Abstract:

Aiming at the influence of the uncertainty of underwater noise on information transmission and the security problem of the communication over noisy channels,a confidential communication scheme based on the uncertainty of underwater noisy channels was proposed.The proposed scheme was composed of an interactive key extraction protocol based on Godel’s code and a privacy amplification protocol based on r-circulant Toeplitz matrix.During the process of key extraction,the key sequence comparing number was reduced through the Godel’s code.When calculating the key length after privacy amplification,the uncertainty of underwater noise was considered to make the proposed scheme more practical.Experimental results show that under the condition of satisfying protocol security,it takes 11.99 s to transmit 119 940 bit string where the lower bound of the generated secret key length is 117 331 bit after privacy amplification and the upper bound of the adversary’s information about the secret key is 2 609 bit.Moreover,the proposed scheme (nt+s)×(nt+s)-order r-circulant Toeplitz matrix decreases(nt+s)-1 bit memory space compared to the traditional Toeplitz matrix with the same order.

Key words: underwater noise, uncertainty, Toeplitz matrix, privacy amplification