Binary function non degenerative defined between the point of twist of an abelian variety
In mathematics, the Weil pairing is a pairing (bilinear form, though with multiplicative notation) on the points of order dividing n of an elliptic curve E, taking values in nth roots of unity. More generally there is a similar Weil pairing between points of order n of an abelian variety and its dual. It was introduced by André Weil (1940) for Jacobians of curves, who gave an abstract algebraic definition; the corresponding results for elliptic functions were known, and can be expressed simply by use of the Weierstrass sigma function.
In mathematics, the Weilpairing is a pairing (bilinear form, though with multiplicative notation) on the points of order dividing n of an elliptic curve...
with O as identity. The group operations can be performed efficiently. Weilpairing is a construction of roots of unity by means of functions on an elliptic...
points on an Abelian variety admit a symplectic bilinear form called the Weilpairing. In the case of Jacobians of curves of genus two, every nontrivial 2-torsion...
cryptocurrency uses BLS12-381. Pairing-based cryptography Dan Boneh; Ben Lynn & Hovav Shacham (2004). "Short Signatures from the WeilPairing". Journal of Cryptology...
(1994) applied the Tate pairing over finite fields to cryptography. Weilpairing Lichtenbaum, Stephen (1969), "Duality theorems for curves over p-adic...
Mann and Cynthia Weil, in most cases as a songwriting duo. The pair have also collaborated with other songwriters. Both Mann and Weil have also written...
Kid" Weil (July 1, 1875 – February 26, 1976) was one of the best known American con men of his era. Weil's biographer, W. T. Brannon, wrote of Weil's "uncanny...
Shacham developed a scheme to digital signature scheme based on the Weilpairing with Dan Boneh and Ben Lynn. The scheme was important because of the...
In algebraic geometry, a Weil cohomology or Weil cohomology theory is a cohomology satisfying certain axioms concerning the interplay of algebraic cycles...
abelian varieties are Cartier duals of each other. This generalises the Weilpairing for elliptic curves. A polarisation of an abelian variety is an isogeny...
muscle pains, and fevers) to severe (bleeding in the lungs or meningitis). Weil's disease (/ˈvaɪlz/ VILES), the acute, severe form of leptospirosis, causes...
proposed one of the first identity-based encryption schemes based on the Weilpairing. The Boneh-Franklin scheme remains an active area of research. In 2010...
intersection form is with modern tools possible algebraically. In fact the Weilpairing applies, in its abelian variety form. Triples (θ1, θ2, θ3) of theta characteristics...
bilinear maps with believable security have been constructed using Weilpairing and Tate pairing. For n > 2 {\displaystyle n>2} many constructions have been...
abelian varieties are Cartier duals of each other. This generalizes the Weilpairing for elliptic curves. The theory was first put into a good form when K...
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