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Efficient and Generalized Pairing Computation on Abelian Varieties
TLDR
Using the R-ate pairing, the loop length in Miller's algorithm can be as small as log (r1/phi(k)) some pairing-friendly elliptic curves which have not reached this lower bound.
Implementation of Tate Pairing on Hyperelliptic Curves of Genus 2
TLDR
This is the first attempt to present the implementation results for Tate pairing on a hyperelliptic curve of genus bigger than 1 and the detailed algorithms are explained.
A short redactable signature scheme using pairing
TLDR
A short redactable signature scheme based on pairing that is existentially unforgeable under random message attack and weakly private is presented.
TATE PAIRING COMPUTATION ON THE DIVISORS OF HYPERELLIPTIC CURVES OF GENUS 2
We present an explicit Eta pairing approach for computing the Tate pairing on general divisors of hyperelliptic curves Hd of genus 2, where Hd : y 2 + y = x5 + x3 + d is defined over F2n with d = 0
Unique toric structure on a Fano Bott manifold
We prove that if there exists a $c_1$-preserving graded ring isomorphism between integral cohomology rings of two Fano Bott manifolds, then they are isomorphic as toric varieties. As a consequence,
The Gromov Width of Generalized Bott Manifolds
By Delzant’s theorem, closed symplectic toric manifolds are classified by the images of their moment maps. In the case of a generalized Bott manifold, this image is a polytope $P$ combinatorially
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