WebBilinear Pairing and PUF Based Lightweight Authentication Protocol for IoD Environment Cong Pu† Andrew Wall‡ Kim-Kwang Raymond Choo¶ †Dept. of Computer Science, … Pairings are used in encryption algorithms, such as identity-based encryption (IBE), attribute-based encryption (ABE), (inner-product) predicate encryption, short broadcast encryption and searchable encryption, among others. It allows strong encryption with small signature sizes. See more A pairing is called admissible pairing if it is efficiently computable. The only admissible pairings that are suitable for cryptography are the Weil and Tate pairings on algebraic curves and their variants. Let be the … See more Tate pairings use Miller's algorithm, which is essentially the double-and-add algorithm for elliptic curve point multiplication combined with evaluation of the functions used in … See more The Tate pairing is a map: defined as: where , is any representative in a equivalenceclass in and is the set ofequivalence classes of under theequivalence relation . The equivalencerelation in … See more We have implemented a polymorphic optimal ate pairing over the following pairing-friendly elliptic curves: 1. Barreto-Lynn-Scott degree 12 … See more
computability - Efficient Algorithm for bilinear pairing on ECC ...
WebAN INTRODUCTION TO PAIRING-BASED CRYPTOGRAPHY 3 2. Bilinear pairings Let n be a prime number. Let G1 = hPibe an additively-written group of order n with identity ∞, and let … Webwhere the dot ( ⋅ ) indicates the slot into which the argument for the resulting linear functional is to be placed (see Currying).. For a finite-dimensional vector space V, if either … small bottle of nitrogen
Tate pairing - Wikipedia
WebBilinear pairings A general pairing e : G 1 G 2!G T G 1 is typically a subgroup of E(F q). G 2 is typically a subgroup of E(F qk). G T is a multiplicative subgroup of F qk. Hence pairing … WebThe pairing is a bilinear map that takes two elements as input, one from G1 and one from G2, and outputs an element of GT. The elements of G2 are at least as long as G1; G1 is … WebInitializing Pairings. The Pairing interface provides access to the algebraic structures underlying the pairing computation and the pairing function. The easiest way to obtain an instance of the Pairing interface is by using the factory provided by JPBC. The factory takes in input the pairing parameters and instantiates the appropriate classes ... solution to the towel challenge