- bilinear pairing
- мат.билинейное спаривание
English-Russian scientific dictionary. 2008.
bilinear pairing
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Pairing-based cryptography — is the use of a pairing between elements of two groups to a third group to construct cryptographic systems. Usually the same group is used for the first two groups, making the pairing in fact a mapping from two elements from one group to an… … Wikipedia
Bilinear form — In mathematics, a bilinear form on a vector space V is a bilinear mapping V × V → F , where F is the field of scalars. That is, a bilinear form is a function B : V × V → F which is linear in each argument separately::egin{array}{l} ext{1. }B(u + … Wikipedia
Pairing — The concept of pairing treated here occurs in mathematics. Definition Let R be a commutative ring with unity, and let M , N and L be three R modules. A pairing is any R bilinear map e:M imes N o L. That is, it satisfies:e(rm,n)=e(m,rn)=re(m,n)for … Wikipedia
Weil pairing — In mathematics, the Weil pairing is a construction of roots of unity by means of functions on an elliptic curve E , in such a way as to constitute a pairing (bilinear form, though with multiplicative notation) on the torsion subgroup of E . The… … Wikipedia
Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… … Wikipedia
BLS (Cryptography) — In cryptography, the Boneh Lynn Shacham signature scheme allows a user to verify that a signer is authentic . The scheme uses a pairing function for verification and signatures are group elements in some elliptic curve. Working in an elliptic… … Wikipedia
Algebraic K-theory — In mathematics, algebraic K theory is an important part of homological algebra concerned with defining and applying a sequence Kn(R) of functors from rings to abelian groups, for all integers n. For historical reasons, the lower K groups K0 and… … Wikipedia
Dual space — In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors… … Wikipedia
Trace (linear algebra) — In linear algebra, the trace of an n by n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii represents the entry on the ith row and ith column … Wikipedia
Signature of a knot — The signature of a knot is a topological invariant in knot theory. It may be computed from the Seifert surface.Given a knot K in the 3 sphere, it has a Seifert surface S whose boundary is K . The Seifert form of S is the pairing phi : H 1(S) imes … Wikipedia
XDH assumption — The External Diffie Hellman (XDH) assumption is a mathematic assumption used in elliptic curve cryptography. The XDH assumption holds that there exist certain subgroups of elliptic curves which have useful properties for cryptography.… … Wikipedia
