Chaotic maps have been widely used in data encryption. However, a number of chaos-based algorithms have been shown to be insecure. The application of BB equation for encryption is reported in a very recent article. In this paper, new algorithms based on chaos and BB equation are proposed for data encryption and decryption. Cryptanalysis of the proposed encryption algorithm is provided. The proposed encryptrion and decryption algorithms are illustrated through a numerical example. Further, the wireless channels have fluctuating channel quantities and high bit-error rates. Hence, a new approach based on the suggested encryption method and turbo channel coding is proposed for image communication over wireless channels . The efficacy of the new approach is illustrated through implementation results for an image communication over Gaussian impulsive noisy wireless channels.