Abstract: A wireless communication system constructed by a MIMO antenna system and transmitting information from a transmitter having Nt number of transmitting antennas to a receiver 3 having Nr number of receiving antennas. The receiver 3 of this wireless communication system 1 linking the inputs and outputs between a demodulating unit 32 demodulating the input signals from receiving antennas 31 and a decoding unit 35 receiving as input that demodulation output and decoding the non-binary LDPC code of the GF(q) one-to-one under predetermined conditions to enable the inputs and outputs of this demodulating unit 32 and decoding unit 35 to be directly connected and thereby improve the decoding characteristic. That predetermined condition is preferably q=2Nt·m.

Abstract: A parity check matrix construction method for constructing a non-binary parity check matrix defining a non-binary LDPC code. In particular, a parity check matrix construction method for setting codewords able to stably give a superior decoding performance is provided. For this reason, the non-binary non-zero elements are selected so that the determinants of the partial matrices corresponding to the cycles in the parity check matrix do not become 0. Due to this, a non-binary parity check matrix able to give large weight codewords is constructed.

Abstract: A wireless communication system constructed by a MIMO antenna system and transmitting information from a transmitter having Nt number of transmitting antennas to a receiver 3 having Nr number of receiving antennas. The receiver 3 of this wireless communication system 1 linking the inputs and outputs between a demodulating unit 32 demodulating the input signals from receiving antennas 31 and a decoding unit 35 receiving as input that demodulation output and decoding the non-binary LDPC code of the GF(q) one-to-one under predetermined conditions to enable the inputs and outputs of this demodulating unit 32 and decoding unit 35 to be directly connected and thereby improve the decoding characteristic. That predetermined condition is preferably q=2Nt·m.

Abstract: A parity check matrix construction method for constructing a non-binary parity check matrix defining a non-binary LDPC code. In particular, a parity check matrix construction method for setting codewords able to stably give a superior decoding performance is provided. For this reason, the non-binary non-zero elements are selected so that the determinants of the partial matrices corresponding to the cycles in the parity check matrix do not become 0. Due to this, a non-binary parity check matrix able to give large weight codewords is constructed.