scholarly journals Multi-Input Functional Encryption for Inner Products: Function-Hiding Realizations and Constructions Without Pairings

2018 ◽  
pp. 597-627 ◽  
Author(s):  
Michel Abdalla ◽  
Dario Catalano ◽  
Dario Fiore ◽  
Romain Gay ◽  
Bogdan Ursu
Keyword(s):  
Functional Encryption ◽  
Inner Products

Simple Functional Encryption Schemes for Inner Products

2015 ◽  
pp. 733-751 ◽  
Author(s):  
Michel Abdalla ◽  
Florian Bourse ◽  
Angelo De Caro ◽  
David Pointcheval
Keyword(s):  
Functional Encryption ◽  
Inner Products ◽  
Encryption Schemes

scholarly journals Efficient Function-Hiding Functional Encryption: From Inner-Products to Orthogonality

2019 ◽  
pp. 127-148 ◽  
Author(s):  
Manuel Barbosa ◽  
Dario Catalano ◽  
Azam Soleimanian ◽  
Bogdan Warinschi
Keyword(s):  
Functional Encryption ◽  
Inner Products

Simple and Generic Constructions of Succinct Functional Encryption

2021 ◽  
Vol 34 (3) ◽  
Author(s):  
Fuyuki Kitagawa ◽  
Ryo Nishimaki ◽  
Keisuke Tanaka
Keyword(s):  
Functional Encryption

scholarly journals When are maps preserving semi-inner products linear?

2021 ◽  
Author(s):  
Paweł Wójcik
Keyword(s):  
Hilbert Space ◽  
Infinite Dimensions ◽  
Normed Spaces ◽  
Linear Isometry ◽  
Inner Products ◽  
Finite Dimensional ◽  
Uniformly Smooth ◽  
Non Linear ◽  
Extra Assumption ◽  
Continuous Injection

AbstractWe observe that every map between finite-dimensional normed spaces of the same dimension that respects fixed semi-inner products must be automatically a linear isometry. Moreover, we construct a uniformly smooth renorming of the Hilbert space $$\ell _2$$ ℓ 2 and a continuous injection acting thereon that respects the semi-inner products, yet it is non-linear. This demonstrates that there is no immediate extension of the former result to infinite dimensions, even under an extra assumption of uniform smoothness.

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