Computer Science – Cryptography and Security
Scientific paper
2010-12-27
Computer Science
Cryptography and Security
There is a major flaw within the arguments such that the results are compromised
Scientific paper
The El-Gamal AA_{\beta} Public Key Cryptosystem is a new asymmetric cryptosystem based on the piecewise AA_{\beta}-function. The AA_{\beta}-function which is essentially a one way Boolean function was motivated by the squaring and multiplying process while computing g^a (mod p) in the Diffie Hellman key exchange procedure and also computing C \equiv M^e (mod N) and M \equiv C^d (mod N) in the RSA cryptosystem. It was also motivated by the add and double point operation E=kG in the elliptic curve cryptosystem. The hard mathematical problem surrounding this newly designed asymmetric cryptosystem is the NP-complete problem known as the subset sum problem. The El-Gamal AA_{\beta} Public Key Cryptosystem mimics the El-Gamal Cryptosystem and the Elliptic Curve Cryptosystem by sending a two parameter ciphertext to the recipient.
Abu Nor Azman
Ghani Aniza Abdul
Kamel Ariffin Muhammad Rezal
Mandangan Arif
Mohd Atan Kamel Ariffin
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