Welcome to the resource topic for 2007/009
New Public Key Cryptosystems Using Polynomials over Non-commutative Rings
Authors: Zhenfu Cao, Xiaolei Dong, Licheng WangAbstract:
In this paper, we propose a new method for designing public key cryptosystems based on general non-commutative rings. The key idea of our proposal is that for a given non-commutative ring, we can define polynomials and take them as the underlying work structure. By doing so, it is easy to implement Diffie-Helman-like key exchange protocol. And consequently, ElGamal-like cryptosystems can be derived immediately. Moreover, we show how to extend our method to non-commutative groups (or semi-groups).
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