Research Interests :

  1. Algebra ( Theory of Rings and Modules)
  2. Algebraic Coding Theory
  3. Cryptography
  4. Code based cryptography

Dr. Abhay Kumar Singh

Assistant Professor

I am currently working as an Assistant Professor ( Pay Scale: Level 13 A) in the Department of Applied Mathematics at IIT(ISM) Dhanbad, India. I have done my PhD in Algebra from IIT(BHU) Varanasi India, in 2007 and the MSc. degree in Mathematics from Institute of Science, Banaras Hindu University Varanasi India, in 2002.

E-mail: itbhu81@gmail.com | abhay@iitism.ac.in
Phone(O): +91-3262235670

Recent Publications :

  1. Hai Q Dinh, Bac Trong Nguyen, Abhay Kumar Singh, and Songsak Sriboonchitta. Hamming and symbol pair distances of repeated root constacyclic codes of prime power lengths over Fpm + uFpm.  IEEE Communication Letters, 2018. DOI : 10.1109/LCOMM.2018.2868637 (SCI, SCIE)

  2. Hai Q Dinh, Bac Trong Nguyen, Abhay Kumar Singh, and Songsak Sriboonchitta. On the symbol-pair distance of repeated-root constacyclic codes of prime power lengths. IEEE Transactions on Information Theory, 64(4):2417–2430, 2018 (SCI,SCIE).

  3. Hai Q Dinh, Abhay Kumar Singh, Narendra Kumar, and Songsak Sriboonchitta. On constacyclic codes over Z4[v]/< v2−v > and their Gray images. IEEE Communications Letters , 2018. DOI: 10.1109/LCOMM.2018.2848942 (SCI,SCIE).

  4. Hai Q Dinh, Abhay Kumar Singh, S. Pattanayak, and Songsak Sriboonchitta. Construction of cyclic DNA codes over the ring Z4[u]/< u2-1 > based on the deletion distance. Theoretical Computer Science(Elsevier), 2018 , DOI: 10.1016/j.tcs.2018.06.002 (SCI,SCIE).

  5. Hai Q Dinh, Abhay Kumar Singh , Pratyush Kumar, and Songsak Sriboonchitta. On the structure of cyclic codes over the ring Z2s[u]/< u k > Discrete Mathematics(Elsevier) , 341(8):2243–2275, 2018 (SCI,SCIE).

  6. Hai Q Dinh, Abhay Kumar Singh, Sukhamoy Pattanayak, and Songsak Sriboonchitta. Cyclic DNA codes over the ring F2 + uF2 + vF2 + uvF2 + v2F2 + uv2F2 Designs, Codes and Cryptography(Springer) , 86(7):1451–1467, 2018 (SCI,SCIE).