Dr. R. S. Selvaraj

Associate Professor

Department of Mathematics

National Institute of Technology, Warangal - 506004, Telangana, INDIA

: rsselva@nitw.ac.in

: 9908539330, 8332969454

Interests: Algebraic Coding Theory; --- (involving Abstract Algebra, Linear Algebra, Combinatorics, finite normed/metric spaces)

Specializations

  • Algebraic Coding Theory

Coding Theory is a rather new addition to the list of mathematical disciplines. It grew out of the need to communicate information electronically. Being an applied discipline by definition, a surprisingly large number of pure mathematical areas tie into Coding Theory - the most important being Linear Algebra, then Algebra and Combinatorics, and further Number Theory and Algebraic Geometry.


Message

A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself


Educational Background

  • Ph.D. (2006) from IIT Madras in the area of coding theory & the thesis title is "Metric Properties of Rank Distance Codes"
  • M.Sc. Mathematics from Loyola College, Chennai
  • B.Sc. Mathematics from Loyola College, Chennai


 

Course Taught Previously

Courses Currently Being Taught [Aug. - Dec. 2021]

  1. Real Analysis for I M.Sc. [Applied Mathematics, Mathematics & Scientific Computing]
  2. Complex Variables and Special Functions (CVSF) for II B.Tech. ECE [Section - A, B]

 

Courses Taught Previously [since January 2007]

  • Advanced Modern Algebra for I M.Sc. [Applied Mathematics]
  • Topology for I M.Sc. [Applied Mathematics]
  • Linear Algebra for I M.Sc. [Applied Mathematics; Mathematics & Scientific Computing]
  • Measure & Integration for II M.Sc. [Applied Mathematics]
  • Discrete Mathematics for I M.Sc. [Mathematics both streams]
  • Cryptography for I M.Sc. [Mathematics & Scientific Computing]
  • Mathematics for Communication Engineers for I M.Tech. [Advanced Communication Systems][ECE]
  • Design & Analysis of Algorithms for I M.Sc. [Mathematics & Scientific Computing]
  • Optimization Techniques for I M.Sc. [Mathematics & Scientific Computing]
  • Mathematical Logic, Combinatorics & Graph Theory for I MCA
  • Mathematics - I, II for I year B.Tech. Students
  • Mathematics - III, IV for II year B.Tech. Students
  • Signal Transformation Techniques for II B.Tech. ECE
  • Discrete Mathematics for II B.Tech. CSE
  • Complex Variables and Special Functions (CVSF) for II B.Tech. ECE
  • Programming Laboratory for I M.Sc. [Applied Mathematics]

Publications

Journal Publication Details

[10] Irrinki Gnanasudha, R. S. Selvaraj, "MDS and I-Perfect Codes in Pomset Metric"IEEE Transactions on Information Theory,  Vol. 67(3), pp. 1622 - 1629, March 2021, doi: 10.1109/TIT.2020.3037782. [https://ieeexplore.ieee.org/document/9257460]

[9] Irrinki Gnanasudha, R. S. Selvaraj, "MacWilliams Type Identities for Linear Codes on Certain Pomsets: Chain, direct and ordinal sum of pomsets"Discrete Mathematics,  Vol. 343(4), 2020.

[8] Irrinki Gnanasudha, R. S. Selvaraj, "Codes with a Pomset Metric and Constructions"Designs, Codes and Cryptography,  Vol. 86(4), pp. 875-892, 2018.

[7] Venkatrajam Marka, R. S. Selvaraj, Irrinki Gnanasudha, "Self-dual Codes in the Rosenbloom-Tsfasman Metric"Mathematical Communications, 21(2017), pp. 75 - 87, 2017.

[6] Venkatrajam Marka, R. S. Selvaraj, "Decomposable  Codes in Matnxs(Fq) with Rosenbloom-Tsfasman Metric"International Journal of Pure and Applied Mathematics, 113(13), pp. 208 - 216, 2017.

[5] R. S. Selvaraj, Venkatrajam Marka, "On Normal q-ary Codes in Rosenbloom-Tsfasman Metric"ISRN Combinatorics, doi:10.1155/2014/237915, 2014.

[4] R. S. Selvaraj, Jejaw Demamu, "Constructions of Equidistant Codes with Rank Metric"GAMS Journal of Mathematics and Mathematical Biosciences, 3(1), pp. 49 - 56, 2012.

[3] R. S. Selvaraj, Jejaw Demamu, "On Equidistant Rank Metric Codes: Rank and Kernel"International Journal of Modern Mathematics, 5(2), pp. 207 - 214, 2010.

[2] R. S. Selvaraj, Jejaw Demamu, "Equidistant Rank Metric Codes: Construction and Properties"Communications in Information and Systems, 10(3), pp. 183 - 192, 2010.

[1] W. B. Vasantha, R. S. Selvaraj, "Multi-covering Radius for Rank Metric Codes"The Electronic Journal of Combinatorics, 16, #R147, 2009.


Conference Proceedings

[7] R. S. Selvaraj, Venkatrajam Marka, "Linear Codes in Rosenbloom-Tsfasman Metric: (u|u+v)-construction". In Proc. of International Conference on Information and Mathematical Sciences (IMS-2013), BFCET, Punjab, India, October 24 - 26, 2013 and the publication is in the Elsevier Publication.

[6] R. S. Selvaraj, Venkatrajam Marka, "Normality of Binary Codes in Rosenbloom-Tsfasman Metric". In Proc. of International Workshop on Mathematical Modelling and Scientific Computing (MMSC-2013), Mysore, India, August 22 - 25, 2013 and the publication is in the IEEE Xplore Publication (http://ieeexplore.ieee.org)

[5] R. S. Selvaraj, Jejaw Demamu, "Steganographic Protocols Based on Rank Metric Codes"In Proc. of 3rd International Congress on Ultra Modern Telecommunications and Control Systems - ICUMT 2011, Budapest, Hungary, October 5 - 7, 2011. IEEE Xplore Publication (http://ieeexplore.ieee.org)

[4] W. B. Vasantha, R. S. Selvaraj, "Multicovering Radius of Codes for Rank Metric". In Proc. of 4th Asia-Europe Workshop on Information Theory Concepts, Viareggio, Italy, October 6 - 8, 2004, pp. 96 - 98.

[3] W. B. Vasantha, R. S. Selvaraj, "Multi-covering Radii of Codes with Rank Metric"In Proc. of 2002 IEEE Information Theory Workshop, Indian Institute of Science, Bangalore, October 20-25, 2002, page 215. IEEE Xplore Publication (http://ieeexplore.ieee.org)

[2] W. B. Vasantha, R. S. Selvaraj, "Fuzzy RD Codes with Rank Metric and Distance Properties"In Proc. of International Conference on Recent Advances in Mathematical Sciences, Indian Institute of Technology Kharagpur, India, December 20 - 22, 2000, pp. 341 - 348. Narosa Publishing House, New Delhi.

[1] W. B. Vasantha, R. S. Selvaraj, "Divisible MRD Codes"In Proc. of National Conference on Challenges of the 21st century in Mathematics and its Allied Topics, University of Mysore, Karnataka, India, February 3 - 4, 2001, pp. 242 - 246.

PHDs Supervised

Ph.D.'s Supervised [THREE completed; TWO in progress]

  • Guided three Ph.D. Scholars    
    • Dr. Jejaw Demamu of Bahir Dhar University, Ethiopia to his Ph.D. [Thesis Title"Equidistant Rank Metric Codes: Construction, Properties and Applications"]; viva was successfully completed on 04-Sept.-2010
    • Dr. Venkatrajam Marka to his Ph.D. [Thesis Title"Codes in Rosenbloom-Tsfasman Metric: Constructions and Properties"]; viva was successfully completed on 12-Dec.-2014
    • Dr. I. Gnana Sudha to her Ph.D. [Thesis Title"Codes in Pomset Metric: Constructions and Properties"]; viva was successfully completed on 14-June-2021
  • Guiding two Ph.D. Scholars
    • Mr. Atul Kumar Shriwastva since July 2018
    • Mrs. Archana Bhat (as Joint-supervisor)


Post-Doctoral Guidance

  • Guided Dr. Jejaw Demamu (from Ethiopia) for his post-doctoral research under the programme "CV Raman International Fellowship, FICCI, DST, New Delhi" for the period of 6 months from 16-March-2012 to 16-September-2012

 

Student Projects (PG) Supervised

Sl. No.

Title of the Thesis Supervised

Completed (year)

Student Name

35

A Study on the LASSO: A Convex Optimization Approach for High-Dimensional Problems

2021

Manish Kumar

34

A Study on Matrix Exponentials and their use in Solving Differential Equations

2021

Jyotsna Bohara

33

A Study on Computer Graphics and Geometry

2021

Bibhu Paraseth

32

A Study on Rings with Chain Conditions

2020

Akash Mondal

31

A Study on Group Theoretical Methods to Solve Differential Equations: Lie Groups of Transformations

2020

Amit Yadav

30

A Study on Visual Cryptographic Scheme and Its Applications

2020

Rabinarayan Swain

29

A Study on Topological Groups: Local Compactness and Quotient Maps

2019

Padam Singh

28

A Study on Classification of Mobius Transformations and their Multipliers

2019

Sweta

27

Stock Price Prediction using Machine Learning Algorithms

2019

Shivangi Mendiratta

26

A Study on Algebraically Positive Matrices

2018

Nitika Sharma

25

A Study on Classification of some Bilinear Forms

2018

Giraja Shankar Nagar

24

A Study on Efficient Algorithm for finding the Largest Eigenvalue of Tridiagonal Matrices

2018

Aklant Das

23

A Study on QR-Factorization using Householder Transformations and Givens Rotations

2017

Kaudagani Manoj

22

A Study on Lattice Based Cryptography

2017

Megha Arora

21

A Study on Metric Vector Spaces through Bilinear Forms

2017

Raghvedhra Pratap Singh

20

A Study on Partial Metric Spaces

2016

Chowdam Sreelakshmi

19

A Study on Singular Value Decomposition and its Applications

2016

T. Anitha

18

A Study on Matrix Limits and Markov Chains

2016

M. Shravan Kumar

17

A Study on Direct and Semi-direct Product of Groups

2015

Nikita Bhoi

16

A Study on Cyclic Codes over Z4

2014

N Soujanyalaxmi

15

A Study on Construction Methods of Self-Dual Codes and CIS Codes

2014

Sulige. Swathi

14

A Study on Some Algorithms for Solving Special Tridiagonal Block Toeplitz Linear Systems

2013

Narra Lavanya

13

A Study on Certificateless Group Signcryption Scheme with Application to Secure Electronic Cash

2013

R. Sahithi

12

A Study on Solving Fractional Differential Equations Using Jacobi Operational Matrix

2013

K. Vishak

11

A Study on Undeniable Signature Schemes

2012

Ch. Preethi

10

A Study on Digital Signature Scheme Based on ElGamal Cryptosystem

2011

P. Meenakshi

9

A Study on Elliptic Curves Through ElGamal Cryptosystem

2011

Ch. Ramya Krishna

8

A Study on Algorithms to Solve Discrete Logarithm Problem

2010

S. Sujatha

7

Decoder Error Probability of MRD Codes

2009

M. Sravankumar Reddy

6

Constant Rank and Constant Dimension Codes

2009

P. Karunakar

5

LFSR-Based Stream Ciphers

2008

Prabhaker Reddy

4

Rank Distance Codes Correcting Beyond  Rank Errors

2008

R. Priyanka

3

Linear Recurring Sequences over Galois Fields

2008

Vajram Boini

2

Special Cyclic Codes

2007

Anil Kumar

1

Encoding and Decoding of Linear and Cyclic Codes

2007

Sadanandam


 

Workshops/Conferences

Workshop Organized

  • Organized a Five day Workshop on Cryptography & Coding Theory, at NIT Warangal during 28 Jan - 01 Feb 2019
  • Organized a Three day National Workshop on Modern Statistical Techniques & Information Security, at NIT Warangal during 19 - 21, December 2013


Invited Talks

  • Delivered Expert Lectures on "Householder Transformations & Givens Rotations with Applications" in the Five Day CEP on Matrix Computation & Numerical Techniques in Science and Engineering, held at NIT Warangal on 30th October 2018
  • Delivered an Invited Talk on "Codes with a Pomset Metric" in the Symposium in Coding Theory in NCDM-2017 under ADMA-2017, held at SSN College of Engineering, Chennai, on 8th June 2017
  • Delivered series of lectures on "Error-correcting Codes & Cryptography" in the One Day National Level Workshop on Recend Trends on Mathematical Coding Theory and Cryptography, held at University VOC College of Engineering - Anna University Tirunelveli Region, Thoothukudi, on 17th October 2014
  • Delivered a talk on "Error-correcting Codes & Code-based Cryptography" in the National Symposium on Mathematics and Computer Applications, held at Women's Christian College, Chennai, on 15th March 2014
  • Delivered a talk on "Primality Testing & Prime Factorization" in the National Workshop on Modern Statistical Techniques & Information Security, held at NIT Warangal during 19 - 21,
    December 2013
  • Delivered an Invited Talk on "Some Non-empty Intersections of Mathematics and Cryptography" in the National Conference on Emerging Trends in Science and Humanities, held at
    Saveetha Engineering College, Chennai on 5th April 2013
  • Delivered an Invited Talk on "Illustrating Zero-knowledge Proofs through Cryptographic Protocols in Graph Theory" in the National Seminar on Number Theory & Cryptography, held
    at Pondicherry University, Puducherry during 30 - 31, Jan. 2012
  • Was a resourse person and gave lectures on "Sequences and Series" for the \Training Programme for UG Teachers", held at Kakatiya University, Warangal during 15 - 21, July, 2009



Summer / Winter Schools/ Training Programmes attended

 

Title

Venue

Duration

Sponsoring Authority

1

NCM Advanced Instructional School on Cryptology

SETS Chennai

20 days

(16 June - 05 July 2014)

NCM - National Center for Mathematics,

TIFR and IIT Bombay

2

NCM Teachers Enrichment Workshop (TEW) on Finite Group Theory

Punjabi University, Patiala

7 days

(27 May - 02 June 2014)

NCM - TIRF and IIT Bombay

3

NCM Workshop on Rings and Modules

DAV College, Jalandhar

7 days

(15 - 21 April 2014)

NCM - TIFR and IIT Bombay

4

NPTEL Workshop

NIT Warangal

2 days

(31 Aug. - 01 Sept. 2012)

NMEICT - MHRD,

IIT Madras

5

ISTE Workshop on Introduction to Research Methodologies

NIT Warangal

10 days

(25 june - 4 july, 2012)

NMEICT - MHRD,

IIT Bombay

6

National Workshop on Computer Algebra System

Bhaskaracharya Pratishthana, Pune

5 days (27 - 31, Jan. 2011)

MHRD, sakshat

7

Staff Development Programme on Linear Algebra, Wavelets and Applications (LWA)

NIT Warangal

5 days

(29 Nov. - 3 Dec. 2010)

AICTE

8

AAECC-17 Symposium & IWAA Workshop on Coding and Cryptography

IISc Bangalore

5 days

(16 - 20 Dec. 2007)

IISc Mathematics Initiative (IMI)

9

Workshop on Algebra and Coding Theory & Symposium on Coding Theory

IISc Bangalore

19 days

(21 Nov - 9 Dec. 2005)

IISc Mathematics Initiative (IMI)

10

Refresher Course in Cryptology

Cochin University of Science and Technology (CUSAT), Cochin

2 weeks

(2 - 14, May 2005)

Indian Academy of Sciences, Bangalore

11

IEEE Information Theory Workshop 2002

IISc Bangalore

1 week

(20 - 25 Oct 2002)

IEEE

12

R.C. Bose Centenary Workshop on Discrete Mathematics and its Applications

ISI Kolkata

5 days

(15 - 19 Dec 2002)

ISI Kolkata


 

Projects

Projects

Nil

Awards and Honors

 Awards & Honours

  • Qualified CSIR-JRF(NET) TWICE: June 1999 and December 1999
  • Received the "Sundaram Iyer Memorial Medal" for Proficiency during B.Sc. Mathematics I and III years at Loyola College, Chennai
  • Recognized as Host Scientist for the CV Raman International Fellowship for African Researchers  ----  Guided Dr. Jejaw Demamu (from Ethiopia) for his post-doctoral research under this programme for the period of 6 months from 16-March-2012 to 16-Sept.-2012
  • Honoured as an "Outstanding Lay Minister" by Jubilee Outreach Ministries, Chennai, on 9th June 2001

Additional Responsibility

Additional Administrative Responsibilities

  • MSc Admissions, Co-coordinator for CCMN-2019
  • Coordinator, Minority Community Cell since 23-04-2018
  • IT Services Coordination Committee (now WSDC) member (department level coordinator) since 2011 till January 2018
  • Mathematics-II Course Coordinator for I B.Tech. 12 sections during Jan. - May. 2016
  • Mathematics-I Course Coordinator for I B.Tech. 12 sections during July - Dec. 2014
  • Hostel Mess Warden for Mess-II during July 2012 - Jan. 2015
  • Interim Hostel Mess Warden for Mess-I during July 2014 - Jan. 2015
  • Hostel Block Warden (for 7th and 8th Blocks) during July 2007 - July 2008
  • Department Training & Placement In-charge during 2010 - 2011
  • Stock-verification Team member for Library, Physical Education Department during 2008, 2011, 2013, 2014
  • Mathematics-IV Course Coordinator for II B.Tech. 8 branches during Dec. 2008 - May 2009
  • Staff Adviser for Mathematics Association during 2007 - 2008
  • Convocation Dinner Committee member during 2013 - 2014