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- Florian Hess
- Selected Areas in Cryptography
- 2002

We develop an eecient identity based signature scheme based on pairings whose security relies on the hardness of the Diie-Hellman problem in the random oracle model. We describe how this scheme isâ€¦ (More)

- Florian Hess, Nigel P. Smart, Frederik Vercauteren
- IEEE Transactions on Information Theory
- 2006

In this paper, we simplify and extend the Eta pairing, originally discovered in the setting of supersingular curves by Barreto , to ordinary curves. Furthermore, we show that by swapping theâ€¦ (More)

- Pierrick Gaudry, Florian Hess, Nigel P. Smart
- Journal of Cryptology
- 2001

In this paper we look in detail at the curves which arise in the method of Galbraith and Smart for producing curves in the Weil restriction of an elliptic curve over a finite field of characteristicâ€¦ (More)

- Steven D. Galbraith, Florian Hess, Frederik Vercauteren
- IEEE Transactions on Information Theory
- 2007

In this paper, we discuss some applications of the pairing inversion problem and outline some potential approaches for solving it. Our analysis of these approaches gives further evidence that pairingâ€¦ (More)

- Florian Hess
- J. Symb. Comput.
- 2002

We develop a simple and e cient algorithm to compute Riemann-Roch spaces of divisors in general algebraic function elds which does not use the Brill-Noether method of adjoints nor any seriesâ€¦ (More)

- Steven D. Galbraith, Florian Hess, Nigel P. Smart
- IACR Cryptology ePrint Archive
- 2001

In this paper we extend the Weil descent attack due to Gaudry, Hess and Smart (GHS) to a much larger class of elliptic curves. This extended attack applies to fields of composite degree over F2. Theâ€¦ (More)

- Seiichi P T Matsuda, Naoki Kanayama, Florian Hess, Eiji Okamoto
- IACR Cryptology ePrint Archive
- 2007

We observe a natural generalisation of the ate and twisted ate pairings, which allow for performance improvements in non standard applications of pairings to cryptography like composite group orders.â€¦ (More)

- Robert Granger, Florian Hess, Roger Oyono, Nicolas ThÃ©riault, Frederik Vercauteren
- EUROCRYPT
- 2007

In this paper we show that the Ate pairing, originally defined for elliptic curves, generalises to hyperelliptic curves and in fact to arbitrary algebraic curves. It has the following surprisingâ€¦ (More)

- Florian Hess
- IACR Cryptology ePrint Archive
- 2002

We describe general exponent group signature schemes and show how these naturally give rise to identity based signature schemes if pairings are used. We prove these schemes to be secure in the randomâ€¦ (More)

- Florian Hess, Igor E. Shparlinski
- Des. Codes Cryptography
- 2005

We show that the elliptic curve analogue of the linear congruential generator produces sequences with high linear complexity and good multidimensional distribution.