Specialization

Mathematical

Email

shikha.yadav@thapar.edu

Biography

Dr. Shikha Yadav is working as an Assistant Professor in the School of Mathematics (SOM), Thapar Institute of Engineering & Technology (TIET), Patiala, Punjab, India. She received her Bachelor’s degree in Mathematics (B.Sc.) from Lady Shri Ram College for Women (LSR), University of Delhi, and her Master’s degree in Mathematics (M.Sc.) from Miranda House, University of Delhi. She received her Doctor of Philosophy (Ph.D.) in Mathematics from the Indian Institute of Technology (IIT) Patna. She has been actively involved in teaching undergraduate and postgraduate mathematics courses. Her research interests include Coding Theory, Cryptography, Algebra, specifically linear codes, LCD codes, and self-dual codes over finite fields and finite rings.

Experience: Total Teaching Experience: More than 3 years

Teaching Interests:

• Discrete Mathematics
• Graph Theory
• Apllied Linear Algebra
• Probability and Statistics
• Differential Equations, Laplace Equations, Fourier Series, Linear Algebra
• AI for Everyone

Research Interest :

• Coding Theory
• Cryptography
• Algebra
• LCD codes, self-dual codes, and codes over finite fields and finite rings

Publications:

SCI Journals

1. Indibar Debnath, Habibul Islam, Shikha Yadav and Om Prakash, Study of small Galois hull dimensions of constacyclic codes, Adv. Math. Commun. 22, 1-18 (2026).
2. Shikha Yadav, Indibar Debnath and Om Prakash, Some Constructions of l-Galois LCD codes, Adv. Math. Commun. 19(1), 227-244 (2025).
3. Shikha Yadav, Ashutosh Singh, Habibul Islam and Om Prakash, Her- mitian hull of constacyclic codes over a class of non-chain rings and new quantum codes, Comput. Appl. Math. 43 (2024), Article no. 269.
4. Shikha Yadav, Ashutosh Singh and Om Prakash, Complementary dual skew polycyclic codes and their applications to EAQECCs, Eur. Phys. J. Plus 138 (2023), Article no. 637.
5. Om Prakash, Shikha Yadav, Habibul Islam and Patrick Sol´e, On Z4Z4[u3]-additive constacyclic codes, Adv. Math. Commun. 17(1) (2023), 246–261.
6. Om Prakash, Shikha Yadav, Habibul Islam and Patrick Sol´e, Self-dual and LCD double circulant codes over a class of non-local rings, Comput. Appl. Math. 41(6) (2022), Article no. 245.
7. Om Prakash, Shikha Patel and Shikha Yadav, Reversible cyclic codes over some finite rings and their application to DNA codes, Comput. Appl. Math. 40(7) (2021), Article no. 242.
8. Shikha Yadav, Habibul Islam, Om Prakash and Patrick Sol´e, Self-dual and LCD double circulant and double negacirculant codes over Fq +uFq + vFq, J. Appl. Math. Comput. 67(1-2) (2021), 689-705.
9. Om Prakash, Shikha Yadav and Ram Krishna Verma, Constacyclic and Linear Complementary Dual codes over Fq + uFq, Defence Sci. J. 70(6) (2020), 626-632.

NON-SCI Journals

1. Anup Kushwaha, Shikha Yadav and Om Prakash, Quasi-self-dual, Right LCD and ACD codes over a noncommutative non-unital ring, J. Algebra Comb. Discrete Struct. Appl. 11(3) (2024), 207-225.
2. Shikha Yadav and Om Prakash, A new construction of Quadratic Dou- ble Circulant LCD codes, J. Algebra Comb. Discrete Struct. Appl. 10(3) (2023), 119-129.
3. Om Prakash, Shikha Yadav, Priyanka Sharma, Reversible cyclic codes over a class of chain rings and their application to DNA codes, Int. J. Inf. Coding Theory 6(1) (2022), 52-70.

Conference Publications

1. Shikha Yadav, Ashutosh Singh and Om Prakash, Complementary dual and quantum codes from skew constacyclic codes, The 5th International Conference on Electrical, Computer and Energy Technologies (ICECET- 2025), 1355-1360.
2. Shikha Yadav and Om Prakash, Enumeration of LCD and Self-dual Double Circulant Codes Over Fq[v]/ < v2 − 1 >, Proceedings of Seventh International Congress on Information and Communication Technology, Lecture Notes in Networks and Systems 447 (2023), 241-249.

Conferences/Workshops:

1. Presented paper in “Algebraic Coding Theory Summer School” held during 4-8 July, 2022 at University of Zurich, Switzerland.
2. Presented paper (online mode) in “7th International Congress on Information and Communication Technology (ICICT 2022)” held at London, UK during 21-24 February, 2022.
3. Presented paper in “26th International Conference on Applications of Computer Algebra” held at University of Valladolid, Spain (online mode), during 23-27 July, 2021.
4. Participated in online workshop on “Advanced Topics in Mathematics-2020” organized by Centre for Applied Mathematics, Dr. SPM International Institute of Information Technology Naya Raipur, during October 1-5, 2020.
5. Participated in online workshop on “Algebraic Number Theory” organized by Department of Mathematics, Assam University, Silchar, during August 31-September 5, 2020.

Awards and Recognition

• CSIR-NET JRF qualified with All India Rank 98 (December 2017, June 2018)
• GATE February 2018 qualified with All India Rank 101
• CSIR-NET June 2017 qualified (Lecturership) with All India Rank 67