منابع مشابه
Two-Input Functional Encryption for Inner Products from Bilinear Maps
Functional encryption is a new paradigm of public-key encryption that allows a user to compute f (x) on encrypted data CT (x) with a private key SK f to finely control the revealed information. Multi-input functional encryption is an important extension of (single-input) functional encryption that allows the computation f (x1, . . . ,xn) on multiple ciphertexts CT (x1), . . . ,CT (xn) with a pr...
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We introduce the notion of homotopy inner products for any cyclic quadratic Koszul operad O, generalizing the construction already known for the associative operad. This is done by defining a colored operad b O, which describes modules over O with invariant inner products. We show that b O satisfies Koszulness and identify algebras over a resolution of b O in terms of derivations and module map...
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Functional encryption is a new paradigm in public-key encryption that allows users to finely control the amount of information that is revealed by a ciphertext to a given receiver. Recent papers have focused their attention on constructing schemes for general functionalities at expense of efficiency. Our goal, in this paper, is to construct functional encryption schemes for less general functio...
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Sobolev orthogonal polynomials with respect to measures supported on subsets of the complex plane are considered. The connection between the following properties is studied: the multiplication operator M p(z) = zp(z) defined on the space P of algebraic polynomials with complex coefficients is bounded with respect to the norm defined by the Sobolev inner product, the supports of the measures are...
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We give several criteria that are equivalent to the basic singular value majorization inequality (1.1) that is common to both the usual and Hadamard products. We then use these criteria to give a uniied proof of the basic majorization inequality for both products. Finally, we introduce natural generalizations of the usual and Hadamard products and show that although these generalizations do not...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2016
ISSN: 1064-8275,1095-7197
DOI: 10.1137/15m1042048