An Optimized Inner Product Argument with More Application Scenarios

  • Zongyang Zhang*
  • , Zibo Zhou
  • , Weihan Li
  • , Hongyu Tao
  • *Corresponding author for this work

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

Abstract

The inner product argument is an effective tool to reduce communication complexity in many cryptographic protocols. Bootle et al. (EUROCRYPT’16) presented an inner product argument with a statement including two vector commitments to two vectors and the inner product of the two vectors equals to a public scalar. Bünz et al. (S&P’18) then presented an inner product argument with a statement including only one vector commitment to two vectors. In this paper, we first summarize the scenarios to use inner product arguments based on Bootle et al. and Bünz et al. Then we propose and implement an improved inner product argument for the same statement as Bootle et al. Our argument has a lower communication complexity of 4 log 2n which improves by about 30% when n= 8192. Moreover, as most existing inner product argument protocols have a recursive structure, we find the most appropriate recursive round that decides a better communication complexity.

Original languageEnglish
Title of host publicationInformation and Communications Security - 23rd International Conference, ICICS 2021, Proceedings
EditorsDebin Gao, Qi Li, Xiaohong Guan, Xiaofeng Liao
PublisherSpringer Science and Business Media Deutschland GmbH
Pages341-357
Number of pages17
ISBN (Print)9783030880514
DOIs
StatePublished - 2021
Event23rd International Conference on Information and Communications Security, ICICS 2021 - Chongqing, China
Duration: 19 Nov 202121 Nov 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12919 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference23rd International Conference on Information and Communications Security, ICICS 2021
Country/TerritoryChina
CityChongqing
Period19/11/2121/11/21

Keywords

  • Argument of knowledge
  • Inner product argument
  • Vector commitment

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