Dr. N. Annamalai
@gptcsankarapuram.edu.in
Lecturer in Mathematics
Government Polytechnic College, Sankarapuram
EDUCATION
M. Sc., M. Phil., Ph. D.,
RESEARCH, TEACHING, or OTHER INTERESTS
Discrete Mathematics and Combinatorics, Algebra and Number Theory
Scopus Publications
Scholar Citations
Scholar h-index
Scopus Publications
N. Annamalai and C. Durairajan
Taru Publications
N. Annamalai and C. Durairajan
Informa UK Limited
In this paper, we examine the linear codes with respect to the Hamming metric from incidence matrices of the zero-divisor graphs with vertex set is the set of all non-zero zero-divisors of the ring $\\mathbb{Z}_n$ and two distinct vertices being adjacent iff their product is zero over $\\mathbb{Z}_n.$ The main parameters of the codes are obtained.
N. Annamalai and C. Durairajan
World Scientific Pub Co Pte Lt
In this paper, we gives lower and upper bounds on the covering radius of codes over [Formula: see text], where [Formula: see text] is a prime integer with respect to Lee distance. We also determine the covering radius of various Repetition codes over [Formula: see text], where [Formula: see text] is a prime integer.
N. Annamalai and C. Durairajan
World Scientific Pub Co Pte Lt
This paper gives lower and upper bounds on the covering radius of codes over [Formula: see text] with respect to Lee distance. We also determine the covering radius of various repetition codes over [Formula: see text]
N. Annamalai and C. Durairajan
IEEE
In this paper, we study the algebraic structure of Z<sub>2</sub> [u]Z<sub>2</sub> [u, v]-additive codes which are Z<sub>2</sub> [u, v]-submodules where u<sup>2</sup> = v<sup>2</sup> = 0 and uv = vu. In particular, we determine a Gray map from Z<sub>2</sub>[u]Z<sub>2</sub>[u, v] to Z<sub>2</sub><sup>2α+8β</sup> and study generator and parity check matrices for these codes. Further we study the structure of Z<sub>2</sub>[u]Z<sub>2</sub>[u, v]-additive cyclic codes.