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 introduce Four Q, a high-security, high-performance elliptic curve that targets the 128-bit
security level. At the highest arithmetic level, cryptographic scalar multiplications on Four Q …

Now in its second edition, this volume provides a uniquely detailed study of $ P $-adic
differential equations. Assuming only a graduate-level background in number theory, the text …

This work deals with the energy-efficient, high-speed and high-security implementation of
elliptic curve scalar multiplication, elliptic curve Diffie-Hellman (ECDH) key exchange and …

In this paper, we highlight the benefits of using genus 2 curves in public-key cryptography.
Compared to the standardized genus 1 curves, or elliptic curves, arithmetic on genus 2 …

This paper sets new speed records for high-security constant-time variable-base-point Diffie–
Hellman software: 305395 Cortex-A8-slow cycles; 273349 Cortex-A8-fast cycles; 88916 …

This paper introduces constant-time ARM Cortex-A8 ECDH software that (1) is faster than
the fastest ECDH option in the latest version of OpenSSL but (2) achieves a security level …

Efficient algorithms for abelian varieties and their moduli spaces Page 1 HAL Id: tel-03498268
https://hal.science/tel-03498268 Submitted on 20 Dec 2021 HAL is a multi-disciplinary open …

Groups of unknown order are of major interest due to their applications including time-lock
puzzles, verifiable delay functions, and accumulators. In this paper we focus on trustless …

Groups of unknown order are of major interest due to their applications including time-lock
puzzles, verifiable delay functions, and accumulators. In this paper we focus on trustless …