%0 Journal Article %T Cryptanalysis of a Proposal Based on the Discrete Logarithm Problem Inside Sn %A Angela Robinson %A Mar¨ªa Isabel Gonz¨¢lez Vasco %A Rainer Steinwandt %J - %D 2018 %R https://doi.org/10.3390/cryptography2030016 %X Abstract In 2008, Doliskani et al. proposed an ElGamal-style encryption scheme using the symmetric group S n as mathematical platform. In 2012, an improvement of the cryptosystem¡¯s memory requirements was suggested by Othman. The proposal by Doliskani et al. in particular requires the discrete logarithm problem in S n , using its natural representation, to be hard. Making use of the Chinese Remainder Theorem, we describe an efficient method to solve this discrete logarithm problem, yielding a polynomial time secret key recovery attack against Doliskani et al.¡¯s proposal. View Full-Tex %K cryptanalysis %K symmetric group %K public key encryption %U https://www.mdpi.com/2410-387X/2/3/16