survey

Progress in Multivariate Cryptography: Systematic Review, Challenges, and Research Directions

Authors:

Ratna DuttaAuthors Info & Claims

ACM Computing Surveys, Volume 55, Issue 12

Article No.: 246, Pages 1 - 34

https://doi.org/10.1145/3571071

Published: 03 March 2023 Publication History

Abstract

Multivariate Public Key Cryptosystem (MPKC) seem to be promising toward future digital security even in the presence of quantum adversaries. MPKCs derive their security from the difficulty of solving a random system of multivariate polynomial equations over a finite field, which is known to be an NP-hard problem. This article aims at presenting a comprehensive survey that covers multivariate public key encryption and signature schemes specifically targeting toward security, efficiency, and parameter choice. The survey starts by giving an overview of the existing security challenges which include structural attacks such as MinRank attack, differential attack, and finding Gröbner basis for direct attack, and so on. Additionally, it discusses the necessary algorithms for the implementation of the multivariate schemes. This study also compares the promising multivariate encryption and signature schemes. The critical open challenges that are reviewed in this survey will serve as a single comprehensive source of information on multivariate encryption and signature schemes and a ready reference for researchers working in this rising area of public key cryptography.

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Index Terms

Progress in Multivariate Cryptography: Systematic Review, Challenges, and Research Directions
1. Security and privacy
  1. Cryptography
    1. Public key (asymmetric) techniques

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cover image ACM Computing Surveys

ACM Computing Surveys Volume 55, Issue 12

December 2023

825 pages

ISSN:0360-0300

EISSN:1557-7341

DOI:10.1145/3582891

Editor:
Albert Zomaya
University of Sydney, Australia

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Publication History

Published: 03 March 2023

Online AM: 17 November 2022

Accepted: 02 November 2022

Revised: 25 September 2022

Received: 28 June 2021

Published in CSUR Volume 55, Issue 12

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