S
Steven D. Galbraith
Researcher at University of Auckland
Publications - 168
Citations - 6801
Steven D. Galbraith is an academic researcher from University of Auckland. The author has contributed to research in topics: Elliptic curve & Supersingular elliptic curve. The author has an hindex of 40, co-authored 158 publications receiving 6106 citations. Previous affiliations of Steven D. Galbraith include Royal Holloway, University of London & University of London.
Papers
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Journal ArticleDOI
Pairings for cryptographers
TL;DR: The aim of this paper is to outline, in as simple a fashion as possible, the basic choices that are available when using pairings in cryptography, and the main properties and efficiency issues are summarized.
Book ChapterDOI
Implementing the Tate Pairing
TL;DR: Methods to quickly compute the Tate pairing, and hence enables efficient implementation of these cryptosystems, are provided and division-free formulae for point tripling on a family of elliptic curves in characteristic three are given.
Journal ArticleDOI
Efficient pairing computation on supersingular Abelian varieties
TL;DR: A general technique for the efficient computation of pairings on Jacobians of supersingular curves is presented, which is called the eta pairing, and which leads to a new algorithm which is about twice as fast as the Duursma–Lee method.
Book ChapterDOI
Supersingular Curves in Cryptography
TL;DR: Bounds on the possible values for k in the case of supersingular curves are given which imply that supersingULAR curves are weaker than the general case for cryptography, by generalising an identity-based cryptosystem due to Boneh and Franklin.
Book
Mathematics of Public Key Cryptography
TL;DR: In this paper, the major ideas and techniques of public key cryptography are discussed, with historical remarks and insightful perspectives on the development of the subject, as well as several examples, proofs and exercises.