Three decades ago, Montgomery introduced a new elliptic curve model for use in Lenstra's
ECM factorization algorithm. Since then, his curves and the algorithms associated with them …

Endpoint devices form a core part of the architecture of the Industrial Internet of Things (IIoT).
Aspects of endpoint device security also extend to related technology paradigms, such as …

Abstract In Internet of Things (IoT), the massive connectivity of devices and enormous data
on the air have made information susceptible to different type of attacks. Cryptographic …

Zcash is an implementation of the Decentralized Anonymous Payment scheme Zerocash,
with security fixes and improvements to performance and functionality. It bridges the existing …

An argument system for NP is a proof system that allows efficient verification of NP
statements, given proofs produced by an untrusted yet computationally-bounded prover …

This paper shows that a $390 mass-market quad-core 2.4 GHz Intel Westmere (Xeon
E5620) CPU can create 109000 signatures per second and verify 71000 signatures per …

We give precise quantum resource estimates for Shor's algorithm to compute discrete
logarithms on elliptic curves over prime fields. The estimates are derived from a simulation of …

The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

We present new candidates for quantum-resistant public-key cryptosystems based on the
conjectured difficulty of finding isogenies between supersingular elliptic curves. The main …

Oblivious Transfer (OT) is the fundamental building block of cryptographic protocols. In this
paper we describe the simplest and most efficient protocol for 1-out-of-n OT to date, which is …