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Banu, P. Shakila
- Z27 - Quadratic Residue Codes
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Authors
Affiliations
1 Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, IN
1 Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, IN
Source
ScieXplore: International Journal of Research in Science, Vol 5, No 2 (2018), Pagination: 27-33Abstract
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 ResiduesFull Text
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