Abstract. 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...
Robert Granger, Florian Hess, Roger Oyono, Nicolas...
Constructing pairing-friendly hyperelliptic curves with small ρ-values is one of challenges for practicability of pairing-friendly hyperelliptic curves. In this paper, we describe...
We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the research on constructing hyperelliptic curves suitable for pairing-based cryptograph...
Steven D. Galbraith, Florian Hess, Frederik Vercau...
The Ate pairing and the twisted Ate pairing for ordinary elliptic curves which are generalizations of the ηT pairing for supersingular curves have previously been proposed. It is ...
The Ate pairing has been suggested since it can be computed efficiently on ordinary elliptic curves with small values of the traces of Frobenius t. However, not all pairing-friendl...