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신인철,이민섭,박창섭,김범식,우찬일,최춘수 단국대학교 1998 論文集 Vol.33 No.-
Recently, the information exchange through a communication network has been increased rapidly. When the sensitive information being sent or stored, the cryptographic technique can be employed in order to prevent it from being exposed or modified by the illegal third party. To implement public key encryption systems based on the integer factorization and the discrete logaritm problem, an efficient exponential arithmetic is mandatory due to large numbers involved. In this paper, the general analysis about the highspeed implementation of primality testing and exponentiations are investigated as well as implementing RSA publickey system. The publickey cryptosystem can be applied to any applications which need both the privacy and the authentication. Finally, suing the software package named MIRACL which provides the basic number theoretic routines for cryptographic software developers. we have implemented the RSA encryption and decryption with BlumGoldwasser probabilistic algorithm under various key and message size.