Cryptography is essential for the security of online communication, cars and implanted
medical devices. However, many commonly used cryptosystems will be completely broken …

Blockchain is becoming increasingly popular in the business and academic communities
because it can provide security for a wide range of applications. Therefore, researchers …

Rapid advances in quantum computing, together with the announcement by the National
Institute of Standards and Technology (NIST) to define new standards for digitalsignature …

Lattice-based cryptography offers some of the most attractive primitives believed to be
resistant to quantum computers. Following increasing interest from both companies and …

Designing public key cryptosystems that resist attacks by quantum computers is an important
area of current cryptographic research and standardization. To retain confidentiality of …

Several ideal-lattice-based cryptosystems have been broken by recent attacks that exploit
special structures of the rings used in those cryptosystems. The same structures are also …

We derive a new formula for computing arbitrary odd-degree isogenies between elliptic
curves in Montgomery form. The formula lends itself to a simple and compact algorithm that …

Quantum computing is an emerging field that uses the concepts of quantum mechanics to
outperform classical computers. Quantum computing finds plethora of applications in the 5G …

Introduced by Hoffstein–Pipher–Silverman in 1998. Security related to lattice problems; pre-
version cryptanalyzed with LLL by Coppersmith and Shamir. System parameters (p, q), p …

This paper introduces streamlined constant-time variants of Euclid's algorithm, both for
polynomial inputs and for integer inputs. As concrete applications, this paper saves time in …