Publications
Research Papers:
On the alpha value of polynomials in the tower number field sieve algorithm, Aurore Guillevic and Shashank Singh, Mathematical Cryptology, 1(1), 2021.
New discrete logarithm computation for the medium prime case using the function field sieve, Madhurima Mukhopadhyay, Palash Sarkar, Shashank Singh, Emmanuel Thomé, Advances in Mathematics of Communications, http://dx.doi.org/10.3934/amc.2020119, 2020.
A unified polynomial selection method for the (tower) number field sieve algorithm , Palash Sarkar and Shashank Singh, Advances in Mathematics of Communications Volume:13 : 435-455 (2019)
Cryptanalysis of 2 Round Keccak-384, Rajendra Kumar, Nikhil Mittal, Shashank Singh, Progress in Cryptology – INDOCRYPT 2018 [eprint].
Challenges with Assessing the Impact of NFS Advances on the Security of Pairing-based Cryptography, Alfred Menezes, Palash Sarkar, Shashank Singh, Proceedings of Mycrypt, 2016 [eprint].
A Generalisation of the Conjugation Method for Polynomial Selection for the Extended Tower Number Field Sieve Algorithm, Palash Sarkar, Shashank Singh, Cryptology ePrint Archive: Report 2016/537.
A general polynomial selection method and new asymptotic complexities for the tower number field sieve algorithm, Palash Sarkar, Shashank Singh, Advances in Cryptology – ASIACRYPT 2016 [eprint].
Tower Number Field Sieve Variant of a Recent Polynomial Selection Method, Palash Sarkar, Shashank Singh, Cryptology ePrint Archive: Report 2016/401.
On Irreducible Polynomials of the Form $b(x^d)$, Palash Sarkar, Shashank Singh, arXiv:1604.08303 [math.NT],
New Complexity Trade-Offs for the (Multiple) Number Field Sieve Algorithm in Non-Prime Fields, Palash Sarkar, Shashank Singh, Advances in Cryptology – EUROCRYPT 2016 [eprint].
A simple method for obtaining relations among factor basis elements for special hyperelliptic curves, Palash Sarkar, Shashank Singh, Applicable Algebra in Engineering, Communication and Computing, 2016 [eprint].
A new method for decomposition in the Jacobian of small genus hyperelliptic curves, Palash Sarkar, Shashank Singh, Designs, Codes and Cryptography, 2016 [eprint].
Fine Tuning the Function Field Sieve Algorithm for the Medium Prime Case, Palash Sarkar, Shashank Singh, IEEE Transactions on Information Theory, 2016 [eprint].