摘要
针对海洋环境不确定性导致水声信道容易受到各种威胁和攻击的问题,提出了一种基于海洋水声信道的密钥协商方案。该方案首先对海洋环境的不确定性进行建模,构造计算噪声、多径、多普勒参数表达式,提出了基于Rényi熵的水声信道干扰因子概念;其次,基于Twisted Edwards椭圆曲线构造Hash函数,进行身份的认证与初始密钥的提取;然后,使用分段初始密钥的典型序列作为初始化种子,生成分段Toeplitz矩阵,并对Toeplitz矩阵与初始密钥的矩阵乘法采用分块运算生成标签,进行初始密钥的安全传输;最后,初始密钥经再次Hash,实现了保密增强并生成了最终的安全密钥。通过信息理论证明了所提方案的正确性、健壮性和保密性,并得出了敌手主动攻击成功概率的上界。仿真结果表明,当初始信息量为50000 bit时,敌手主动攻击成功率的上界为4.3×10^(-23),密钥生成率为631 bit/s。与现有方案相比,所提方案在密钥生成率和误比特率方面具有明显的优势。
Aiming at the problem that underwater acoustic channel is vulnerable to various threats and attacks due to the uncertainty of marine environment,a key agreement scheme based on ocean acoustic channel is proposed.Firstly,the uncertainty of marine environment is modeled,and the expressions of calculated noise,multipath and Doppler parameter expressions are constructed,and the concept of interference factor of underwater acoustic channel based on Rényi entropy is proposed.Secondly,a Hash function based on Twisted Edwards elliptic curve equation is constructed for conducting identity authentication and extracting the initial key.Then,the typical sequence of piecewise initial keys is used as initial seed to generate piecewise Toeplitz matrix,and the matrix multiplication of Toeplitz matrix and the initial key are used to generate the label by piecewise operation,and securely transfer the initial key.Finally,the initial key is hashed again for privacy amplification and a final secure key generated.The correctness,robustness and confidentiality of the scheme are proved by the information theory,and the upper bound of the probabi-lity of success of the active attack is obtained.Simulation results demonstrate that when the initial information amount is 50000 bit,the upper bound of the success rate of adversary’s active attack is 4.3×10^(-23),and the key generation rate is 631 bit/s.Compared with existing schemes,the proposed scheme has obvious advantages in key generation rate and bit error rate.
作者
梁珍珍
徐明
LIANG Zhen-zhen;XU Ming(College of Information Engineering,Shanghai Maritime University,Shanghai 201306,China;College of Electronics and Information Engineering,Tongji University,Shanghai 201804,China)
出处
《计算机科学》
CSCD
北大核心
2022年第6期356-362,共7页
Computer Science
基金
国家自然科学基金(61202370)
中国博士后科学基金(2014M561512)。
