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This paper describes an extremely efficient squaring operation in the so-called ‘cyclotomic subgroup’ of Fq6, for q≡1mod6. Our result arises from considering the Weil restriction of scalars of this group from Fq6 ...
Public key cryptography can introduce significant processing delays in vehicular communication platforms. This can lead to serious performance issues, especially in the case of multi-hop Inter-Vehicle Communication. In this paper we propose Adaptive Messag ...
The author focuses on the cryptographic protection of e-passports, working from the assumption that even if people can peacefully live with their e- passports, what sort of cryptography technology is involved here? Can e- passport holders protect their pri ...
We reconsider the provably collision resistant Very Smooth Hash and propose a small change in the design aiming to improve both performance and security. While the original proofs of security based on hardness of factoring or discrete logarithms are preser ...
Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2011
The progress in nanofabrication has made possible the realization of optic nanodevices able to handle single photons and to exploit the quantum nature of single-photon states. In particular, quantum cryptography (or more precisely quantum key distribution, ...
This thesis studies the implications of using public key cryptographic primitives that are based in, or map to, the multiplicative group of finite fields with small extension degree. A central observation is that the multiplicative group of extension field ...
PhD dissertation, University of Bristol, UK, February 20062006
The negation map can be used to speed up the Pollard rho method to compute discrete logarithms in groups of elliptic curves over finite fields. It is well known that the random walks used by Pollard rho when combined with the negation map get trapped in fr ...
Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010
The security and performance of pairing based cryptography has provoked a large volume of research, in part because of the exciting new cryptographic schemes that it underpins. We re-examine how one should implement pairings over ordinary elliptic curves f ...
Since the late 70’s, several public key cryptographic algorithms have been proposed. Diffie and Hellman first came with this concept in 1976. Since that time, several other public key cryptosystems were invented, such as the well known RSA, ElGamal or Rabin c ...
The value of the Tate pairing on an elliptic curve over a finite field may be viewed as an element of an algebraic torus. Using this simple observation, we transfer techniques recently developed for torus-based cryptography to pairing-based cryptography, r ...
