模块组同态图像的参数作用及其在图像加密中的应用
Ayesha Rafiq1, Saira Bibi2, Aqsa Zafar Abbasi1
1Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, 44000, Pakistan.
Scientific reports
|January 27, 2026
概括
本研究介绍了一种新的代数方法,用于使用通用三角形组 (GTGs) 创建S-Box. 拟议的S-Box表现出强大的加密特性和有效的图像加密功能.
科学领域:
- 数学 数学 是一个数学.
- 密码学 密码学 密码学 密码学
- 计算机科学 计算机科学
背景情况:
- 区块密码对于数据安全至关重要.
- 代数结构的S-Box提供了可取的加密特性,如高非线性.
- 一般化三角形组 (GTG) 为构建这样的S框提供了一个框架.
研究的目的:
- 开发一种新的代数方法,使用GTG参数化构建S-Box.
- 分析拟议的S-Box的加密强度.
- 为了评估S-Boxes在图像加密方案中的性能.
主要方法:
- 使用参数化,获得了PSL的作用的coset图.
- 导出有限的一般化三角形组 (GTG) 作为PSL的同型图像(2,Z).
- 利用这些参数化的动作来建立一个新的代数方法来创建S-Box.
主要成果:
- 小说S-Box表现出优秀的加密特性:非线性 (112),差异统一性 (6),线性近似概率 (0.0576),和差异攻击概率 (0.0039).
- 将其集成到图像加密方案中,产生了高性能指标:NPCR (0.9959),UACI (0.3348) 和近似 (7.98).
结论:
- 基于GTG的参数化为传统的代数S-Box构造方法提供了有效和安全的替代方案.
- 拟议的S-Box适用于实际应用,特别是图像加密.
- 这项研究将抽象的数学概念与应用密码学相结合.
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