Visible to the public Zero-Knowledge Identification Scheme Based on Symmetry Ergodic Matrices Exponentiation Problem

TitleZero-Knowledge Identification Scheme Based on Symmetry Ergodic Matrices Exponentiation Problem
Publication TypeConference Paper
Year of Publication2017
AuthorsHuang, Huawei, Qu, Yunyun, Deng, Lunzhi
Conference NameProceedings of the 2017 International Conference on Cryptography, Security and Privacy
PublisherACM
Conference LocationNew York, NY, USA
ISBN Number978-1-4503-4867-6
KeywordsCompanion Matrix, composability, exponentiation, finite field, identification scheme, Metrics, post quantum cryptography, Primitive Polynomials, pubcrawl, quantum computing security, Resiliency, Scalability
Abstract

Symmetry ergodic matrices exponentiation (SEME) problem is to find x, given CxMDx, where C and D are the companion matrices of primitive polynomials and M is an invertible matrix over finite field. This paper proposes a new zero-knowledge identification scheme based on SEME problem. It is perfect zero-knowledge for honest verifiers. The scheme could provide a candidate cryptographic primitive in post quantum cryptography. Due to its simplicity and naturalness, low-memory, low-computation costs, the proposed scheme is suitable for using in computationally limited devices for identification such as smart cards.

URLhttp://doi.acm.org/10.1145/3058060.3058084
DOI10.1145/3058060.3058084
Citation Keyhuang_zero-knowledge_2017