On the Adaptive Security of MACs and PRFs

Andrew Morgan, Rafael Pass, Elaine Shi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the security of two of the most commonly used cryptographic primitives—message authentication codes (MACs) and pseudorandom functions (PRFs)—in a multi-user setting with adaptive corruption. Whereas is it well known that any secure MAC or PRF is also multi-user secure under adaptive corruption, the trivial reduction induces a security loss that is linear in the number of users. Our main result shows that black-box reductions from “standard” assumptions cannot be used to provide a tight, or even a linear-preserving, security reduction for adaptive multi-user secure deterministic stateless MACs and thus also PRFs. In other words, a security loss that grows with the number of users is necessary for any such black-box reduction.

Original languageEnglish
Title of host publicationAdvances in Cryptology – ASIACRYPT 2020 - 26th International Conference on the Theory and Application of Cryptology and Information Security, 2020, Proceedings
EditorsShiho Moriai, Huaxiong Wang
PublisherSpringer Science and Business Media Deutschland GmbH
Pages724-753
Number of pages30
ISBN (Print)9783030648367
DOIs
StatePublished - 2020
Externally publishedYes
Event26th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2020 - Daejeon, Korea, Republic of
Duration: 7 Dec 202011 Dec 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12491 LNCS

Conference

Conference26th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2020
Country/TerritoryKorea, Republic of
CityDaejeon
Period7/12/2011/12/20

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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