计算机工程与设计2024,Vol.45Issue(10) :2905-2913.DOI:10.16208/j.issn1000-7024.2024.10.004

基于矩阵乘法关联的分级图像秘密共享方案

Hierarchical image secret sharing scheme based on matrix multiplication association

陈庆鹏 张丽娜 孙佳琪 章静
计算机工程与设计2024,Vol.45Issue(10) :2905-2913.DOI:10.16208/j.issn1000-7024.2024.10.004

基于矩阵乘法关联的分级图像秘密共享方案

Hierarchical image secret sharing scheme based on matrix multiplication association

陈庆鹏 1张丽娜 1孙佳琪 1章静1
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作者信息

  • 1. 西安科技大学计算机科学与技术学院,陕西西安 710600
  • 折叠

摘要

针对目前图像秘密共享中缺乏集合内或集合间多级权限控制的细粒度问题,提出一种基于矩阵乘法构造分级恢复的图像秘密共享方案.利用图像所具有的矩阵属性,在对原始像素干扰最小的情况下,通过矩阵可逆乘法构建秘密图像之间的关联矩阵,引入效率较高的矩阵运算进行共享份额生成与秘密恢复.当参与者集合中必要参与者满足对应门限时,可恢复第一级秘密图像;当全体参与者满足整体门限时,可恢复第二级秘密图像.仿真结果表明,该加密算法具有良好的安全性与鲁棒性.

Abstract

A hierarchical secret image sharing scheme was proposed to address the fine-grained issue of lacking multi-level access control within or between the sets in current image secret sharing.The matrix properties inherent in images were utilized to mini-mize the interference to original pixels.Through matrix reversible multiplication,an associated matrix was constructed among secret images.Efficient matrix operations were introduced for share generation and secret recovery.The first-level secret image was recovered when the corresponding threshold was satisfied by the necessary participants in the set.Similarly,the second-level secret image was recovered when the overall threshold was met by all participants.The simulation results show that the encryp-tion algorithm has good security and robustness.

关键词

图像秘密共享/门限秘密共享/线性代数/矩阵运算/图像关联/灰度图像/图像处理

Key words

image secret sharing/threshold secret sharing/linear algebra/matrix operation/association of images/grayscale image/image processing

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基金项目

陕西省科技厅青年基金项目(2021JQ-575)

陕西省科技厅青年基金项目(2021JQ-576)

陕西省教育厅基金项目(19JK0526)

西安市科技计划基金项目(22GXFW0063)

榆林市科技局基金项目(2016-24-4)

榆林市科技局基金项目(2019-173)

出版年

2024
计算机工程与设计
中国航天科工集团二院706所

计算机工程与设计

CSTPCD北大核心
影响因子:0.617
ISSN:1000-7024
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