Research 

My main research goal is to study the algebraic properties of linear codes over finite fields and finite commutative rings. I am also interested in understanding how the intersection of two algebraic geometry codes works, especially in the context of constructing error-correcting quantum codes.

List of Publications:

Journal Paper  

1. Sanjit Bhowmick, Deka, K., & Mesnager, S. (2026). On ℓ-rank additive intersection pairs (RAIP) of codes. Accepted in Designs, Codes and Cryptography.

2. Sanjit Bhowmick, & Deka, K. (2026). Hermitian LCD 2-quasi abelian codes over finite chain rings. Accepted in Journal of Algebra and Its Applications.

3. Sanjit Bhowmick, Dalai, D. K., & Mesnager, S. (2026). On Construction of Linear (Euclidean) Hull Codes over Finite Extensions Binary Fields.  Designs, Codes and Cryptography, 94(10), 1-19.

4. Sanjit Bhowmick, Deka, K., Tabue, A. F., & Martínez-Moro, E. (2026). Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings. Finite Fields and their Applications, 110, 102732.

5. Sanjit Bhowmick, Deka, K., & Mesnager, S. (2025). On ℓ-dimensional linear intersection pairs of algebraic geometry codes. Accepted in Cryptography and Communication.

6. Sanjit Bhowmick, & Dalai, D. K. (2025). "Additive Complementary Pairs of Codes".  Advances in Mathematics of Communications, 19(6),  1694-1712. 

7. Sanjit Bhowmick,  & Liu, X. (2025). "Asymptotically good LCD 2-quasi-abelian codes over finite chain rings." Applicable Algebra in Engineering, Communication and Computing, 1-14.

8. Sanjit Bhowmick, Bagchi, S., & Bandi, R. (2025). "On LCD codes over Z_4." Indian Journal of Pure and Applied Mathematics, 1200-1210. 1

9. Sanjit Bhowmick, Tabue, A. F., & Pal, J. (2024). On the ℓ-DLIPs of codes over finite commutative rings. Discrete Mathematics, 347(4), 113853.

10. Sanjit Bhowmick, & Liu, X. (2024). Linear complementary pairs of codes over a finite non-commutative Frobenius ring. Journal of Applied Mathematics and Computing, 70(5), 4923-4936.

11. Sanjit Bhowmick, Dalai, D. K., & Mesnager, S. (2024). On Linear Complementary Pairs of Algebraic Geometry Codes over Finite Fields. Discrete Mathematics, 347(12), 114193.

12. Sanjit Bhowmick, Bagchi, S., & Bandi, R. (2023). "LCD Matrix product codes with an application"  Discrete Mathematics, Algorithms and Applications,15(4), 2250104. 

13. Sanjit Bhowmick, Tabue, A. F., Martinez-Moro, E., Bandi, R., & Bagchi, S. (2020). "Do non-free LCD codes over finite commutative Frobenius rings exist?" Designs, Codes and Cryptography, 88(5), 825-840.

14. Pal, J., Sanjit Bhowmick, & Bagchi, S. (2019). Cyclic codes over M4(F2). Journal of Applied Mathematics and Computing, 60(1), 749-756, 2019. 

Book Chapter

1. Sanjit Bhowmick, Bagchi, S., & Bandi, R. (2020). Linear Complementary Dual codes over Z2Z4. Security and Privacy: Select Proceedings of ICSP 2020, 744, 119-129.

Conference proceeding

1.  Mukhopadhyay, D., Sanjit Bhowmick, Hansda, K., & Bagchi. S.(2023). Optimal Constructions of LRCs based on Cayley Table. IEEE Xpolore of 14th ICCCNT 2023.

Preprint

1. Sanjit Bhowmick, Das, D., & Jena, D. D. (2026). Geometric Constructions of [q+5,3]-NMDS Codes from PG(2, q), q odd. (Submitted) 

2. Sanjit Bhowmick (2026). LCPs of Subspace Codes. (Submitted)