Several suggestions are presented for developing cryptosystems, both classical and public key, using a combination of combinatorial group theory and linear groups. In particular, t...
We develop an abstract framework that encompasses the key properties of bilinear groups of composite order that are required to construct secure pairing-based cryptosystems, and we...
A generalized group-oriented cryptosystem (GGOC) based on ElGamal cryptosystem was proposed by Yang et al. in 2003. This study shows that if the authorized decryption sets of users...
The public key cryptosystems MST1 and MST2 make use of certain kinds of factorizations of finite groups. We show that generalizing such factorizations to infinite groups allows a ...
Maria Isabel Gonzalez Vasco, Consuelo Martínez, R...
McEliece cryptosystem is a public-key cryptosystem based on error-correcting codes. It constitutes one of the few alternatives to cryptosystems relying on number theory. We present...