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We present a framework for the study of a learning problem over abstract groups, and introduce a new technique which allows for public-key encryption using generic groups. We proved, however, that in ...
Noncommutative cryptography is based on applications of algebraic structures like noncommutative groups, semigroups and non-commutative rings. Its inter-section with Multivariate cryptography contains...
Homomorphic universally composable (UC) commitments allow for the sender to reveal the result of additions and multiplications of values contained in commitments without revealing the values themselve...
Homomorphic signatures (HS) allow evaluation of signed messages by producing a signature on a function of messages signed by the same key. Motivated by the vast potential of applications, we initiate ...
This work considers a theoretic problem of merging the digests of two ordered lists “homomorphically.” This theoretic problem has potential applications to efficient and verifiable data outsourcing, w...
Abstract: Let $G_o$ be a semisimple Lie group, let $K_o$ be a maximal compact subgroup of $G_o$ and let $\mathfrak{k}\subset\mathfrak{g}$ denote the complexification of their Lie algebras. Let $G$ be ...
Let G be a subgroup of (Mn(C),+). We show that M 7→ exp(M)is a group homomorphism from G to (GLn(C),×) if and only if G con-sists of commuting matrices. We also prove that if S is a sub-semigroup of (...
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
The years 1880-1914 were a time of intense experimentation in the visual arts. Representative conventions became variable, and artists deliberately departed from a concept of depiction considered as p...
The years 1880-1914 were a time of intense experimentation in the visual arts. Representative conventions became variable, and artists deliberately departed from a concept of depiction considered as p...
We propose a cryptanalysis of the original Domingo-Ferrer's alge- braic privacy homomorphism. We show that the scheme over Zn can be broken by d + 1 known plaintexts in O(d3 log2 n) time when it has...
Mix-nets can be used to shuffle vectors of shared secrets. This operation can be an important building block for solving combinatorial problems where constraints depend on secrets of di erent particip...
We define approximate separation and extension properties of a Banach lattice and study the relation between these and topological fullness of the ideal centre. Banach lattices with topologically full...

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