A General(k,n)Threshold Secret Image Sharing Construction Based on Matrix Theory

• 作者: Kesheng Liu Lintao Liu Wanmeng Ding Xuehu Yan
• 来源期刊: 国际计算机前沿大会会议论文集
• 学科: 社会科学
• 关键词: SECRET image sharing Shamir’s POLYNOMIAL VANDERMONDE MATRIX MATRIX theory·Linear space THRESHOLD CONSTRUCTION
• 年，卷（期）: 2017,（1）
• 页码范围: 82-84
• 页数: 3页
• 分类号: C5

摘要

Shamir proposed a classic polynomial-based secret sharing(SS)scheme,which is also widely applied in secret image sharing(SIS).However,the following researchers paid more attention to the development of properties,such as lossless recovery,rather than the principle of Shamir’s polynomial-based SS scheme.In this paper,we introduce matrix theory to analyze Shamir’s polynomial-based scheme as well as propose a general(k,n)threshold SIS construction based on matrix theory.Besides,it is proved that Shamir’s polynomial-based SS scheme is a special case of our construction method.Both experimental results and analyses are given to demonstrate the effectiveness of the proposed construction method.