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Three Representation Types for Systems of Forms and Linear Maps
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
doaj +1 more source
Nonsingular bilinear maps revisited [PDF]
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
openaire +3 more sources
ABKS-PBM: Attribute-Based Keyword Search With Partial Bilinear Map
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
doaj +1 more source
The review on elliptic curves as cryptographic pairing groups [PDF]
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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Bilinear cryptography using Lie algebras from p-groups [PDF]
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
doaj +1 more source
Triple receiver public key encryption cryptosystem
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
doaj +3 more sources
Binary Tree Based Forward Secure Signature Scheme in the Random Oracle Model [PDF]
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
doaj +1 more source
On extensions of bilinear maps
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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Compressed sensing on the image of bilinear maps [PDF]
5 pages, 1 figure, Proc.
Philipp Walk, Peter Jung 0001
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Hardware acceleration of number theoretic transform for zk‐SNARK
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

