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一类完善秘密共享方案的最优信息率

宋云 李志慧

计算机工程2012,Vol.38Issue(12):9-12,16,5.
计算机工程2012,Vol.38Issue(12):9-12,16,5.DOI:10.3969/j.issn.1000-3428.2012.12.003

一类完善秘密共享方案的最优信息率

Optimal Information Rate of a Type of Perfect Secret Sharing Schemes

宋云 1李志慧1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,西安710062
  • 折叠

摘要

Abstract

This paper studies the optimal information rate of perfect secret sharing schemes of a type of access structures on seven participants. Based on the relationship between these access structures and their connected graphs, 111 connected graphs corresponding to these access structures are given. The exact values of the optimal information rate of 91 access structures based on graphs are computed and the secret sharing schemes attaining the optimal information rate are discussed in Table 1, where the upper and lower bounds on the information rate of the rest 20 are also calculated. The upper bound on the information rate of connected graphs on seven vertices is theoretically proved.

关键词

完善秘密共享方案/单调的存取结构/完全多划分图/信息率/完全多划分覆盖

Key words

perfect secret sharing scheme/ monotone access structure/ complete multipartite graph/ information rate/ complete multipartite covering

分类

信息技术与安全科学

引用本文复制引用

宋云,李志慧..一类完善秘密共享方案的最优信息率[J].计算机工程,2012,38(12):9-12,16,5.

基金项目

国家自然科学基金资助项目(10571112) (10571112)

计算机工程

OACSCDCSTPCD

1000-3428

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