Abstract:
Asymmetric cryptography based on groups is mainly concerned with the role of
noncommutative groups. The origin of group based cryptography goes back in the
1980s. Since then, numerous cryptographic proposals based on noncommutative
groups have been evolved. In this thesis, we consider several noncommutative
settings in di erent cryptographic context. This study adds to the cryptographic
literature by demonstrating new asymmetric cryptographic schemes. On the one
hand, two new public key exchange protocols and two asymmetric cryptosystems
are constructed. On the other hand, di erent primitives like suggestion of plat-
form, size of di erent parameters, security and e ciency aspects regarding these
proposals, are also elaborated.
