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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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$n$-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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Nonsingular bilinear maps revisited [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020 AbstractA bilinear map $\varPhi :\mathbb {R}^r\times \mathbb {R}^s\to \mathbb {R}^n$ is nonsingular if $\varPhi (\overrightarrow {a},\overrightarrow {b})=\overrightarrow {0}$ implies $\overrightarrow {a}=\overrightarrow {0}$ or $\overrightarrow {b}=\overrightarrow {0}$.
Domínguez, Carlos, Lam, Kee Yuen
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Bilinear cryptography using Lie algebras from p-groups [PDF]
Mathematics and Computational Sciences, 2021 Pairings are particular bilinear maps, and they have been defined based on elliptic curves whichare abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposedpairings from a tensor product of groups in 2013.
Elaheh Khamseh
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Three Representation Types for Systems of Forms and Linear Maps
Mathematics, 2021 We consider systems of bilinear forms and linear maps as representations of a graph with undirected and directed edges. Its vertices represent vector spaces; its undirected and directed edges represent bilinear forms and linear maps, respectively.
Abdullah Alazemi +4 more
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ABKS-PBM: Attribute-Based Keyword Search With Partial Bilinear Map
IEEE Access, 2021 The way services offered by cloud computing gets its unprecedented and undisputed popularity, so its security concerns. Among them the storage as service model (SaaS) is of the forefront of these concerns.
Shawal Khan +6 more
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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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Binary Tree Based Forward Secure Signature Scheme in the Random Oracle Model [PDF]
International Journal of Electronics and Telecommunications, 2021 In this paper we construct and consider a new group-based digital signature scheme with evolving secret key, which is built using a bilinear map. This map is an asymmetric pairing of Type 3, and although, for the reason of this paper, it is treated in a ...
Mariusz Jurkiewicz
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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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Linear Algebra and its Applications, 2021 12 pages, 1 figure; several minor revisions before ...
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