Results 11 to 20 of about 2,086,846 (295)
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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Triple receiver public key encryption cryptosystem
网络与信息安全学报, 2020 A triple receiver public key cryptosystem was proposed.In the cryptosystem,a sender encrypted a message and sent to three receivers,while the three receivers were able to decrypt the message with their own private keys.Based on bilinear map,two triple ...
Liutao ZHAO +4 more
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Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
On extensions of bilinear maps
Mathematica Slovaca, 2022 Abstract The paper deals with extension of bounded bilinear maps. It gives a necessary and sufficient condition for extending a bounded bilinear map on the Cartesian product of subspaces of Banach spaces. This leads to a full characterization for extension of bounded bilinear maps on the Cartesian product of arbitrary subspaces of ...
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Bihypercyclic bilinear mappings
Journal of Mathematical Analysis and Applications, 2013 Abstract We propose a notion of orbit for bilinear mappings on Banach spaces. This then leads us to the concept of bihypercyclic bilinear mappings, that is, of bilinear mappings with a dense orbit. We provide some examples of such mappings, and we obtain some basic properties of bihypercyclicity.
Grosse-Erdmann, Karl-G., Kim, Sung Guen
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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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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.
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