Symmetric code cryptosystems are particularly suitable when large data sets have to be transmitted or stored at high rate. The existing algebraic code based cryptosystems are time consuming and the encoding/decoding speed depends on the key length. They were mainly designed for communications and magnetic media, which have an expected lifetime of up to only a few years. As for transmission there is virtually no lifetime of the transferred information, since the data vanished by itself. The data that is stored on CD or DVD can not be changed, and must remain secure for the lifetime of the sensitive/classified information or the media, which might extend to 100 years or more. This paper proposes a private key cryptosystem based on algebraic coding theory, uses a simple code such as Reed-Solomon code. This new approach is ideal for use in optical media applications. It incorporates with the CD and DVD encoding system, and increases the power of the error correction as a by-product. The system appears to be secure and very efficient because of the low overhead for encryption and decryption.