Summary form only given. A new scheme for transmitting sensitive data is proposed, the proposed scheme depends on partitioning the output of a block encryption module using the Chinese Remainder Theorem among a set of channels. The purpose of using the Chinese Remainder Theorem is to hide the cipher text in order to increase the difficulty of attacking the cipher. The proposed scheme assumes the existence of a set of transmission channels between the sender and the receiver parties from which S channels are chosen using some selection criteria. The message is divided into as set of blocks of a size that is a multiple of the size of the underlying block cipher block size. The resulting N bit encrypted block is used as an N-bits integer. This integer remainders with respect to S selected relatively prime numbers are sent over the S selected channels. On the receiver side the inverse Chinese remainder is applied to get the encrypted blocks followed by a decryption operation to construct the original message. The theory, implementation and the security of this scheme are described in the paper.