We describe the -cryptosystem, a new public key cryptosystem that is built by utilizing the classical one-way chaotic beta-transformation mapping given by mod 1 . The -cryptosystem represents itsâ€¦ (More)

The square root modulo problem is a known primitive in designing an asymmetric cryptosystem. It was first attempted by Rabin. Decryption failure of the Rabin cryptosystem caused by the 4-to-1â€¦ (More)

The Diophantine Equation Hard Problem (DEHP) is a potential cryptographic problem on the Diophantine equation U = n i=1 Vixi. A proper implementation of DEHP would render an attacker to search forâ€¦ (More)

The Diophantine Equation Hard Problem (DEHP) is a potential cryptographic problem on a Diophantine equation. The DEHP has been in existence for " worst case scenario " of the RSA, Diffie-Hellman andâ€¦ (More)

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 functionâ€¦ (More)