Symmetric Encryption M Algorithm for non-letter language information

Using the hybrid operation of different algebra group and mapping theory of discrete mathematics, combining confusion and diffusion simultaneously, we designed a kind of new Symmetric Encryption M Algorithm that is very suitable for Non-letter Based Language Messages (such as Chinese, Japanese, Korean etc). This algorithm is based on reliable group theory in discrete mathematics. Its realization is easy either on hardware or software base. In this paper we elaborated the mathematics theory of the algorithm, the construction of the key, the protocol of encryption, transmission, decryption and its security. Its validity is verified by a sample. It has reliable mathematical theory, high security and high encryption speed. The algorithm breakthrough the round operation and repetition XOR operation used in traditional symmetric encryption algorithm. This is a beneficial search in symmetric algorithm design.