title: Novel Threshold Changeable Secret Sharing Schemes Based on Polynomial Interpolation.
abstract: After any distribution of secret sharing shadows in a threshold changeable secret sharing scheme, the threshold may need to be adjusted to deal with changes in the security policy and adversary structure. For example, when employees leave the organization, it is not realistic to expect departing employees to ensure the security of their secret shadows. Therefore, in 2012, Zhang et al. proposed (t → t', n) and ({t1, t2,⋯, tN}, n) threshold changeable secret sharing schemes. However, their schemes suffer from a number of limitations such as strict limit on the threshold values, large storage space requirement for secret shadows, and significant computation for constructing and recovering polynomials. To address these limitations, we propose two improved dealer-free threshold changeable secret sharing schemes. In our schemes, we construct polynomials to update secret shadows, and use two-variable one-way function to resist collusion attacks and secure the information stored by the combiner. We then demonstrate our schemes can adjust the threshold safely.
authors: School of Software Technology, Dalian University of Technology, Dalian, 116620, China.|Key Laboratory for Ubiquitous Network and Service Software of Liaoning Province, Dalian, 116620, China.
authors: Lifeng
authors: http://orcid.org/0000-0002-5655-1026
authors: L
authors: Yuan
authors: School of Software Technology, Dalian University of Technology, Dalian, 116620, China.|Key Laboratory for Ubiquitous Network and Service Software of Liaoning Province, Dalian, 116620, China.
authors: Mingchu
authors: M
authors: Li
authors: School of Software Technology, Dalian University of Technology, Dalian, 116620, China.|Key Laboratory for Ubiquitous Network and Service Software of Liaoning Province, Dalian, 116620, China.
authors: Cheng
authors: C
authors: Guo
authors: Department of Information Systems and Cyber Security, University of Texas at San Antonio, San Antonio, TX 78249-0631, United States of America.|School of Information Technology and Mathematical Sciences, University of South Australia, Adelaide, 5095, Australia.
authors: Kim-Kwang Raymond
authors: KR
authors: Choo
authors: School of Cyberspace, Hangzhou Dianzi University, Hangzhou, 310018, China.
authors: Yizhi
authors: Y
authors: Ren
mesh_terms: D016494:Computer Security; D020407:Internet; D008962:Models, Theoretical