The State of the Art in Integer Factoring and Breaking Public-Key Cryptography - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IEEE Security and Privacy Magazine Year : 2022

The State of the Art in Integer Factoring and Breaking Public-Key Cryptography

Abstract

The security of essentially all public-key cryptography currently in common use today is based on the presumed computational hardness of three number-theoretic problems: integer factoring (required for the security of RSA encryption and digital signatures), discrete logarithms in finite fields (required for Diffie-Hellman key exchange and the DSA digital signature algorithm), and discrete logarithms over elliptic curves (required for elliptic curve Diffie-Hellman and ECDSA, Ed25519, and other elliptic curve digital signature algorithms). In this column, we will review the current state of the art of cryptanalysis for these problems using classical (non-quantum) computers, including in particular our most recent computational records for integer factoring and prime field discrete logarithms.
Fichier principal
Vignette du fichier
cryptography.pdf (307.1 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03691141 , version 1 (08-06-2022)

Identifiers

Cite

Fabrice Boudot, Pierrick Gaudry, Aurore Guillevic, Nadia Heninger, Emmanuel Thomé, et al.. The State of the Art in Integer Factoring and Breaking Public-Key Cryptography. IEEE Security and Privacy Magazine, 2022, 20 (2), pp.80-86. ⟨10.1109/MSEC.2022.3141918⟩. ⟨hal-03691141⟩
167 View
701 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More