Research Publications

Research Publications

  1. Mukhopadhyay, M., Sarkar, P., Singh, S., & Thomé, E. (2022). New discrete logarithm computation for the medium prime case using the function field sieve. Adv. Math. Commun., 16(3), 449–464. https://doi.org/10.3934/AMC.2020119
  2. Guillevic, A., & Singh, S. (2021). On the alpha value of polynomials in the Tower Number Field Sieve Algorithm. 1, 1–39. https://journals.flvc.org/mathcryptology/article/view/125142
  3. Kumar, R., Mittal, N., & Singh, S. (2018). Cryptanalysis of 2 Round Keccak-384. In D. Chakraborty & T. Iwata (Eds.), Progress in Cryptology - INDOCRYPT 2018 - 19th International Conference on Cryptology in India, New Delhi, India, December 9-12, 2018, Proceedings (Vol. 11356, pp. 120–133). Springer. https://doi.org/10.1007/978-3-030-05378-9_7
  4. Sarkar, P., & Singh, S. (2017). A simple method for obtaining relations among factor basis elements for special hyperelliptic curves. Appl. Algebra Eng. Commun. Comput., 28(2), 109–130. https://doi.org/10.1007/S00200-016-0299-2
  5. Sarkar, P., & Singh, S. (2017). A new method for decomposition in the Jacobian of small genus hyperelliptic curves. Des. Codes Cryptogr., 82(3), 601–616. https://doi.org/10.1007/S10623-016-0184-9
  6. Sarkar, P., & Singh, S. (2016). Fine Tuning the Function Field Sieve Algorithm for the Medium Prime Case. IEEE Trans. Inf. Theory, 62(4), 2233–2253. https://doi.org/10.1109/TIT.2016.2528996
  7. Sarkar, P., & Singh, S. (2016). New Complexity Trade-Offs for the (Multiple) Number Field Sieve Algorithm in Non-Prime Fields. In M. Fischlin & J.-S. Coron (Eds.), Advances in Cryptology - EUROCRYPT 2016 - 35th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Vienna, Austria, May 8-12, 2016, Proceedings, Part I (Vol. 9665, pp. 429–458). Springer. https://doi.org/10.1007/978-3-662-49890-3_17
  8. Sarkar, P., & Singh, S. (2016). A General Polynomial Selection Method and New Asymptotic Complexities for the Tower Number Field Sieve Algorithm. In J. H. Cheon & T. Takagi (Eds.), Advances in Cryptology - ASIACRYPT 2016 - 22nd International Conference on the Theory and Application of Cryptology and Information Security, Hanoi, Vietnam, December 4-8, 2016, Proceedings, Part I (Vol. 10031, pp. 37–62). https://doi.org/10.1007/978-3-662-53887-6_2
  9. Menezes, A., Sarkar, P., & Singh, S. (2016). Challenges with Assessing the Impact of NFS Advances on the Security of Pairing-Based Cryptography. In R. C.-W. Phan & M. Yung (Eds.), Paradigms in Cryptology - Mycrypt 2016. Malicious and Exploratory Cryptology - Second International Conference, Mycrypt 2016, Kuala Lumpur, Malaysia, December 1-2, 2016, Revised Selected Papers (Vol. 10311, pp. 83–108). Springer. https://doi.org/10.1007/978-3-319-61273-7_5