We propose distributed decryption schemes for somewhat homomorphic encryption (SHE). The proposed schemes are constructed based on the encryption scheme by Brakerski and Vaikuntanathan. In SHE, homomorphic multiplication increases the number of elements in a ciphertext. The proposed scheme can decrypt a ciphertext containing more than two elements with k out of N parties. The distributed decryp...

In his seminal paper at STOC 2009, Gentry left it as a future work to investigate (somewhat) homomorphic encryption schemes with IND-CCA1 security. At SAC 2011, Loftus et al. showed an IND-CCA1 attack against the somewhat homomorphic encryption scheme presented by Gentry and Halevi at Eurocrypt 2011. At ISPEC 2012, Zhang, Plantard and Susilo showed an IND-CCA1 attack against the somewhat homomo...

The notion of our common ancestors has received considerable attention of late in both the scientific and lay communities. Principally this attention has focused on ‘Mitochondrial Eve,’ defined to be the woman who lies at the confluence of our maternal ancestry lines, and who is believed to have lived 100,000–200,000 years ago. More recent attention has been given to our common paternal ancesto...

Null controllability for a class of parallelly connected discrete-time polynomial systems is considered. We prove for this class of systems that a necessary and sufficient condition for null controllability of the parallel connection is that all its subsystems are null controllable. Consequently, the controllability test splits into a number of easy-to-check tests for the subsystems. The test f...

From the perspective of speech technology development for unlimited Mandarin Chinese TTS, two issues appear most impedimental: (1.) how to predict prosody from text, and (2.) how to achieve better naturalness for speech output. These impediments somewhat brought out the major pitfalls in related research, i.e., characteristics of Chinese connected speech and the overall rhythmic structure of sp...

In this paper, the concepts of somewhat fuzzy automata continuous functions and somewhat fuzzy automata open functions in fuzzy automata topological spaces are introduced and some interesting properties of these functions are studied. In this connection, the concepts of fuzzy automata resolvable spaces and fuzzy automata irresolvable spaces are also introduced and their properties are studied.

in this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. we also investigate effect to fuzzy soft connectedness. moreover, c_i-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.

a. csaszar introduced and extensively studied the notionof generalized open sets. following csazar, we introduce a new notionsuperconnected. the main purpose of this paper is to study generalizedsuperconnected spaces. various characterizations of generalized super-connected spaces and preservation theorems are discussed.