Dr. Deep Singh

Contact Info
Dr. Deep Singh
Mobile: 8887676794
Dr. Deep Singh

Associate Professor and Head,

Department of Mathematics and Statistics,

Central University of Punjab, VPO-Ghudaa, Bathinda-151401, Punjab, India

Qualification
  • Ph.D. Cryptography (Mathematics), Indian Institute of Technology Roorkee (IIT Roorkee)  (2014).
  • M.Sc. (Mathematics), Hindu College Moradabad, MJPRU, Bareilly, U.P. (2004).
  • B.Sc. (Mathematics, Physics, Chemistry), G.F. (P.G.) College, Shahjahanpur, U.P. (2002) 
Experience
Teaching and Research Experience
Institute Position Experience Period
Department of Mathematics and Statistics, Central University of Punjab, Dist. Bathinda Associate Professor Teaching and Research December 2021 - Present
Department of Mathematics, Central University of Jammu, Dist. Samba Assistant Professor Teaching and Research July 2013 - December 2021
 
Administrative Experience:
  • Head, Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab from Aug. 08, 2022 to Present.
  • Co-ordinator, Department of Mathematics, Central University of Jammu, Dist.-Samba, J&K, India during March 20, 2020 - December 30, 2021.
 
Any Other Experience

 

Research Area
  •  Cryptography
  •  Cryptology
  •  Image Security
  •  Image Processing
  •  Encryption and Decryption Techniques
  •  Cryptographic Boolean functions and Their Generalizations
Research Interests
  • Construction of secure cryptosystems for smooth/secure communication.
  • Design of efficient encryption and decryption algorithms.
  • Analysis of image security for secure transmission through open netwoks.
  • Study of cryptographic Boolean functions and their generalizations.
  • Investigation of q-ary functions (q-ary bent and generalized negabent functions).
  • Analysis of Global Avalanche characteristics (GAC) of cryptographic functions.  
Professional Recognition/Awards/Scholarships
  • Qualified for the CSIR-NET+JRF in June-2009 with All India Rank-32 in Mathematical Sciences, conducted by Council of Scientific and Industrial Research (CSIR), India.
  • Senior Research Fellowship- NBHM- Department of Atomic Energy, India (July 2011- June 2013).
  • Qualified for the NBHM-DAE-Ph.D. fellowship (NBHM-JRF, Department of Atomic Energy) in Mathematics in the year 2009.      
  • Qualified for the GATE -Graduate Aptitude Test in Engineering in Mathematics in the year 2009.

 

Research Collaboration

1. Prof. Veronika Stoffová, Department of Mathematics and Computer Science, Trnava University, Trnava, Slovakia.

2. Dr. Chaman Verma, Department of Media and Educational Informatics, Faculty of Informatics, Eötvös Loránd University, Budapest, Hungary.

3. Prof. Maheshanand, Department of Mathematics, IIT Roorkee, Roorkee, India.

4. Dr. Neerendra Kumar, Department of Computer Science and IT, Central University of Jammu, Jammu, India.

5. Dr. B.K. Singh, Department of Mathematics, Babasaheb Bhimrao Ambedkar University, Lucknow, India.

6. Dr. D. C. Mishra, Department of Mathematics, Bhakt Darshan Govt. PG College, Jaiharikhal, Pauri Garhwal, India.

7. Dr. Amit Paul, Department of Mathematics, Guru Nanak Dev University, Amritsar, India.

 

 

Publications
  1. UH Mir, PN Lone, Deep Singh, DC Mishra: A public and private key image encryption by modified approach of Vigener cipher and the chaotic maps, The Imaging Science Journal (Taylor & Francis) (SCI and Scopus indexed, 2023, I.F.- 0.871).
  2. Deep Singh, A. Paul, N. Kumar, V. Stoffová, C. Verma, Resiliency and Nonlinearity Profiles of Some Cryptographic Functions, Mathematics, 2022, 10, 4473. https://doi.org/10.3390/math10234473.(SCI and Scopus indexed, I.F.- 2.592).
  3. PN Lone, Deep Singh, V. Stoffová, DC Mishra, UH Mir, N. Kumar, Cryptanalysis and Improved Image Encryption Scheme Using Elliptic Curve and Affine Hill Cipher, Mathematics, 2022, 10(20), 3878; https://doi.org/10.3390/math10203878(SCI and Scopus indexed, I.F.- 2.592).
  4. PN Lone, Deep Singh and UH Mir: Image Encryption using DNA coding and Three-Dimensional Chaotic System, Multimedia Tools and Applications (Springer), 2021. Published with DoI: https://doi.org/10.1007/s11042-021-11802-2 (SCI and Scopus indexed, I.F.- 2.757).
  5. PN Lone and Deep Singh, UH Mir: A Novel Image Encryption using Random Matrix Affine Cipher with a Chaotic Map, Journal of Modern Optics (Taylor & Francis), 2021, Published, https://doi.org/10.1080/09500340.2021.1924885 (SCI and Scopus, I.F.- 1.54)
  6. UH Mir, Deep Singh, DC Mishra, Parveiz Nazir Lone: Color Image Encryption using RSA Cryptosystem with a Chaotic Map in Hartley Domain, Information Security Journal: A Global Perspective (Taylor & Francis), 2021. DOI: 10.1080/19393555.2021.1963018 . (ESCI, Scopus indexed) 
  7. UH Mir, Deep Singh, DC Mishra, PN Lone: Multilayer Security of RGB Image in Discrete Hartley Domain, Applications and Applied Mathematics, Vol. 15 (2), pp. 1213-1229, 2020. (ESCI indexed, Prairie View A&M University, USA)
  8. PN Lone and Deep Singh: Application of Algebra and Chaos Theory in Security of Color Images, Optik- International Journal for Light and Electron Optics (Elsevier), Vol. 218 (165155), 2020. (SCI and Scopus, I.F.-2.187).          
  9. Deep Singh and Amit Paul: Some Properties of Cryptographic Functions Employed in   Wireless Communication Systems, International Journal of Recent Technology and Engineering (BEIESP), Volume 8(3), pp. 4154-4157, 2019. Scopus-Indexed.
  10. Deep Singh and Amit Paul: Improved Lower Bounds on Higher Order Nonlinearity, Ganita (Bharat Ganita Parishad), Vol. 67(1), 105-115, 2017.
  11. Deep Singh and Amit Paul: Higher Order Nonlinearity of Some Cryptographic Functions, International Journal of Computational and Applied Mathematics, Volume 12(2), pp. 195-205, 2017.
  12. Deep Singh and Amit Paul: Analysis of Some Ternary Functions in terms of Their Walsh-Hadamard Transform, Global Journal of Pure and Applied Mathematics, Vol. 13, (7), pp. 3497-3503, 2017.
  13. D. Singh, M. Bhaintwal and B. K. Singh: Constructions of q-ary Functions with Good Global Avalanche Characteristics, International Journal of Computer Mathematics (Publisher: Taylor & Francis) Vol. 92(2), pp. 266—276, 2015. (SCIE, Scopus, I.F.-1.6)
  14. D. Singh, M. Bhaintwal and B. K. Singh: entitled "Some Results on q-ary Bent Functions", International Journal of Computer Mathematics (Publisher: Taylor & Francis), Vol. 90(9), pp. 1761—1773, 2013. (SCIE, Scopus, I.F.-1.6)
  15.  D. Singh: Second Order Nonlinearities of Some Classes of Cubic Boolean Functions based on Secondary Constructions, International Journal of Computer Science and Information Technologies, Vol. 2 (2), pp. 786-791, 2011.
  16. Conference Proceedings (Articles in full length)
  17.  D. Singh and A. Paul: On 4th order nonlinearity of a subclass of Kasami functions, In the Proc. of the 2nd International Conference on Science, Technology and Management (ICSTM-2015) on Sept. 27, 2015 at University of Delhi, Delhi, India. Available at  http://data.conferenceworld.in/ICSTM2/P1262-1269.pdf
  18. D. Singh and A. Paul: Cryptographically significant Boolean functions with good 4th order nonlinearity, In the Proc. of the International Conference on Recent Trends in Engineering and Material Science (ICEMS-2016) held during March 17-19, 2016 at Jaipur National University, Jaipur, India.
  19. Ruchi and D. Singh: LC-management and reading skill development, In the Proc. of 4th            International Conference of Asian Libraries organized by IIM Lucknow and Asian Library Association New Delhi during Feb. 26-28, 2020 at IIM Lucknow.
  20. D. Singh and M. Bhaintwal: On the sum-of-squares-modulus indicator of q-ary functions, In Proc. of the International Conference ICACCI-2013 during Aug. 22-25, 2013 at SJCE, Mysore, Karnataka, India. Available at  IEEE Xplore, pp. 599- 603, 2013, DOI :10.1109/ICACCI.2013.6637240
  21. D. Singh and M. Bhaintwal: On Second Order Nonlinearities of two Classes of Cubic Boolean Functions, In Proc. of the International Conference QSHINE-2013, Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, Springer-Verlag Berlin Heidelberg, Vol. 115, pp. 560-567, 2013.
  22. D. Singh: Construction of Highly Nonlinear Plateaued Resilient Functions with Disjoint Spectra, In Proc. of the International Conference ICMMSC-2012, Communications in Computer and Information Science,  Springer-Verlag Berlin Heidelberg, Vol. 283, pp. 522-529, 2012. Communicated Articles
  23. D. Singh and M. Bhaintwal: Additive Autocorrelation of Some Classes of Cubic Semi- bent Boolean Functions, Submitted in Cryptology ePrint Archive, Available online at: http://eprint.iacr.org/curr/127/2012.
  24. . D. Singh and M. Bhaintwal: Some Properties of q-ary Functions based on Spectra Analysis, Submitted in Cryptology ePrint Archive, Available at: http://eprint.iacr.org/curr/283/2012
  25. . D. Singh and M. Bhaintwal: A New Class of Negabent Functions, Submitted to  https://arxiv.org/pdf/2207.11015.pdf   
  26. . D. Singh and A. Paul:  Computation of resiliency and nonlinearity profiles of disjoint spectra functions (Communicated).
  27. D. Singh and M. Bhaintwal: A new class of negabent functions, Available at 
    https://doi.org/10.48550/arXiv.2207.11015
Research Guidance

Research Guidance/Supervision:

Ph. D. Scholars

S.

No.

Name of the Scholar

Title of the Ph.D. Thesis

Degree/

Course

Date of Admission

Status

Placed At

01.

Amit Paul

Some Cryptographic Criteria of Boolean Functions and Their Generalizations

M.Phil.-Ph.D. Integrated course

12-10-2012

Awarded

Assistant Propfessor, GNDU-Guru Nanak Dev University, Amritsar, India

 

02.

Parveiz Nazir Lone

Application of Algebra in Cryptosystems for Two Dimensional Data

Ph.D.

02-07-2018

Awarded

Assistant Professor (C)
Department of Applied sciences,  University of Kashmir, India

03.

Umar Hussain Mir

Multilayer Security of Multi-Dimensional Data in Cryptography

Ph.D.

02-07-2018

Awarded

 
04  Mukesh  Cryptographic Security of  Data using Elliptic Curve Techniques Ph.D. 01-04-2022 Ongoing    
05 Nihal Khaitan

 Image Security using Quantum Cryptography

 Ph.D. 11-04-2022 Ongoing  
06 Sandeep Kumar Homomorphic Encryption for Multi-Dimensional Data in Cryptography Ph.D. 11-04-2022 Ongoing

 

  
07 Harshit Image Security based on Chaotic Transformations Ph.D. 09-05-2023 Ongoing  
08 Harpreet Kaur Multi-Stage Security of RGB Images  Ph.D. 21-08-2023 Ongoing  

 

M.Sc. Project Students

At Central University of Punjab, Bathinda

 
S. No. Name of Students Year Topic Exam(s) Qualified Current affiliation
1. Jivesh Sharma 2020- 2022 Some Results on Fundamental Group using Homotopy Equivalence  GATE-2023  
2. Zareena Banoo  2020-2022 An Exploration of Some Mathematical Functions in Cryptography    
3. Rahul Alaria  2020-2022 Continuity and Uniform Continuity: A Review    
4. Harsh Mishra  2021-2023 A Study of Cryptographic Functions from Z_q^n to Z_{2q} using WHT  GATE-2023, JAM-2021  
5. Pramod Bhogta  2021-2023 Investigation of Functions in Schmidt Generalization using NHT  JAM-2021  
6. Vitsoto Luho  2021-2023
A Study of Cryptographic Functions from Z_q^n to Z_{2q} using WHT
NET-JRF-2022  
7. Anjali  2021-2023
Investigation of Functions in Schmidt Generalization using NHT
   
8. Bibhuti Mohanta  2021-2023 A Study of Negabent Functions from Z_q^n to Z_{2q}    
9. Priya 2022-2024 Watermarking Techniques    
10. Asif Khan 2022-2024 Watermarking Techniques    
11. Aswath R S 2022-2024 Watermarking Techniques    
12. Lal Chandra 2022-2024 Watermarking Techniques    
13. Khushi 2022-2024  A Study of Cryptographic Properties of Boolean Functions    
14. Anirban Mallick 2022-2024 A Study of Cryptographic Properties of Boolean Functions    
15. Vishal Prajapati 2022-2024 A Study of Cryptographic Properties of Boolean Functions    
16 Lalthazuala 2022-2024 A Study of Cryptographic Properties of Boolean Functions    
Conference/ Workshops/Seminars Attended

International Conferences/Workshops/Seminars (Attended)

  1. International Conference on "Evolution in Pure and Applied Mathematics" during Nov. 16-18, 2022 at Department of Mathematics, Akal University, Talwandi Sabo, Punjab, India

  2. 4th International Conference of Asian Libraries organized by IIM Lucknow and Asian Library Association New Delhi during Feb. 26-28, 2020 at IIM Lucknow.

  3. International Conference in Recent Trends in Engineering and Material Science (ICEMS-2016) held during March 17- 19, 2016 at Jaipur National University, Jaipur, India.
  4. 2nd International Conference on Science, Technology and Management (ICSTM-2015) held on Sept. 27, 2015 at University of Delhi, Delhi, India.
  5. International Conference on "Heterogeneous Networking for Quality, Reliability, Security      and Robustness", QSHINE-2013 held on January 11-12, 2013 at Department of Mathematics, Gautam Buddha University, Greater Noida, India.
  6. International Conference on "Mathematical Modelling and Scientific Computation", ICMMSC-2012 held on March 16-18, 2012 at Department of Mathematics, Gandhigram Rural Institute, Gandhigram, Tamilnadu, India.
  7.  International Conference on "Soft Computing for Problem Solving", SocProc-2011 held on December 20-22, 2011 at The Institution of Engineers (India), IIT Roorkee Campus, India.

National Conferences/Workshops/Seminars (Attended)

  1. One day Awareness Programme on Importance of Intellectual Property Rights organized by PHD Chamber, Women Entrepreneurs Committee and University Innovation Club, CUJ  at Central University of Jammu on Jan 24, 2020.
  2. 4th  J&K Women Science Congress with focal theme “Career in Science for Women: Challenges and Opportunities” during Sept. 01- 03, 2016 at Govt. College for Women Gandhi Nagar, Jammu in collaboration with J&K State Science Technology & Innovation Council, Department of Science & Technology.
  3. The 10th Innovation in Science Pursuit for Inspired Research (INSPIRE), Science Internship Camp sponsored by  DST, GOI held during July 22 - 26, 2016 at Shri Mata Vaishno Devi University  (SMVDU), Katra, Jammu, India.
  4. National Conference on Mathematical Techniques in Engineering and Technology (MTET-2016) during March 30- 31, 2016 at Department of Applied Mathematics, BBA University (A Central University), Lucknow, India.
  5. National Conference on Topological Algebra and Analysis during Feb. 18- 19, 2016 at Department of Mathematics, GGM Science College, Jammu in collaboration with NBHM-DAE, Mumbai.
  6. A Conference on “Recent Trends in Mathematics: Topological Algebraic Analysis & Applications” during Nov. 21- 22, 2015 at the Department of Mathematics & Astronomy, University of Lucknow.
  7. National Conference on Recent Advances in Mathematics and Applications (NCRAMA-2014) during Oct. 30- 31,  2014 at Department of Applied Mathematics, BBA University (A Central University), Lucknow, India.
  8. A  three days workshop on “Essential Computing Techniques” during Oct. 08-10, 2014 at Department of Computer Science & IT, Central University of Jammu, Jammu.
  9. National Seminar on “Priorities and Directions in Teacher Education” held on Feb. 10, 2014 organized by Department of Educational Studies, Central University of Jammu, Jammu.
  10. One-day Regional Seminar on “Bahishkrit Bharat : Remembering Babasaheb”  held on April 14, 2015 organized by Department of English, Central University of Jammu, Jammu.
  11. One-day National Seminar: Sparsh National Seminar on “In Gender : Texts and Contexts” held on April 21, 2015 organised by Department of English, Central University of Jammu, Jammu.
  12. National workshop on “Accreditation Awareness & Institutional Ranking” held during Jan. 05- 06, 2015 at Department of Human Resource Management & Organisational Behaviour, Central University of Jammu, Jammu.
  13. A workshop on "Introduction to Matlab and Mathematica" held at the Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee on April 21-22, 2012.
  14. Attended a one week workshop on “Curriculum Development” organised by Department of Education, Central University of Punjab, Bathinda during Feb. 06-10,2023. 

   Workshops/Orientation Courses/Refresher Programme/FDP:

  1. Participated and successfully completed an Orientation Programme-120 held during May 15- June 12, 2015 and obtained grade A at UGC-HRDC, University of Lucknow, Lucknow.
  2. Participated and successfully completed a Refresher Course during Dec. 09, 2016 to Dec. 31, 2016 with grade A organized by University of Lucknow, Lucknow.
  3. Participated and successfully completed a one week FDP on Deep Learning and its Applications conducted by Electronics & ICT Academy, IIT Roorkee at IIT Roorkee, Roorkee held during Aug. 20-24, 2019.
  4. Participated and successfully completed a one week FDP on Internet of Things sponsored by ATAL, AlCTE India, organized by Department of Computer Science &IT, Central University of Jammu held during Oct. 14-18, 2019.
  5. Participated and successfully completed a Seven Days Professional Development Workshop on Design, Develop & Deliver Moocs during Jan. 03-09, 2020 organized by School of Education, Central University of Jammu under the scheme of Pandit Madan Mohan Malviya National Mission on Teachers & Teaching, MHRD, Govt. of India.
  6. Participated and successfully completed a one week FDP on Development of e-content avoiding Plagiarism organized by GCW Parade College, Jammu during June 24-28, 2020.
  7. Participated and successfully completed a 2 weeks online Refresher Course in Mathematics/Operational Research/Statistics and Computer Science (IMD) during Oct. 04-18, 2021 with grade A organized by CPDHE, UGC-HRDC University of Delhi, Delhi.
  8. Attended a one week workshop on “Curriculum Development” organized by Department of Education, Central University of Punjab, Bathinda during Feb. 06-10,2023. 

 

Conference/ Workshops/Seminars Organised
  • Organized a One Week National Workshop on "Artificial Intelligence and Machine Learning (AIML-2022)" during  15-21 November 2022 in collaboration with MathTech Thinking Foundation India (MTTF) and Department of Mathematics of Baba Farid Group of Institutions (BFGI), Bathinda. 

 

  • Organized a seven days Online International Training / Workshop on "Computing Special Functions and Their Applications" during May 24-30, 2023 in collaboration with MNIT Jaipur, SV-NIT Gujrat, Sardar Patel Uni. Gujrat and MathTech Thinking Foundation India (MTTF).

 

  • Organized a seven days Online on "Data Science and Statistical Modeling: Harnessing Python and R Programming," which will be held on 28 June- 04 July 2023  in collaboration with Dr. BR Ambedkar NIT Jaipur,  Baba Farid College, Bathinda, MathTech Thinking Foundation India (MTTF), and Mizan-Tepi University, Ethiopia.
Invited Talks/ Resource Person
1. Delivered an invited lecture on the topic “Number Theory and its Application in Cryptography” in the National Conference on Recent Advances in Mathematics and Applications (NCRAMA-2014) during Oct. 30- 31, 2014 at Department of Applied Mathematics, BBA University (A Central University), Lucknow, India.
2. Delivered an invited lecture on the topic “An Introduction to Algebraic Cryptography” in the Conference on “ Recent Trends in Mathematics: Topological Algebraic Analysis & Applications” during Nov. 21- 22, 2015 at the Department of Mathematics & Astronomy, University of Lucknow, Lucknow, India.
3. Delivered an invited lecture on the topic “Cryptography and Communication” in a National Conference on Topological Algebra and Analysis during Feb. 18- 19, 2016 at Department of Mathematics, GGM Science College, Jammu in collaboration with NBHM-DAE, Mumbai.
4. Delivered an invited lecture on the topic “Applications of Number Theory in Cryptography” in the National Conference on Mathematical Techniques in Engineering and Technology (MTET-2016) during March 30- 31, 2016 at Department of Applied Mathematics, BBA University (A Central University), Lucknow, India.
5. Delivered an invited lecture on the topic “Basics of Number Theory” in the 10th Innovation in Science Pursuit for Inspired Research (INSPIRE), Science Internship Camp sponsored by DST, GOI held during July 22 - 26, 2016 at Shri Mata Vaishno Devi University (SMVDU), Katra, Jammu, India.
6. Delivered an invited lecture on the topic “Number Theory and Modern Cryptography” in the 4th J&K Women Science Congress with Focal Theme “Career in Science for Women: Challenges and Opportunities” during Sept. 01- 03, 2016 at Govt. College for Women Gandhi Nagar, Jammu in collaboration with J&K State Science Technology & Innovation Council, Department of Science & Technology.
7. Acted as a resource person in a Two days international webinar (Online) on Covid-19 and Emotional wellness organized by School of Education, Central University of Jammu under the aegis of Pandit Madan Mohan Malviya National Mission on Teachers and Teaching (PMMMNMTT) during May 15-16, 2020.
8. Chaired a session in “An international Online Workshop on Advanced Topics in Mathematics (IWATM-2020)” organized by Centre for Applied Mathematics, IIIT-Naya Raipur, Chhattisgarh, India held during Oct. 01-05, 2020.
9. Delivered a guest lecture on the topic “Number Theory and its Application in Image Cryptography” at the Faculty Development Program (FDP) on "Cryptography and Blockchain" on Nov. 14, 2022 (during Nov. 14-18, 2022) in online mode at AIT-CSE, Chandigarh University, Gharuan.
10. Acted as Guest of Honour in the valedictory function and Chaired a session in an International Conference on "Evolution in Pure and Applied Mathematics" on Nov. 18, 2022 (held during Nov. 16-18, 2022) at Department of Mathematics, Akal University, Talwandi Sabo, Punjab, India.
11. Delivered an invited lecture on the topic "Importance of Vedic Mathematics" on Pi-Day 2023 (March 14, 2023) at the Department of Mathematics, Guru Nanak College, Killiawali, Muktsar, Punjab.
12. Acted as Guest of Honour in the inaugural ceremony and Delivered plenary talk on the topic "Introduction to MATLAB software" in the International Workshop on Mathematical Computations using Software (IWMCS-2023) organized by Department of Mathematics, Akal University, Talwandi Sabo, Bathinda, Punjab, India on April 26, 2023 (held during April 26-28, 2023).
13. Delivered an invited lecture in the FDP on “Statistical and Computational Methods for Decision Making” on the topic "Basics of Matlab and Statistical Analysis of Images" during July 17-22, 2023 at the Department of Mathematics, at Jaypee Institute of Information Technology, Noida.