Lightweight Stream Cipher Based on Time-Varying Mutual Coupling Double Chaotic System

doi:10.3969/j.issn.1671-1122.2024.03.005

Abstract

Abstract:

Aiming at the problem of data encryption transmission in the resource-limited Internet of Things environment, this paper designed a lightweight stream cipher based on time-varying mutual coupling double chaotic system. Based on the chaotic maps of Tent and Arnold, a time-varying double chaotic system for updating the internal state of stream cipher is constructed by introducing accumulators and coupling terms. Based on bit operation, the output part of key stream is designed. This paper designed the basic operation, parameters, accuracy, implementation mode and strategy of the algorithm and implemented it on FPGA. The consumption of hardware resources is 2370 GE, and the output rate of key stream is 1.68bit/clk. The analysis shows that this cipher has good security and anti-attack ability. Compared with the lightweight stream ciphers of ISO/IEC standard, it has obvious advantages in security, resource consumption and throughput.

Key words: Internet of things, double chaotic system, lightweight, degenerate, stream cipher

CLC Number:

TP309

YANG Jiechao, HU Hanping, SHUAI Yan, DENG Yuxin. Lightweight Stream Cipher Based on Time-Varying Mutual Coupling Double Chaotic System[J]. Netinfo Security, 2024, 24(3): 385-397.

Figures/Tables 26

References 37

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使用资源	用量
端口数量	355个
线网数量	1561个
单元数量	1042个
组合单元数量	833个
连续单元数量	202个
缓冲器和反相器数量	102个
基准电路数量	1个
组合面积	10866.969730 μm²
非组合面积	7053.150047 μm²
总芯片面积	17920.119777 μm²

混沌系统		Tent映射	第一维	第二维	第三维	第四维
控制参数		μ=1-2^-6	a=1,b=1	c=1,d=2	μ₁=1-2^-5	μ₂=1-2^-6
李亚普诺夫指数	时变耦合	0.684	0.626	0.628	0.643	0.643
李亚普诺夫指数	固定耦合	0.684	0.561	0.577	0.567	0.556
内部状态长度	时变耦合	2¹⁶比特	2¹³¹比特
内部状态长度	固定耦合	2¹⁶比特	2⁶⁴比特
初始空间长度	时变耦合	2¹⁶比特	2¹²⁸比特
初始空间长度	固定耦合	2¹⁶比特	2⁶⁴比特
轨道周期长度	时变耦合	9280比特	大于1.6?10¹³比特
轨道周期长度	固定耦合	9280比特	115660172368比特

种子密钥	初始化变量	改变方式	改变后种子密钥	密钥流改变量	密钥流改变率
13FB	x₁	1→0	13FA	49999460	49.999460%
DE6A	x₂	0→1	DE6B	50003451	50.003451%
0CBD	x₃	1→0	0CBC	50005016	50.005016%
9722	x₄	0→1	9723	49999600	49.999600%
52A6	q₁	0→1	52A7	49998474	49.998474%
8518	q₂	0→1	8519	49999658	49.999658%
1121	q₃	1→0	1120	49999813	49.999813%
89A0	q₄	0→1	89A1	49996088	49.996088%

测试项	p值	通过率	测试结果
频率测试	0.572847	991/1000	通过
块内频率测试	0.725829	982/1000	通过
累计和测试	0.810790	990/1000	通过
游程测试	0.705466	990/1000	通过
块内最长游程测试	0.514124	992/1000	通过
二进制矩阵测试	0.357000	992/1000	通过
离散傅里叶变换测试	0.729870	987/1000	通过
非重叠模版匹配测试	0.491260	990/1000	通过
重叠模版匹配测试	0.078567	987/1000	通过
Maurer通用统计测试	0.792508	987/1000	通过
近似熵测试	0.473064	990/1000	通过
随机偏离测试	0.426830	616/621	通过
随机偏离变量测试	0.613539	615/621	通过
串行测试	0.251078	983/1000	通过
线性复杂度测试	0.761719	984/1000	通过

数据长度/比特	Alphabit	Rabbit	BlockAlphabit
2²⁰	17/17	38/38	102/102
2²⁵	17/17	39/39	102/102
2³²	17/17	40/40	102/102