Abstract: Basic matrix based on irregular LDPC codes, codec and generation method thereof. The codec includes an encoding/decoding operation module and a basic matrix storage module. In the stored basic matrix Hb, for all girths with length of 4, any element of i, j, k or l constituting the girths in anti-clockwise or clockwise always satisfies inequality: mod(i?j+k?l, z)?0, wherein z is the extension factor. When generating the basic matrix, firstly the number of rows M, number of columns N, and weight vectors of the rows and columns are determined, an irregularly original basic matrix is constructed; then the position of ‘1’ is filled by a value chosen from set {0, 1, 2, . . . , z?1} to obtain the basic matrix Hb, which is made to satisfy the above-mentioned inequality. The basic matrix Hb obtained by storing, which is configured with corresponding encoding/decoding operation module, constitutes the desired encoder/decoder.