Search results
Results from the WOW.Com Content Network
Identity-based encryption (IBE), is an important primitive of identity-based cryptography. As such it is a type of public-key encryption in which the public key of a user is some unique information about the identity of the user (e.g. a user's email address). This means that a sender who has access to the public parameters of the system can ...
The Boneh–Franklin scheme is an identity-based encryption system proposed by Dan Boneh and Matthew K. Franklin in 2001. [1] This article refers to the protocol version called BasicIdent. It is an application of pairings (Weil pairing) over elliptic curves and finite fields.
Pairing-based cryptography is used in the KZG cryptographic commitment scheme. A contemporary example of using bilinear pairings is exemplified in the BLS digital signature scheme. [3] Pairing-based cryptography relies on hardness assumptions separate from e.g. the elliptic-curve cryptography, which is older and has been studied for a longer time.
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.
The Weil pairing is an important concept in elliptic curve cryptography; e.g., it may be used to attack certain elliptic curves (see MOV attack). It and other pairings have been used to develop identity-based encryption schemes.
It has several applications on cryptography, as key exchange protocols, identity-based encryption, and broadcast encryption. There exist constructions of cryptographic 2-multilinear maps, known as bilinear maps, [ 1 ] however, the problem of constructing such multilinear [ 1 ] maps for n > 2 {\displaystyle n>2} seems much more difficult [ 2 ...
This is because the Weil pairing or Tate pairing can be used to solve the problem directly as follows: given ,,, on such a curve, one can compute (,) and (,). By the bilinearity of the pairings, the two expressions are equal if and only if a b = c {\displaystyle ab=c} modulo the order of P {\displaystyle P} .
A BLS digital signature, also known as Boneh–Lynn–Shacham [1] (BLS), is a cryptographic signature scheme which allows a user to verify that a signer is authentic.. The scheme uses a bilinear pairing:, where ,, and are elliptic curve groups of prime order , and a hash function from the message space into .