Tushar Bag

Publications

Publications

Journal papers and manuscripts under review in algebraic coding theory and quantum error-correcting codes. Also on Google Scholar and ResearchGate.

Preprints & Under Review

  1. [P2]
    Some new non-binary quantum codes from one-generator quasi-cyclic codes
    T. Bag et al.
    arXiv
  2. [P1]
    Quantum Codes from Group Codes
    T. Bag et al.
    arXiv

Journal Papers

  1. [J25]
    Quasi-polycyclic and skew quasi-polycyclic codes over \(\mathbb{F}_q\)
    T. Bag and D. Panario. Finite Fields and Their Applications 101, 102536, 2025.
  2. [J24]
    One-generator quasi-cyclic codes and their dual codes
    K. Abdukhalikov, T. Bag and D. Panario. Discrete Mathematics 346(6), 113369, 2023.
  3. [J23]
    Self-dual and LCD double circulant and double negacirculant codes over a family of finite rings \(\mathbb{F}_q[v_1, v_2, \dots, v_t]\)
    H. Q. Dinh, B. P. Yadav, T. Bag, D. Panario and A. K. Upadhyay. Cryptography and Communications 15(3), 529–551, 2022.
  4. [J22]
    On a class of skew constacyclic codes over mixed alphabets and applications in constructing optimal and quantum codes
    H. Q. Dinh, T. Bag, K. Abdukhalikov, S. Pathak, A. K. Upadhyay, R. Bandi and W. Chinnakum. Cryptography and Communications 15, 171–198, 2023.
  5. [J21]
    Constacyclic codes over \(\mathbb{F}_{q^2}[u]/\langle u^2-w^2\rangle\) and their application in quantum codes construction
    T. Bag, H. Q. Dinh, K. Abdukhalikov, A. K. Upadhyay and W. Yamaka. Journal of Applied Mathematics and Computing 68, 3821–3834, 2022.
  6. [J20]
    Constacyclic codes over mixed alphabets and their applications in constructing new quantum codes
    H. Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay and W. Yamaka. Quantum Information Processing 20(150), 2021.
  7. [J19]
    Constacyclic codes of length \((p^r, p^s)\) over mixed alphabets
    H. Q. Dinh, T. Bag, P. K. Kewat, S. Pathak, A. K. Upadhyay and W. Chinnakum. Journal of Applied Mathematics and Computing 67, 807–832, 2021.
  8. [J18]
    A class of skew cyclic codes and application in quantum codes construction
    H. Q. Dinh, T. Bag, A. K. Upadhyay, R. Bandi and R. Tansuchat. Discrete Mathematics 344(2), 112189, 2021.
  9. [J17]
    On \(\mathbb{F}_2RS\)-cyclic codes and their applications in constructing optimal codes
    H. Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay, R. Bandi and W. Yamaka. Discrete Mathematics 344(5), 2021.
  10. [J16]
    Quantum codes obtained from constacyclic codes over a family of finite rings \(\mathbb{F}_p[u_1, u_2, \cdots, u_s]\)
    H. Q. Dinh, T. Bag, S. Pathak, A. K. Upadhyay and W. Chinnakum. IEEE Access 8, 194082–194091, 2021.
  11. [J15]
    A study of \(\mathbb{F}_qR\)-cyclic codes and their applications in constructing quantum codes
    H. Q. Dinh, S. Pathak, T. Bag, A. K. Upadhyay and W. Chinnakum. IEEE Access 8, 190049–190063, 2021.
  12. [J14]
    Explicit representation and enumeration of repeated-root \((\delta+\alpha u^2)\)-constacyclic codes over \(\mathbb{F}_{2^m}[u]/\langle u^{2\lambda}\rangle\)
    Y. Cao, Y. Cao, H. Q. Dinh, T. Bag and Y. Yamaka. IEEE Access 8(1), 55550–55562, 2020.
  13. [J13]
    On the structure of cyclic codes over the ring \(\mathbb{F}_qRS\) and applications in quantum and LCD codes constructions
    H. Q. Dinh, T. Bag, A. K. Upadhyay, R. Bandi and W. Chinnakum. IEEE Access 8(1), 18902–18914, 2020.
  14. [J12]
    New non-binary quantum codes from cyclic codes over product rings
    T. Bag, H. Q. Dinh, A. K. Upadhyay and W. Yamaka. IEEE Communications Letters 24(3), 486–490, 2020.
  15. [J11]
    Quantum codes from skew constacyclic codes over the ring \(\mathbb{F}_q[u,v]/\langle u^2-1, v^2-1, uv-vu\rangle\)
    T. Bag, H. Q. Dinh, A. K. Upadhyay, R. Bandi and W. Yamaka. Discrete Mathematics 343, 2020.
  16. [J10]
    Quantum codes from a class of constacyclic codes over finite commutative rings
    H. Q. Dinh, T. Bag, A. K. Upadhyay, M. Ashraf, G. Mohammad and W. Chinnakum. Journal of Algebra and Its Applications 19(12), 2150003, 2019.
  17. [J9]
    Quantum codes from \((1-2u_1-2u_2-\cdots-2u_m)\)-skew constacyclic codes over the ring \(\mathbb{F}_q+u_1\mathbb{F}_q+\dots+u_{2m}\mathbb{F}_q\)
    T. Bag, M. Ashraf, G. Mohammad and A. K. Upadhyay. Quantum Information Processing 18(9), 270, 2019.
  18. [J8]
    Application of constacyclic codes over the semi local ring \(\mathbb{F}_{p^m}+v\mathbb{F}_{p^m}\)
    T. Bag, A. Dertli, Y. Cengellenmis and A. K. Upadhyay. Indian Journal of Pure and Applied Mathematics 51(1), 265–275, 2020.
  19. [J7]
    Study on negacyclic codes over the ring \(\mathbb{Z}_p[u]/\langle u^{k+1}-u\rangle\)
    T. Bag and A. K. Upadhyay. Journal of Applied Mathematics and Computing 59(1–2), 693–700, 2019.
  20. [J6]
    A class of constacyclic codes over \(\mathbb{Z}_4[u]/\langle u^k\rangle\)
    H. Islam, T. Bag and O. Prakash. Journal of Applied Mathematics and Computing 60(1–2), 237–251, 2019.
  21. [J5]
    A note on constacyclic and skew constacyclic codes over the ring \(\mathbb{Z}_p[u,v]/\langle u^2-u, v^2-v, uv-vu\rangle\)
    T. Bag, H. Islam, O. Prakash and A. K. Upadhyay. Journal of Algebra Combinatorics Discrete Structures and Applications 6(3), 163–172, 2019.
  22. [J4]
    Classes of constacyclic codes of length \(p^s\) over the ring \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+v\mathbb{F}_{p^m}+uv\mathbb{F}_{p^m}\)
    T. Bag, S. Pathak and A. K. Upadhyay. Beiträge zur Algebra und Geometrie 60(4), 693–707, 2019.
  23. [J3]
    A study of constacyclic codes over the ring \(\mathbb{Z}_4[u]/\langle u^2-3\rangle\)
    T. Bag, H. Islam, O. Prakash and A. K. Upadhyay. Discrete Mathematics, Algorithms and Applications 10(4), 1850056, 2018.
  24. [J2]
    Skew cyclic and skew constacyclic codes over the ring \(\mathbb{F}_p+u_1\mathbb{F}_p+\dots+u_{2m}\mathbb{F}_p\)
    T. Bag and A. K. Upadhyay. Asian-European Journal of Mathematics 12(5), 1950083, 2019.
  25. [J1]
    Quantum codes from cyclic codes over the ring \(\mathbb{F}_p[u]/\langle u^3-u\rangle\)
    T. Bag, A. K. Upadhyay, M. Ashraf and G. Mohammad. Asian-European Journal of Mathematics 13(1), 2050008, 2020.