电信科学 ›› 2014, Vol. 30 ›› Issue (4): 61-67.doi: 10.3969/j.issn.1000-0801.2014.04.009

• 研究与开发 • 上一篇    下一篇

基于有限域逆映射的轻量级加密SOPT-S盒构造与研究

樊兆龙1,徐启建2,徐勇军3,王飞3   

  1. 1 中国人民解放军理工大学 南京 210007
    2 中国电子设备系统工程公司研究所 北京 100141
    3 中国科学院计算技术研究所 北京 100080
  • 出版日期:2014-04-15 发布日期:2017-06-29
  • 基金资助:
    物联网安全感知关键技术及仿真验证平台”国家高技术研究发展计划（”863”计划）基金资助项目

Construction and Research of Lightweight Cryptography SOPT-S Boxes Based on Inverse Mapping in Galois Field

Zhaolong Fan1,Qijian Xu2,Yongju Xu3,Fei Wang3   

  1. 1 PLA University of Science and Technology, Nanjing 210007, China
    2 Institute of Electronic Equipment System Engineering Corporation, Beijing 100141, China
    3 Institute of Computer Technology Chinese Academy of Sciences, Beijing 100080, China
  • Online:2014-04-15 Published:2017-06-29

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摘要：

基于有限域上的逆映射构造出了一类新的、性能优良的轻量级加密次最优（suboptimal）SOPT-S盒，通过与PRESENT等算法中S盒密码学指标进行对比分析可知，SOPT-S盒密码学特性如差分均匀度、代数次数、雪崩效应优于PRESENT中S盒，其中代数次数达到n-1，雪崩概率为1/2，均达到最佳，同时非线性度与之相等；此外，硬件方面实现规模也与之相同（4×4），从而为轻量级加密算法中分组密码的非线性层设计提供了参考。

关键词: 轻量级加密, 分组密码, 有限域逆映射, SOPT-S盒

Abstract:

A new lightweight S boxes based on the inverse mapping in Galois field which called suboptimal-S boxes （SOPT-S boxes）with excellent performance in cryptology was constructed. It is shown that the SOPT-S boxes perform better in cryptographic properties such as differential uniformity, algebraic degree and avalanche effect than PRESENT, of which the algebraic degree achieves to n-1, avalanche effect to 1/2 and both of them achieve to the best, besides, it has an equivalent nonlinearity compared with PRESENT. In addition, the hardware overhead is also the same as the latter, so that it can provide a reference for the designing of nonlinear layer of lightweight cryptography algorithm.

Key words: lightweight cryptography, block cipher, inverse mapping in Galois field, SOPT-S box

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