Z27 - Quadratic Residue Codes

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Authors

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

DOI:

https://doi.org/10.15613/sijrs/2018/v5i2/207624

Keywords:

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

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.

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Published

2018-12-01

Issue

Volume 5,Issue 2, December 2018

Section

Articles

 

References

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