Modulo-2 separable linear codes
Transmission of information through a multiple access channel is addressed for the situation that out of a fixed family of N potential users at most some m, m<N, are active simultaneously. We assign codes to the N users in a way that allows correction of any t or less errors and separate the s≤m messages, provided that the subset of active users is known to the receiver. The construction of codes is tightly connected with a construction of maximum distance codes. A decoding procedure is presented.
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