Dr. Arun Kumar Yadav

Dr. Arun Kumar Yadav is an academician and researcher in Mathematics, currently serving as an Assistant Professor at the School of Basic and Applied Sciences, K.R. Mangalam University, Gurugram, Haryana, India. He has good experience in teaching, research, and academic coordination, with specialization in Algebraic Coding Theory, and Quantum Error Correction Codes. His research focuses on cyclic, constacyclic codes, skew cyclic codes, and codes over finite rings, along with their applications to quantum error correction. His work lies at the interface of abstract algebra and quantum theory, particularly in the construction of quantum codes using algebraic structures such as dual-containing codes and Gray maps. He has co-authored research papers in these areas and continues to develop new algebraic techniques for reliable quantum communication.

• Ph.D. (Mathematics), from Indira Gandhi University, Meerpur, India-123401
• M.Sc. Mathematics, from Indira Gandhi University, Meerpur, India-123401
• B.Sc. from Maharshi Dayanand University, Rohtak, India-124001

• Assistant Professor (Joined on 25th August 2025), School of Basic & Applied Sciences, K. R. Mangalam University, Gurugram, Haryana-122103, India.
• Assistant Professor, (16th July, 2018 to 31th December, 2019), Ahir College, Rewari, Affiliated to Maharshi Dayanand University, Rohtak-124001, Haryana 

Total Publications: 08

Qualified National Eligibility Test of India for Junior Research Fellowship (J.R.F.) and Lectureship (L.S.) / Assistant Professor (CSIR-NET JRF, 2018).

• Presented a paper entitled “Generalized k-step Jacobsthal Number Coding and Decoding Methods” at the Online International Conference organized by Applied Sciences, Faculty of Engineering and Technology, Manav Rachna International Institute of Research and Studies (Deemed to be University) Faridabad, Haryana, India duration December 9-11, 2022.
• Presented a paper entitled “Generalization of Gaussian Jacobsthal and Gaussian Jacobsthal Lucas Polynomials” in ICSSR and HSCSIT Sponsored International Conference organized by CBLU, Bhiwani on December 17-18, 2021.
• Participated in One Week Workshop on Computational Mathematical Software R, Maxima, and MATLAB organized by the Department of Mathematics Indira Gandhi University, Meerpur sponsored by Haryana State Council for Science Innovation and Technology, Govt. of Haryana, from Dec 20-24, 2022.
• Participated in Two-Week Refresher Course on “Refresher Course in Applicable Mathematics” organized by Ramanujan College University of Delhi sponsored by Ministry of Education Pandit Madan Mohan Malaviya National Mission of Teachers and Teaching in collaboration with SJCE, JSS S&TU duration July 26- August 08, 2022.
• Participated in One Week Colloquium on Computational Mathematical Software (Mathematica, Maxima & R) organized by Department of Mathematics ARSD college, University of Delhi during February 22-28, 2022.
• Participated in Two-Week Skill Based Short Term Course on “MATLAB Programming” organized by Department of Information and Communication Technology, Chaudhary Bansi Lal University, Bhiwani duration November 15-27, 2021.
• Participated in one week National Level Faculty development program on LaTex in association with Spoken Tutorial Project, IIT Bombay organized by Department of Humanities & Sciences CMR Engineering College, Hyderabad, during June 01-05, 2020.
• Participated in One Week Colloquium on Research Methodology organized by Indira Gandhi University, Meerpur, May 18-23, 2020.
• Participated in Online Faculty development program on LaTex organized by the Department of Civil Engineering, RMD Sinhgad School of Engineering, Warje in association with Spoken Tutorial Project, IIT Bombay, from April 28-May 02, 2020.
• Participated in the National Seminar on Research Writing and Ethico-legal Issues in Education at RBS College, Rewari, on February 29, 2020.

List of Publications:

1. Arun Kumar Yadav, Manju Pruthi & Vipin Kumar, Quantum Synchronizable

Codes from Quaternary Cyclotomy over Z_2n. International Journal of Theoretical

Physics 62, 112 (2023). https://doi.org/10.1007/s10773-023-05390-0 (WOS, S.C.I. indexed, I.F.1.7).

2. Pooja Soni, Manju Pruthi, Arun Kumar Yadav, New quantum codes derived from the direct product of rings, using cyclic codes over the ring, Reports on Mathematical Physics, 93 (2), 2024. https://doi.org/10.1016/S0034-4877(24)00027-2 (ESCI,WOS, S.C.I. indexed, I.F. 1.0).

3. Pooja Soni, Manju Pruthi, Arun Kumar Yadav, [Equation] Constacyclic codes over a Frobenius ring and their application to novel quantum codes, Journal of Discrete Mathematical Sciences and Cryptography,29(1), 2025. http://doi.org/10.47974/JDMSC-2415 (ESCI, WOS, & Scopus indexed, Clarivate I.F 1.2).

4. Arun Kumar Yadav, Manju Pruthi, Improved and Novel Quantum Codes through CSS Construction from Cyclic Codes over Commutative Non -Local Ring F_p × (F_p +αF_p + α^2F_p), Journal of Discrete Mathematical Sciences and Cryptography,27(6), 2024.http://dx.doi.org/10.47974/JDMSC-2001 (ESCI, WOS, & Scopus indexed, Clarivate I.F 1.2).

5. Arun Kumar Yadav, Manju Pruthi, Generalized k–step Jacobsthal numbers coding and decoding method, Journal of Discrete Mathematical Sciences and Cryptography,26(6), 2023. http://dx.doi.org/10.47974/JDMSC-1726 (WOS, & Scopus indexed, Clarivate I.F 1.2).

6. Arun Kumar Yadav, Manju Pruthi, P(x) – Gaussian Jacobsthal and P(x) – Gaussian Jacobsthal Lucas polynomials, International journal Mechanical Engineering, 7(4) 2022. (Scopus Indexed).

7. Arun Kumar Yadav, Generalized Gaussian Jacobsthal and Generalized Gaussian Jacobsthal Lucas Polynomial, International Journal of Engineering and advanced Technology(IJEAT), 8 (6S3), 2019. (Scopus Indexed).

8. Manju Pruthi, Arun Kumar Yadav Pooja Soni, Quantum Synchronizable Codes through Generalized Cyclotomy of order [Equation] over [Equation], Journal of Interdisciplinary Mathematics (Accepted)

Computer: Word, Excel, Latex, Python, Magma

OBS Studio (Video recording and live streaming software)