Decoding matrix for two dimensional convolutional codes

In this paper, we extend our previous work about a right inverse of polynomial matrix of 2-D convolutional encoders associated with encoder primeness, since a generator matrix has a right inverse of polynomial matrix if it is left zero prime. The Gröbner basis of the ideal generated by all minors of generator matrix is essential for the first step computation. An example is illustrated. A left minor prime of generator matrix is discussed via finding the greatest common divisor (gcd) of the full-size minors of generator matrix based on an algebraic approach.