Results 11 to 20 of about 10,117 (291)
BILINEAR MAPS ON ARTINIAN MODULES [PDF]
Journal of Algebra and Its Applications, 2012 It is shown that if a bilinear map f : A × B → C of modules over a commutative ring k is nondegenerate (i.e. if no nonzero element of A annihilates all of B, and vice versa), and A and B are Artinian, then A and B are of finite length. Some consequences are noted.
BERGMAN, GEORGE M
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Irreducible maps and bilinear forms
Linear Algebra and its Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brenner, Sheila +2 more
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Forward-Secure Linkable Ring Signatures from Bilinear Maps
Cryptography, 2018 We present the first linkable ring signature scheme with both unconditional anonymity and forward-secure key update: a powerful tool which has direct applications in elegantly addressing a number of simultaneous constraints in remote electronic voting ...
Xavier Boyen, Thomas Haines
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Finding Optimal Formulae for Bilinear Maps [PDF]
, 2012 We describe a unified framework to search for optimal formulae evaluating bilinear --- or quadratic --- maps. This framework applies to polynomial multiplication and squaring, finite field arithmetic, matrix multiplication, etc. We then propose a new algorithm to solve problems in this unified framework.
Barbulescu, Razvan +3 more
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Polynomial approximation of bilinear Diffie–Hellman maps
Finite Fields and Their Applications, 2008 Let \(p\) b an odd prime and \(\mathbb{F}_q\) the finite field of characteristic \(p\) with \(q\) elements, \(E\) an elliptic curve defined over \(\mathbb{F}_q\), \(\ell\) a prime different from \(p\) dividing the order \(|E(\mathbb{F}_q)|\), \(P\in E(\mathbb{F}_q)\) a point of order \(\ell\) and \(m\) the order of \(q\) (modulo \(\ell\)). The bilinear
Ian F. Blake, Theodoulos Garefalakis
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Provably secure secret sharing scheme based on bilinear maps
Tongxin xuebao, 2008 A method to construct provable secure secret sharing scheme using bilinear pairing was recommended.Firstly,the semantic security definition for secret sharing scheme is given,which is developed from the standard definition of semantic security for the ...
LI Hui-xian1, PANG Liao-jun2
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The review on elliptic curves as cryptographic pairing groups [PDF]
Mathematics and Computational Sciences, 2021 Elliptic curve is a set of two variable points on polynomials of degree 3 over a field acted by an addition operation that forms a group structure. The motivation of this study is the mathematics behind that elliptic curve to the applicability within a ...
E Khamseh
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Gleason–Kahane–Żelazko Theorem for Bilinear Maps
Annales Mathematicae Silesianae, 2022 Let A and B be two unital Banach algebras and 𝔘 = A × B. We prove that the bilinear mapping φ: 𝔘 → ℂ is a bi-Jordan homomorphism if and only if φ is unital, invertibility preserving and jointly continuous.
Zivari-Kazempour Abbas
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Eigenmeasures and stochastic diagonalization of bilinear maps [PDF]
, 2021 [EN] A new stochastic approach is presented to understand general spectral type problems for (not necessarily linear) functions between topological spaces.
Enrique A. Sánchez Pérez +3 more
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A NOTE ON SELF-BILINEAR MAPS [PDF]
Bulletin of the Korean Mathematical Society, 2009 Summary: Cryptographic protocols depend on the hardness of some computational problems for their security. \textit{A. Joux} briefly summarized known relations between assumptions related bilinear map in a sense that if one problem can be solved easily, then another problem can be solved within a polynomial time [Lect. Notes Comput. Sci.
Cheon, Jung Hee, Lee, Dong Hoon
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