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Steven Galbraith Publications
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Amazon Music Stream millions of songs. Amazon Drive Cloud storage from Amazon. Journal link Full version: My PhD student Dave worked this out, but then we found out that Mike had already discovered it and implemented it in Magma, but had never got around to writing it up.
The original title of this paper was "pairings for dummies". Information Theory, Volume 54, Issue 12 Igor Shparlinski pointed out January 12, that the proof of Lemma 15 is not complete. One would need to show there are families consisting of pairs r,q which are prime. Vercauteren, Hyperelliptic pairings , in T. Sheedy, Simplified pairing computation and security implications , J.
The State of Elliptic Curve Cryptography
Galbraith, Constructing pairing-friendly elliptic curves using Groebner basis reduction , in S. The early version was also printed as: We worked on this paper for a very long time, and it got bigger and bigger. Smart, Cambridge University Press, Publisher's link Full version: For cryptanalysis also see: McKee, Pairings on elliptic curves over finite commutative rings , in N. Slides from a survey of this work presented in August at Chuo University, Tokyo.
I lectured on these questions in Spain, and Victor was in the audience. He had some ideas which we worked on for some months by email. Mao, Invisibility and anonymity of undeniable and confirmer signatures, in M. Electronic Journal link Full version. Conference version published as: Galbraith, Weil descent of Jacobians , in D.
Paterson, RSA-based undeniable signatures for general moduli , in B. This has always been one of my favourite papers. I think because I learnt a lot about formal groups from writing it.
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Smart, Public key signatures in the multi-user setting , Information Processing Letters, Volume 83, Issue 5 Soldera, Implementing the Tate pairing , in C. Hewlett-Packard laboratories technical report HPL This was a race with Barreto-Kim-Lynn-Scott. But we are all friends now. This paper comes out of my thesis, many years later. Some of the computations were extremely difficult to perform. Smart, Arithmetic on superelliptic curves , Mathematics of Computation 71, No. This paper took a very very long time to be published.
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Galbraith, Supersingular curves in cryptography , in C.