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In the last decade, pairing-based cryptography has been one of the most intensively studied subjects in cryptography. Various optimization techniques have been developed to speed up the pairing comp...
We develop an abstract framework that encompasses the key properties of bilinear groups of composite order that are required to construct secure pairing-based cryptosystems, and we show how to use p...
We describe fast new algorithms to implement recent cryptosystems based on the Tate pairing. In particular, our techniques improve pairing evaluation speed by a factor of about 55 compared to previo...
Constructing non-supersingular elliptic curves for pairing-based cryptosystems have attracted much attention in recent years. The best previous technique builds curves with ρ = lg(q)/lg(r) ≈ 1 (k = ...
Pairings on elliptic curves have been used as cryptographic primitives for the development of new applications such as identity based schemes. For the practical applications, it is crucial to provi...
Though the implementation of the Tate pairing is commonly believed to be computationally more intensive than other cryptographic operations, such as ECC point multiplication, there has been a substa...

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