Dr. N. Annamalai

@gptcsankarapuram.edu.in

Lecturer in Mathematics
Government Polytechnic College, Sankarapuram

Dr. N. Annamalai


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https://researchid.co/annamalai

EDUCATION

M. Sc., M. Phil., Ph. D.,

RESEARCH, TEACHING, or OTHER INTERESTS

Discrete Mathematics and Combinatorics, Algebra and Number Theory
8

Scopus Publications

45

Scholar Citations

4

Scholar h-index

2

Scholar i10-index

Scopus Publications

  • On zero-divisor graph of the ring Fp + uFp + u2Fp
    Communications in Combinatorics and Optimization, 2025
  • MINIMUM ROMAN DOMINATING DISTANCE ENERGY OF A GRAPH
    Journal of the Indonesian Mathematical Society, 2023
  • Exponent of cyclic codes over Fq
    N. Annamalai, C. Durairajan
    Journal of Discrete Mathematical Sciences and Cryptography, 2023
    In this paper, we introduce the exponent of a cyclic code over the finite field with q = pm elements. Also, we prove that the exponent of the dual of cyclic code satisfies the condition n = lcm(e, r) where n is the length of the cyclic code, e = exp(C) and r = exp(C⊥ ).
  • Codes from the incidence matrices of a zero-divisor graphs
    N. Annamalai, C. Durairajan
    Journal of Discrete Mathematical Sciences and Cryptography, 2023
    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.
  • On covering radius of codes over Z2p
    N. Annamalai, C. Durairajan
    Asian European Journal of Mathematics, 2020
    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.
  • On codes over Z p 2 and its covering radius
    N. Annamalai, C. Durairajan
    Asian European Journal of Mathematics, 2019
    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]
  • Common fixed point results for weakly compatible mappings using C-class functions
    Journal of Computational Analysis and Applications, 2018
  • The structure of ℤ2[u]ℤ2[u, v]-additive Codes
    N. Annamalai, C. Durairajan
    International Conference on Electrical Electronics and Optimization Techniques Iceeot 2016, 2016
    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.

RECENT SCHOLAR PUBLICATIONS

  • On Zero-Divisor Graph of the Ring
    N Annamalai
    arXiv preprint arXiv:2605.17847 , 2026
    2026
  • Minimum Roman Dominating Distance Energy of A Graph
    R Lakshmanan, N Annamalai
    Journal of the Indonesian Mathematical Society 29 (3), 338-346 , 2023
    2023
  • On Zero-Divisor Graph of the ring
    N Annamalai
    Communications in Combinatorics and Optimization, 1-13 , 2023
    2023
    Citations: 2
  • Linear Codes from Incidence Matrices of Unit Graphs
    N Annamalai, C Durairajan
    Journal of Information and Optimization Sciences , 2021
    2021
    Citations: 12
  • Exponent of cyclic codes over Fq
    N Annamalai, C Durairajan
    Journal of Discrete Mathematical Sciences and Cryptography, 1-6 , 2021
    2021
    Citations: 1
  • Additive Tridiagonal Codes over
    N Annamalai, A Mohan, C Durairajan
    arXiv preprint arXiv:2104.05405 , 2021
    2021
  • Codes from the Incidence Matrices of a zero-divisor Graphs
    N Annamalai, C Durairajan
    Journal of Discrete Mathematical Sciences & Cryptography , 2020
    2020
    Citations: 10
  • On covering radius of codes over
    N Annamalai, C Durairajan
    Asian-European Journal of Mathematics 13 (02), 2050033 , 2020
    2020
    Citations: 5
  • On codes over and its covering radius
    N Annamalai, C Durairajan
    Asian-European Journal of Mathematics 12 (02), 1950027 , 2019
    2019
    Citations: 6
  • COMMON FIXED POINT RESULTS FOR WEAKLY COMPATIBLE MAPPINGS USING C-CLASS FUNCTIONS.
    GK Jacob, AH Ansari, P CHOONKIL, N Annamalai
    Journal of Computational Analysis & Applications 25 (1) , 2018
    2018
    Citations: 4
  • Quaternary Linear Intersecting Codes
    N ANNAMALAI, C DURAIRAJAN, V MARKA
    International Journal of Pure and Applied Mathematics 113 (7), 129-135 , 2017
    2017
  • Relative Two-Weight ℤ2ℤ4-Additive Codes
    N Annamalai, C Durairajan
    International Journal of Computer & Mathematical Sciences 5 (11), 30-34 , 2016
    2016
    Citations: 2
  • The structure of Z 2 [u]Z 2 [u, v]-additive Codes
    N Annamalai, C Durairajan
    2016 International Conference on Electrical, Electronics, and Optimization … , 2016
    2016
    Citations: 3

MOST CITED SCHOLAR PUBLICATIONS

  • Linear Codes from Incidence Matrices of Unit Graphs
    N Annamalai, C Durairajan
    Journal of Information and Optimization Sciences , 2021
    2021
    Citations: 12
  • Codes from the Incidence Matrices of a zero-divisor Graphs
    N Annamalai, C Durairajan
    Journal of Discrete Mathematical Sciences & Cryptography , 2020
    2020
    Citations: 10
  • On codes over and its covering radius
    N Annamalai, C Durairajan
    Asian-European Journal of Mathematics 12 (02), 1950027 , 2019
    2019
    Citations: 6
  • On covering radius of codes over
    N Annamalai, C Durairajan
    Asian-European Journal of Mathematics 13 (02), 2050033 , 2020
    2020
    Citations: 5
  • COMMON FIXED POINT RESULTS FOR WEAKLY COMPATIBLE MAPPINGS USING C-CLASS FUNCTIONS.
    GK Jacob, AH Ansari, P CHOONKIL, N Annamalai
    Journal of Computational Analysis & Applications 25 (1) , 2018
    2018
    Citations: 4
  • The structure of Z 2 [u]Z 2 [u, v]-additive Codes
    N Annamalai, C Durairajan
    2016 International Conference on Electrical, Electronics, and Optimization … , 2016
    2016
    Citations: 3
  • On Zero-Divisor Graph of the ring
    N Annamalai
    Communications in Combinatorics and Optimization, 1-13 , 2023
    2023
    Citations: 2
  • Relative Two-Weight ℤ2ℤ4-Additive Codes
    N Annamalai, C Durairajan
    International Journal of Computer & Mathematical Sciences 5 (11), 30-34 , 2016
    2016
    Citations: 2
  • Exponent of cyclic codes over Fq
    N Annamalai, C Durairajan
    Journal of Discrete Mathematical Sciences and Cryptography, 1-6 , 2021
    2021
    Citations: 1
  • On Zero-Divisor Graph of the Ring
    N Annamalai
    arXiv preprint arXiv:2605.17847 , 2026
    2026
  • Minimum Roman Dominating Distance Energy of A Graph
    R Lakshmanan, N Annamalai
    Journal of the Indonesian Mathematical Society 29 (3), 338-346 , 2023
    2023
  • Additive Tridiagonal Codes over
    N Annamalai, A Mohan, C Durairajan
    arXiv preprint arXiv:2104.05405 , 2021
    2021
  • Quaternary Linear Intersecting Codes
    N ANNAMALAI, C DURAIRAJAN, V MARKA
    International Journal of Pure and Applied Mathematics 113 (7), 129-135 , 2017
    2017