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The aim of this paper is to make a contribution to the development of the new stronger cryptographic algorithm using chaotic systems and hyperelliptic curve. In this context, the Diffie-Hellman scheme is implemented with chaotic systems and ElGamal scheme is constructed with hyperelliptic curves. Futhermore, the complexity algorithm is determinated for(More)
The aim of this paper is to show a new algorithm for key exchange and reliable data transmission through the mobile grid computing environment. The system uses very strong one way functions based on the combination of a family of algebraic curves and a Low-Density Parity-Check code (LDPC). The security of the whole scheme is guaranteed by the intractability(More)
SUMMARY In this paper, a new cryptographic system is constructed using a combination of a hyperelliptic curve of genus g ¼ 2 over the Galois field GF(2 n) and a Reed–Solomon code (N, K) over the Galois field GF(2 m) and this system uses a smaller key than the elliptic curves cryptosystem and the Rivest, Shamir, and Adleman cryptosystem. The design criterion(More)
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