On the Maximal Achievable Rate for Signal-Code Construction Based on Interleaved Reed-Solomon Codes for Multiple Access System Over Vector-Disjunctive Channel

Abstract

We consider a signal-code construction for a special class of multiple access system over vector-disjunctive channel. This construction is based on interleaved Reed-Solomon codes with collaborative decoding. The considered methods of encoding and decoding on one hand have acceptable complexity for a wide range parameters and on other one a decoding algorithm is able to correct significantly more collisions than bounded-distance decoder. We estimate a maximum achievable relative sum-rate of this construction for fixed number of active users and total number of frequencies to transmit.