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In 2006, Blake, Murty and Xu proposed three refinements to Miller’s algorithm for computing Weil/Tate Pairings. In this paper we extend their work and propose a generalized algo...
We derive a new algorithm for computing the Tate pairing on an elliptic curve over a finite field. The algorithm uses a generalisation of elliptic divisibility sequences known as...
In this paper, we present a new approach based on theta functions to compute Weil and Tate pairings. A benefit of our method, which does not rely on the classical Miller's alg...
Abstract. Miller’s algorithm for computing pairings involves performing multiplications between elements that belong to different finite fields. Namely, elements in the full e...
Craig Costello, Colin Boyd, Juan Manuel Gonz&aacut...
Abstract. This paper is devoted to the design of fast parallel accelerators for the cryptographic Tate pairing in characteristic three over supersingular elliptic curves. We propos...