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Madhubala, M.
- Z27 - Quadratic Residue Codes
Abstract Views :297 |
PDF Views:140
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
References
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- Shakila Banu P, Madhubala M. Properties of Quadratic Residue Codes over Z27. Proceedings of the 2nd International Conference on Collaborative Research in Mathematical Sciences; 2018.
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- Some Properties of Double Vertex Regular Fuzzy Graph
Abstract Views :367 |
PDF Views:184
Authors
Affiliations
1 Department of Mathematics, Vellalar College for Women, Erode – 638012, Tamil Nadu, IN
2 Government Boys Higher Secondary School, Bhavani – 638 012, Tamil Nadu, IN
1 Department of Mathematics, Vellalar College for Women, Erode – 638012, Tamil Nadu, IN
2 Government Boys Higher Secondary School, Bhavani – 638 012, Tamil Nadu, IN
Source
ScieXplore: International Journal of Research in Science, Vol 6, No 1 (2019), Pagination: 21-26Abstract
In this paper, we define a new type of fuzzy graph obtained from crisp graph, named Double Vertex Fuzzy Graph (DVFG) and also discussed some properties of double vertex regular fuzzy graph.Keywords
Double Vertex Fuzzy Graph, Order, Size, Regular Fuzzy Graph, Vertex DegreeFull Text
References
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- Bondy JA and Murty USR. Graph Theory with Applications, MacMillan, London, 1979.
- Nagoor Gani A and Radha K, On Regular Fuzzy Graphs, Journal of Physical Science. 2008; 12:33-40.
- Pathinathan T. and J. Jesintha Rosline. Double layered fuzzy graph, Annals of Pure and Applied Mathematics. 2014; 8(1): 135-143.
- Rosenfeld A. Fuzzy Graphs, Fuzzy sets and their Applications, L. A. Zadeh, K.S. Fu, M.Shimura, Eds., Academic press 1975: 77–95.