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In this letter, we propose a distributed turbo product code (DTPC) with soft information relaying over cooperative network using block extended Bose Chaudhuri Hochquenghem (EBCH) codes as component codes. The source broadcasts extended EBCH coded frames to the destination and to a preassigned relay. After soft-decoding, the received sequences and obtaining the log-likelihood ratio (LLR) values, the relay constructs a product code by arranging the decoded bit sequences in rows and re-encoding them along the columns using a novel soft block encoding technique to obtain soft parity bits with different reliabilities that can be used as soft incremental redundancy (IR) that is forwarded to the destination. We compared the simulation results in additive white Gaussian noise (AWGN) channel with our previous work for decode-and-forward (DF) DTPC and with noncooperative case. The proposed system shows better bit error rate (BER) performance and less sensitivity to the relay's position.