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A multi-user coding scheme is proposed for a noisy multiple-access adder channel. Given Ta-user δa-decodable k-ary code A and Td-subset δd-decodable difference set D with its two component sets D+ and D− a priori, larger error-correcting multi-user code C is obtained. Introducing difference set D makes the total rate of generated code C higher than that of conventional code.
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