes over Ζ27, called quadratic residue codes over Ζ27. We find the Ζ27 - quadratic residue codes using their idempotent generators and show exhibit that these codes also have excellent properties which are similar in much respect to the properties of quadratic residue codes.

Keywords

Check Polynomial, Cyclic Codes, Generator Polynomial, Idempotent Generator, Orthogonal Codes, Quadratic Residues
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  • Z27 - Quadratic Residue Codes

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Authors

P. Shakila Banu
Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India
M. Madhubala
Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India

Abstract


In this paper, we consider a certain types of cyclic codes over Ζ27, called quadratic residue codes over Ζ27. We find the Ζ27 - quadratic residue codes using their idempotent generators and show exhibit that these codes also have excellent properties which are similar in much respect to the properties of quadratic residue codes.

Keywords


Check Polynomial, Cyclic Codes, Generator Polynomial, Idempotent Generator, Orthogonal Codes, Quadratic Residues

References





DOI: https://doi.org/10.15613/sijrs%2F2018%2Fv5i2%2F207624