Bilinear maps and hypocontinuity

1985 ◽  
pp. 45-57
Author(s):  
Piotr Antosik ◽  
Charles Swartz
Keyword(s):  
Bilinear Maps

scholarly journals A Novel Construction of Constrained Verifiable Random Functions

2019 ◽  
Vol 2019 ◽  
pp. 1-15
Author(s):  
Muhua Liu ◽  
Ping Zhang ◽  
Qingtao Wu
Keyword(s):  
Random Function ◽  
Secret Key ◽  
Bilinear Maps ◽  
Random Functions ◽  
Compute Function ◽  
Multilinear Maps ◽  
Verifiable Random Functions ◽  
Selective Security

Constrained verifiable random functions (VRFs) were introduced by Fuchsbauer. In a constrained VRF, one can drive a constrained key skS from the master secret key sk, where S is a subset of the domain. Using the constrained key skS, one can compute function values at points which are not in the set S. The security of constrained VRFs requires that the VRFs’ output should be indistinguishable from a random value in the range. They showed how to construct constrained VRFs for the bit-fixing class and the circuit constrained class based on multilinear maps. Their construction can only achieve selective security where an attacker must declare which point he will attack at the beginning of experiment. In this work, we propose a novel construction for constrained verifiable random function from bilinear maps and prove that it satisfies a new security definition which is stronger than the selective security. We call it semiadaptive security where the attacker is allowed to make the evaluation queries before it outputs the challenge point. It can immediately get that if a scheme satisfied semiadaptive security, and it must satisfy selective security.

Arithmetic Garbling from Bilinear Maps

2019 ◽  
pp. 172-192
Author(s):  
Nils Fleischhacker ◽  
Giulio Malavolta ◽  
Dominique Schröder
Keyword(s):  
Bilinear Maps

High Flexible Sanitizing Signature Scheme Based on Bilinear Maps

2010 ◽  
pp. 402-412
Author(s):  
Wen-Chung Kuo ◽  
Jiin-Chiou Cheng ◽  
Yen-Hung Lin ◽  
Lih-Chyau Wuu
Keyword(s):  
Signature Scheme ◽  
Bilinear Maps

Characterizations of compact bilinear maps

1989 ◽  
Vol 25 (4) ◽  
pp. 297-307 ◽  
Author(s):  
David Ruch
Keyword(s):  
Bilinear Maps

scholarly journals Tensor Products and Bimorphisms

1976 ◽  
Vol 19 (4) ◽  
pp. 385-402 ◽  
Author(s):  
Bernhard Banaschewski ◽  
Evelyn Nelson
Keyword(s):  
Tensor Product ◽  
Commutative Ring ◽  
Tensor Products ◽  
Vector Spaces ◽  
Dimensional Vector ◽  
Bilinear Maps ◽  
Special Situation ◽  
Dual Spaces ◽  
Finite Dimensional

The binary tensor product, for modules over a commutative ring, has two different aspects: its connection with universal bilinear maps and its adjointness to the internal hom-functor. Furthermore, in the special situation of finite-dimensional vector spaces, the tensor product can also be described in terms of dual spaces and the internal hom-functor. The aim of this paper is to investigate these relationships in the setting of arbitrary concrete categories.

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