Lattice-based cryptography has been proposed as a postquantum public-key cryptosystem. In this paper, we present a masked ringLWE decryption implementation resistant to first-order side-channel attacks. Our solution has the peculiarity that the entire computation is performed in the masked domain. This is achieved thanks to a new, bespoke masked decoder implementation. The output of the ring-LW...

Public-key cryptography based on the “ring-variant” of the Learning with Errors (ring-LWE) problem is both efficient and believed to remain secure in a post-quantum world. In this paper, we introduce a carefully-optimized implementation of a ring-LWE encryption scheme for 8-bit AVR processors like the ATxmega128. Our research contributions include several optimizations for the Number Theoretic ...

The persistent progress of quantum computing with algorithms of Shor and Proos and Zalka has put our present RSA and ECC based public key cryptosystems at peril. There is a flurry of activity in cryptographic research community to replace classical cryptography schemes with their post-quantum counterparts. The learning with errors problem introduced by Oded Regev offers a way to design secure c...

Recent research in the field of lattice-based cryptography, especially on the topic of the ring-based primitive ring-LWE, provided efficient and practical ring-based cryptographic schemes, which can compete with more traditional number-theoretic ones. In the case of ring-LWE these cryptographic schemes operated mainly in power-of-two cyclotomics, which vastly restricted the variety of possible ...

We develop a statistical framework to analyse the Ring-LWE processes of A Toolkit for Ring-LWE Cryptography (Eurocrypt 2013) and similar processes. We consider the δ-subgaussian random variables used in the Toolkit and elsewhere in the literature, and we give a simple and complete characterisation of such random variables. We then apply our results to the homomorphic cryptosystem provided as an...