Shobana Ramachandran

@vcw.ac.in

Research Scholar and Department of Mathematics
Vellalar College for Women

Shobana Ramachandran

EDUCATION

M.Sc., Mathematics
Ph.D., - Pursuing

RESEARCH, TEACHING, or OTHER INTERESTS

Algebra and Number Theory, Applied Mathematics, General Mathematics, Control and Optimization
1

Scopus Publications

5

Scholar Citations

2

Scholar h-index

Scopus Publications

  • Eight Error Correction for (57,29,17) Quadratic Residue Code Over Binary Field
    P. Shakila Banu
    Communications on Applied Nonlinear Analysis, 2024
    This paper introduces novel parameters and presents a method- ology for identifying the necessary syndrome indices required to compute the unknown syndromes within the context of the (57, 29, 17) quadratic residue code. By determining the resulting index sets, the unknown syndromes can be computed, subsequently leading to the derivation of the corresponding error-locator polynomial through the application of a de- coding algorithm.

RECENT SCHOLAR PUBLICATIONS

  • A Novel Computational Framework for Weight Distributions in QR Codes: The Case of (57,29,17)
    PS Banu, R Shobana
    Advances in Nonlinear Variational Inequalities 28 (7s), 63 - 71 , 2025
    2025
  • Optimizing Lee Weight for Extended Quadratic code (58, 29, 18)
    PS Banu, R Shobana
    Journal of Civil and Environmental Engineering 12 (12), 132 - 142 , 2024
    2024
    Citations: 1
  • Playing Pokers using TSP Method
    R Shobana
    Trends in Contemporary Mathematics 3, 48 - 64 , 2024
    2024
  • Articulation of Cortical Connectivity
    R Shobana
    Futuristic Trends in Management 3, 8 - 18 , 2024
    2024
  • Eight Error Correction for (57, 29, 17) Quadratic Residue Code Over Binary Field
    PS Banu, R Shobana
    Communicat. Appl. Nonlinear Analysis 31 (2s) , 2024
    2024
    Citations: 2
  • Fourier series in electrocardiograph
    R Shobana, J Pavithra
    International Journal of Mathematics Trends and Technology-IJMTT 67 , 2021
    2021
    Citations: 2

MOST CITED SCHOLAR PUBLICATIONS

  • Eight Error Correction for (57, 29, 17) Quadratic Residue Code Over Binary Field
    PS Banu, R Shobana
    Communicat. Appl. Nonlinear Analysis 31 (2s) , 2024
    2024
    Citations: 2
  • Fourier series in electrocardiograph
    R Shobana, J Pavithra
    International Journal of Mathematics Trends and Technology-IJMTT 67 , 2021
    2021
    Citations: 2
  • Optimizing Lee Weight for Extended Quadratic code (58, 29, 18)
    PS Banu, R Shobana
    Journal of Civil and Environmental Engineering 12 (12), 132 - 142 , 2024
    2024
    Citations: 1
  • A Novel Computational Framework for Weight Distributions in QR Codes: The Case of (57,29,17)
    PS Banu, R Shobana
    Advances in Nonlinear Variational Inequalities 28 (7s), 63 - 71 , 2025
    2025
  • Playing Pokers using TSP Method
    R Shobana
    Trends in Contemporary Mathematics 3, 48 - 64 , 2024
    2024
  • Articulation of Cortical Connectivity
    R Shobana
    Futuristic Trends in Management 3, 8 - 18 , 2024
    2024

Publications

Shobana R, Articulation of Cortical Connectivity, Futuristic Trends in Contemporary Mathematics & Applications Volume 3 Book 1, 8-18, 2024. doi:
Shobana R, Playing Pokers using TSP Method, Futuristic Trends in Contemporary Mathematics & Applications Volume 3 Book 1, 38-54, 2024. doi: