The Cracking of WalnutDSA: A Survey

作者: José Ignacio Escribano Pablos , María Isabel González Vasco , Misael Enrique Marriaga , Ángel Luis Pérez del Pozo

DOI: 10.3390/SYM11091072

关键词:

摘要: This paper reports on the Walnut Digital Signature Algorithm (WalnutDSA), which is an asymmetric signature scheme recently presented for standardization at NIST call post-quantum cryptographic constructions. WalnutDSA a group theoretical construction, security of relies hardness certain problems related to action braid finite set. In spite originally resisting typical attacks succeeding against this kind soon different loopholes were identified rendering proposal insecure (and finally, resulting in it being excluded from Round 2 competition). Some these are well-structured and symmetric masking secret elements during signing process. We explain design principles behind survey main attack strategies that have succeeded, contradicting its claimed properties, as well recently-proposed ideas aimed overcoming issues.

参考文章(18)
Jeff Hoffstein, Nick Howgrave-Graham, Jill Pipher, William Whyte, Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign The LLL Algorithm. pp. 349- 390 ,(2009) , 10.1007/978-3-642-02295-1_11
Ki Hyoung Ko, Sang Jin Lee, Jung Hee Cheon, Jae Woo Han, Ju-sung Kang, Choonsik Park, New Public-Key Cryptosystem Using Braid Groups international cryptology conference. pp. 166- 183 ,(2000) , 10.1007/3-540-44598-6_10
Hugh Morton, The multi-variable Alexander polynomial for a closed braid arXiv: Geometric Topology. ,(1999)
Iris Anshel, Michael Anshel, Dorian Goldfeld, An algebraic method for public-key cryptography Mathematical Research Letters. ,vol. 6, pp. 287- 291 ,(1999) , 10.4310/MRL.1999.V6.N3.A3
Joan S. Birman, Volker Gebhardt, Juan González-Meneses, Conjugacy in Garside groups III: Periodic braids Journal of Algebra. ,vol. 316, pp. 746- 776 ,(2007) , 10.1016/J.JALGEBRA.2007.02.002
Paul C. van Oorschot, Michael J. Wiener, Parallel Collision Search with Cryptanalytic Applications Journal of Cryptology. ,vol. 12, pp. 1- 28 ,(1999) , 10.1007/PL00003816
Patrick Dehornoy, A Fast Method for Comparing Braids Advances in Mathematics. ,vol. 125, pp. 200- 235 ,(1997) , 10.1006/AIMA.1997.1605
Joan Birman, Ki Hyoung Ko, Sang Jin Lee, A new approach to the word and conjugacy problems in the braid groups Advances in Mathematics. ,vol. 139, pp. 322- 353 ,(1998) , 10.1006/AIMA.1998.1761
E. Artin, Theory of Braids The Annals of Mathematics. ,vol. 48, pp. 101- ,(1947) , 10.2307/1969218
Paul E. Gunnells, Iris Anshel, Dorian Goldfeld, Derek Atkins, WalnutDSA(TM): A Quantum Resistant Group Theoretic Digital Signature Algorithm. IACR Cryptology ePrint Archive. ,vol. 2017, pp. 58- ,(2017)