Welcome to the resource topic for 2016/401
Title:
Tower Number Field Sieve Variant of a Recent Polynomial Selection Method
Authors: Palash Sarkar, Shashank Singh
Abstract:At Asiacrypt 2015, Barbulescu et al. performed a thorough analysis of the tower number field sieve (TNFS) variant of the number field sieve algorithm. More recently, Kim and Barbulescu combined the TNFS variant with several polynomial selection methods including the Generalised Joux-Lercier method and the Conjugation method proposed by Barbulescu et al. at Eurocrypt 2015. Sarkar and Singh (Eurocrypt 2016) proposed a polynomial selection method which subsumes both the GJL and the Conjugation methods. This study was done in the context of the NFS and the multiple NFS (MNFS). The purpose of the present note is to show that the polynomial selection method of Sarkar and Singh subsumes the GJL and the Conjugation methods also in the context of the TNFS and the multiple TNFS variants. This was not clear from the recent work by Kim and Barbulescu. Applying the new polynomial selection method to the TNFS variants results in new asymptotic complexities for certain ranges of primes.
ePrint: https://eprint.iacr.org/2016/401
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .