Results 11 to 20 of about 8,525 (297)
Structure vs Randomness for Bilinear Maps [PDF]
Discrete Analysis, 2022 Structure vs randomness for bilinear maps, Discrete Analysis 2022:12, 21 pp. A _tensor_ can be thought of as a higher-dimensional analogue of a matrix (where a matrix is 2-dimensional).
Guy Moshkovitz, Alex Cohen
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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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On orthosymmetric bilinear maps [PDF]
Positivity, 2009 In this paper the author proves, among other things, the following two result: the first one states that if \(A\) is an Archimedean almost \(f\)-algebra and if \(D\) is an order-bounded derivation on \(A\), then \(D(abc)=0\) and \((D(ab))^3=0\) for all \(a, b, c \in A\). This result has been obtained independently by \textit{A. Toumi} and \textit{M. A.
Yılmaz, Ruşen
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$n$-factorization Property of Bilinear Mappings [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we define a new concept of factorization for a bounded bilinear mapping $f:X\times Y\to Z$, depended on a natural number $n$ and a cardinal number $\kappa$; which is called $n$-factorization property of level $\kappa$.
Sedigheh Barootkoob
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Self-Bilinear Map from One Way Encoding System and i𝒪
InformationA bilinear map whose domain and target sets are identical is called a self-bilinear map. Original self-bilinear maps are defined over cyclic groups. Since the map itself reveals information about the underlying cyclic group, the Decisional Diffie–Hellman
Huang Zhang +4 more
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Zero product preserving bilinear operators acting in sequence spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 Consider a couple of sequence spaces and a product function $-$ a canonical bilinear map associated to the pointwise product $-$ acting in it. We analyze the class of "zero product preserving" bilinear operators associated with this product, that are ...
E. Erdoğan
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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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A Bilinear Map Pairing Based Authentication Scheme for Smart Grid Communications: PAuth
IEEE Access, 2019 Smart meters have been widely applied in the smart grid, and they enable two-way communication in the smart grid. User's electricity consumption data and other data are transmitted between the entities.
Yuwen Chen +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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Linear Algebra and its Applications, 2021 12 pages, 1 figure; several minor revisions before ...
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