Research Interests:

•   Algebraic Coding Theory, DNA Codes.

Publications:

1. (With A Singh & O Prakash) New quantum codes and (θ, δ, β)-cyclic codes. IEEE Access, 2024.

2. (With A Singh & O Prakash) Application of (σ,δ)-cyclic codes in DNA codes over a non-chain ring. International Journal of Biomathematics, 2024.

3. (With S Yadav & O Prakash) Reversible cyclic codes over a class of chain rings and their application to DNA codes. International Journal of Information and Coding Theory, 2022. 

Preprints:

1. (With A Singh & O Prakash) DNA codes from (θ,δ,𝛾)-constacyclic codes over Z4+ωZ4, 2024.

2. (With A Singh & O Prakash) Construction of (σ,δ)-cyclic codes over a non-chain ring and their applications in DNA codes, 2023.

Project:

1.  Skew cyclic codes over the extension of Z4 and their applications in quantum and DNA computing.

    • SERB (DST, Govt. of India) sponsored research project from April 2021- November 2022. 

• Institute: Department of Mathematics, Indian Institute of Technology Patna.

• Supervisor: Prof. Om Prakash.

Talks (Conference/Seminar):

1. 1.  Contributed talk at International Conference on Sustainable Science and Technology for Tomorrow, Oct 2023.

    • Title: Construction of DNA codes from skew cyclic codes. 

    • Organized by Woxsen University Hyderabad.

• Won the best presentation award.

1. 2.  Contributed talk at National Webinar on Mathematical Week, 20-24 December 2021.

• Title: How to prepare for higher studies and research in Mathematics.

     • Organized by Govt. Girls’ P.G. College, Ujjain.

Poster (Workshop/Symposium):

1. 1. Presented a poster at PMRF Annual Symposium 2024, 3-4 March 2024.

• Title: Generalized skew cyclic codes over a non-chain ring and their applications to DNA codes.

• Organized by Indian Institute of Technology Indore.

1. 2.  Presented a poster at  Research Scholars’ Day (RSD-2023), 4-5 March 2023.

• Title: Construction of skew cyclic DNA codes over the ring Fq[u]/⟨u2 − u⟩ with derivation.

• Organized by Indian Institute of Technology Patna.

Awards/Fellowships:

• CIMPA Travel grants to attend CIMPA-NCM 2023 course on Finite Geometry and Coding Theory at Indian Institute of Technology Hyderabad. 

• Prime Minister’s Research Fellowship (PMRF), July 2022.

• DST-SERB Project Fellowship, April 2021.

• Graduate Aptitude Test in Engineering (GATE) in Mathematics, March 2021.

• CSIR-UGC National Eligibility Test (NET) JRF, Nov 2020.

• DST INSPIRE Fellowship, April 2020.

• Gold medal in M.Sc. in Mathematics, 2018.

• Gold medal in B.Sc., 2016.

Skills & Computer Language:

• Algebra, Algebraic Coding Theory, Research & Teaching.

• Magma(Computer algebra system), SageMath, Latex.

Certificates:

1. Participated in Workshop on Algebraic Coding Theory and Computation at Woxsen University, 11-12 Nov 2024.

2. Participated in Workshop on Post Quantum Cryptography-1 (Design and Analysis of Quantum Safe Public key Cryptosystem) at Indian Institute of Technology (ISM) Dhanbad, 13-17 April 2024.

3. Participated in CIMPA-NCM School on Finite Geometry and Coding Theory at Indian Institute of Technology Hyderabad, 20 Nov - 1 Dec 2023. 

4. Participated in Workshop on Algebraic Codes and MAGMA Computation at Indian Institute of Technology Patna, 10-11 Nov 2023.

5. Attended National Instructional Workshop on Cryptology (NIWC): Code-Based Cryptography at Indian Institute of Technology BHU, 05 - 07 July 2023.

6. Attended IEEE SPS Seasonal School on Quantum Computing and Machine Learning at  Indian Institute of Technology Delhi,14 -15 April, 2023.

7. Attended National Workshop on Software in Mathematics and Statistics at National Institute of Technology, Tiruchirappalli, 02 - 06 August 2021.