Breaking the hardness assumption and IND-CPA security of HQC submitted to NIST PQC project

doi:10.1049/iet-ifs.2019.0214

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	Breaking the hardness assumption and IND-CPA security of HQC submitted to NIST PQC project
	Liu, Zhen 1,2,3; Pan, Yanbin1 ; Xie, Tianyuan 1,3
	2020-05-01
发表期刊	IET INFORMATION SECURITY
ISSN	1751-8709
卷号	14 期号:3 页码:313-320
摘要	Hamming quasi-cyclic (HQC) cryptosystem, proposed by Aguilar Melchoret al., is a code-based key encapsulation mechanism (KEM) submitted for the NIST standardisation process of post-quantum cryptography (PQC). Under the assumption that thes-decision quasi-cyclic syndrome decoding (s-DQCSD) problem is hard fors = 2 and 3, HQC, viewed as a public-key encryption scheme, is proven to be indistinguishability under chosen plaintext attack (IND-CPA) secure, and can be transformed into an IND-Adaptive chosen ciphertext attack secure KEM. However, the authors will show that thes-DQCSD problem is actually not intractable and HQC cannot attain IND-CPA security with all the proposed parameter sets. As HQC was selected as one of the second-round candidates by NIST, it was also updated to resist attack. The underlyings-DQCSD problem was replaced by thes-DQCSD with a parity problem and they claimed that the updated HQC could attain IND-CPA security under the hardness of the new problem. However, they find that there is some flaw in their security proof and the updated HQC is still vulnerable to attack. To fix it, they define a new problem calleds-DQCSD with variable weight and present revised scheme HQC-beta, which finally attains the IND-CPA security under the hardness assumption of the new problem.
关键词	decoding public key cryptography quantum cryptography computational complexity optimisation cyclic codes IND-CPA security NIST PQC project hamming quasicyclic cryptosystem code-based key encapsulation mechanism NIST standardisation process public-key encryption scheme IND-CCA2 secure KEM revised scheme HQC- beta HQC cryptosystem s-DQCSD problem s-decision quasi-cyclic syndrome decoding plaintext attack
DOI	10.1049/iet-ifs.2019.0214
收录类别	SCI
语种	英语
资助项目	NNSF of China[61572490] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems ; Computer Science, Theory & Methods
WOS记录号	WOS:000561335400006
出版者	INST ENGINEERING TECHNOLOGY-IET
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52046
专题	系统科学研究所
通讯作者	Pan, Yanbin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, NCMIS, Beijing 100190, Peoples R China 2.State Key Lab Cryptol, POB 5159, Beijing 100878, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu, Zhen,Pan, Yanbin,Xie, Tianyuan. Breaking the hardness assumption and IND-CPA security of HQC submitted to NIST PQC project[J]. IET INFORMATION SECURITY,2020,14(3):313-320.
APA	Liu, Zhen,Pan, Yanbin,&Xie, Tianyuan.(2020).Breaking the hardness assumption and IND-CPA security of HQC submitted to NIST PQC project.IET INFORMATION SECURITY,14(3),313-320.
MLA	Liu, Zhen,et al."Breaking the hardness assumption and IND-CPA security of HQC submitted to NIST PQC project".IET INFORMATION SECURITY 14.3(2020):313-320.