Cloud computing and cloud storage have contributed to a big shift in data processing and its
use. Availability and accessibility of resources with the reduction of substantial work is one of …

Legacy encryption systems depend on sharing a key (public or private) among the peers
involved in exchanging an encrypted message. However, this approach poses privacy …

Parameterized complexity/multivariate complexity algorithmics is an exciting field of modern
algorithm design and analysis, with a broad range of theoretical and practical aspects that …

We propose a fully homomorphic encryption scheme--ie, a scheme that allows one to
evaluate circuits over encrypted data without being able to decrypt. Our solution comes in …

We propose the first fully homomorphic encryption scheme, solving an old open problem.
Such a scheme allows one to compute arbitrary functions over encrypted data without the …

Fully homomorphic encryption (FHE) has been dubbed the holy grail of cryptography, an
elusive goal which could solve the IT world's problems of security and trust. Research in the …

Processing encrypted signals requires special properties of the underlying encryption
scheme. A possible choice is the use of homomorphic encryption. In this paper, we propose …

This book is intended as a text for a course on cryptography with emphasis on algebraic
methods. It is written so as to be accessible to graduate or advanced undergraduate …

This book contains the definitions of several ring constructions used in various applications.
The concept of a groupoid-graded ring includes many of these constructions as special …

A fully homomorphic encryption scheme enables computation of arbitrary functions on
encrypted data. Fully homomorphic encryption has long been regarded as cryptography's …