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Dr. J. Mahalakshmi

Assistant Professor (Sr. Gd.), Department of Mathematics, School of Physical Sciences, Coimbatore

Qualification: BSc, MPhil, MSc, Ph.D
j_mahalakshmi@cb.amrita.edu
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Research Interest: Algebra, Mathematical Coding Theory

Bio Publications Qualifications Invited Talks Teaching Awards Research
Bio

Dr. J. Mahalakshmi currently serves as Assistant Professor (Sr.Gr) at the Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore Campus. She joined Amrita Vishwa Vidyapeetham, Coimbatore, in November 2015.

 

 

Publications

Journal Article

Year : 2025

Detection and mitigation of TCP-based DDoS attacks in cloud environments using a self-attention and intersample attention transformer model

Cite this Research Publication : G. Kirubavathi, I. R. Sumathi, J. Mahalakshmi, Durgesh Srivastava, Detection and mitigation of TCP-based DDoS attacks in cloud environments using a self-attention and intersample attention transformer model, The Journal of Supercomputing, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s11227-025-06940-5

Publisher : Springer Science and Business Media LLC

Year : 2025

A note on Category of SuperHyper BCI-Algebra

Cite this Research Publication : , A note on Category of SuperHyper BCI-Algebra, International Journal of Neutrosophic Science, American Scientific Publishing Group (ASPG) LLC, 2025, https://doi.org/10.54216/ijns.250221

Publisher : American Scientific Publishing Group (ASPG) LLC

Year : 2025

Two families of $${\mathbb {Z}}_{p^{m}}$$-linear codes and their applications

Cite this Research Publication : J. Prabu, J. Mahalakshmi, Two families of $${\mathbb {Z}}_{p^{m}}$$-linear codes and their applications, Applicable Algebra in Engineering, Communication and Computing, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s00200-025-00683-9

Publisher : Springer Science and Business Media LLC

Year : 2023

A Novel Approach to the Algebraic Structure of Neutrosophic SuperHyper Algebra

Cite this Research Publication : S Santhakumar, I R Sumathi, & J Mahalakshmi J. (2023). A Novel Approach to the Algebraic Structure of Neutrosophic SuperHyper Algebra.

Year : 2023

A class of t-weight codes and its applications

Cite this Research Publication : J. Prabu, J. Mahalakshmi, S. Santhakumar, A class of t-weight codes and its applications, Journal of Algebra and Its Applications, World Scientific Pub Co Pte Ltd, 2023, https://doi.org/10.1142/s0219498825500963

Publisher : World Scientific Pub Co Pte Ltd

Year : 2022

Unit Zq-Simplex codes of type α and zero divisor Zq-Simplex codes

Cite this Research Publication : [author], Unit Zq-Simplex codes of type α and zero divisor Zq-Simplex codes, [source], [publisher], 2022, https://doi.org/10.22049/cco.2022.27363.1247

Year : 2021

On some punctured codes of ℤq-Simplex codes

Cite this Research Publication : J. Prabu, J. Mahalakshmi, C. Durairajan, S. Santhakumar, On some punctured codes of ℤq-Simplex codes, Discrete Mathematics, Algorithms and Applications, World Scientific Pub Co Pte Ltd, 2021, https://doi.org/10.1142/s1793830922500124

Publisher : World Scientific Pub Co Pte Ltd

Year : 2020

On R-linear Codes and Its Covering Radius of Some Classes of Linear Codes in R

Cite this Research Publication : , , Advances in Mathematics: Scientific Journal, Union of Researchers of Macedonia, 2020, https://doi.org/10.37418/amsj.9.3

Publisher : Union of Researchers of Macedonia

Year : 2016

On the Zq-macdonald Code and Its Weight Distribution of Dimension 3

Cite this Research Publication : On the Zq-Macdonald code and its weight distribution of dimension 3 J. Mahalakshmi, C. Durairajan 2016

Year : 2015

On the ℤq-Simplex codes and its weight distribution for dimension 2

Cite this Research Publication : C. Durairajan, J. Mahalakshmi, P. Chella Pandian, On the ℤq-Simplex codes and its weight distribution for dimension 2, Discrete Mathematics, Algorithms and Applications, World Scientific Pub Co Pte Lt, 2015, https://doi.org/10.1142/s1793830915500305

Publisher : World Scientific Pub Co Pte Lt

Conference Paper

Year : 2017

Z_q – Simplex Codes and its Weight Distributions

Cite this Research Publication : J. Mahalakshmi and Durairajan, C., “Z_q - Simplex Codes and its Weight Distributions”, in 13th Annual Conference & Graph Theory Day – XIII, 2017.

Publisher : 13th Annual Conference Graph Theory Day – XIII

Qualifications
  • Doctor of Philosophy (Ph.D.) in Mathematics Algebraic Coding Theory
    Thesis Title : On Zq-Simplex Codes and Punctured Codes of Zq-Simplex Code and Parameters of these Codes
    Bharathidasan University, Tiruchirappalli January 2011-November 2015.
  • Master of Philosophy (M.Phil.) in Mathematics Mathematics
    Seethalakshmi Ramaswamy College, Tiruchirappalli.
    2008-2009
  • Master of Science (M.Sc.) in Mathematics Mathematics
    C. Kandaswamy Naidu College for Women, Cuddalore.
    2006-2008

Experience

Position Institution Duration
Assistant Professor Amrita Vishwa Vidyapeetham, Coimbatore Since November 2015.
Invited Talks
  • Organized a “Two-day workshopon active learning using mathematical software tools” on December 9th & 10th, 2022 at Amrita Vishwa Vidyapeetham, Coimbatore.
  • Organized an “One day International Webinar on Algebra, Differential Equations & Its Applications (IWADE – 2021)” on 20th November 2021 at Amrita Vishwa Vidyapeetham, Coimbatore.
  • Delivered an Invited Talk in the “13th Annual Conference of the Academy of Discrete Mathematics and Applications (ADMA)” held at SSN, Chennai during June 8-10, 2017.
  • Served as a Session Chair in International Conference in Discrete Mathematics held at Bharathidasan University, December 11-13, 2025.
  • Participated in the Five-Day Workshop cum FDP on Amplifying AI: Advanced Optimization Strategies for Enhanced Performance, May 27-31, 2024 held at IIIT Kottayam.
  • NPTEL-AICTE FDP on Introduction to Machine Learning, July-September, 2023.
  • NPTEL-AICTE FDP on The Joy of Computing Python, July-September, 2023.
  • Served as faculty co-ordinator in “36th Annual Conference of Ramanujan Mathematical Society and Pre-Conference Symposium” on 4th August, 2022, at Amrita Vishwa Vidyapeetham, Coimbatore.
  • Participated in the National Conference on Coding Theory and Cryptography held at Fatima College, Madurai during September 7-8, 2011.
  • Participated in the Symposium on Indian Women and Mathematics held at The Institute of Mathematical Sciences, Chennai during January 8-10, 2012.
  • Participated in the National Conference on Frontiers in Analysis and Differential Equations held at Bharathidasan University, Tiruchirappalli during December 19-20, 2012.
  • Participated in the International Conference on Computational Intelligence, Cyber Security and Computational Models held at PSG College of Technology, Coimbatore during December 19-21, 2013.
  • Participated in the National Level Seminar on Cryptography and Network Security held at Saranathan College of Engineering, Tiruchirappalli during January 24-25, 2014.
  • Participated in the One Week Workshop on Graph Theory, Coding Theory and Cryptography held at National Institute of Technology, Durgapur during April 7-13, 2014.
  • Participated in the Fourth India Taiwan Conference on Discrete Mathematics held at IIT-Madras, Chennai during July 10-13, 2015.
  • Participated in the Advanced Training Programme in Mathematical Analysis held at Bharathidasan University, Trichy during August 05-09, 2015.
  • Participated in the 31st Annual Conference of the Ramanujan Mathematical Society held at Bharathidasan University, Trichy during June 18-21, 2016.
  • Participated in the Science Academies’ Lecture Workshop on ALGEBRA, Trichy during August 16-18, 2018.
Teaching

List major courses taught:

Discrete Mathematics, Linear Algebra, Calculus, Matrix Algebra, Ordinary Differential Equation, Optimization Techniques, Abstract Algebra, Coding Theory.

Awards
  • DST WOMEN SCIENTISTS SCHEME A 2012 – Recipient of the DST-Women Scientists Scheme-A (WOS-A) Project
  • NBHM 2019 – Recipient of the NBHM Project
  • AMRITA VISHWA VIDYAPEETHAM 2021, 2022,2023 – Received the “Chancellor’s Publication Excellence Award”
  • AMRITA VISHWA VIDYAPEETHAM 2021 – Received the “Chancellor’s Award For Extramural Grant”
Research

Research Projects

Title Funding Agency Role Amount Duration
On Punctured Codes of Zq-Simplex Codes NBHM PI Rs. 15,27,490/- 2019-2022
On Covering Codes DST WOS-A PI Rs. 12, 53,000/- 2012-2015

Research Guidance – PhD Students

Student Name & Roll Number Research Topic Status
J. Prabu &  CB.SC.D*MAT19005 A STUDY ON SOME PUNCTURED CODES OF SIMPLEX

CODES

 Completed              (December 2019-March 2024)

PG / UG Projects Guided

Student Name & Roll Number Project Title Year
Nikhil Raj P& CB.SC.I5DAS20023 (PG)

 

 ViT-Swin-UNet: A Transformer-Based Framework for Liver Tumor Analysis in CT Images 2025
Anjana G Pai & CB.SC.I5MAT19004 (PG)

 

 A CLASS OF UNIT Zq-SIMPLEX CODE WITH RESPECT TO HOMOGENEOUS DISTANCE 2024
M S Sooraj Subrahmaniyan & CB.SC.I5MAT18027 (PG) A CLASS OF Zq-SIMPLEX CODE WITH RESPECT TO

HOMOGENEOUS DISTANCE

 2023
Sanmaya K M & CB.SC.I5MAT17023 (PG) A CLASS OF Zq-SIMPLEX CODE WITH RESPECT TO LEE DISTANCE 2022
RAMYA. C & CB.PS.I5MAT22007 (UG)

 

 MATHEMATICS AT THE CORE OF CRYPTOGRAPHY 2025
ADITHYA V & CB.SC.I5MAT19001 (UG)

 

 Elementary Number Theory and its Modern Applications 2022
Mrinalini S & CB.SC.I5MAT17017 (UG) BASICS OF CODING THEORY 2020

 

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