Jj. Shi et Y. Watanabe, 2 DECODABLE CODE PAIRS FOR THE 2-USER BINARY ADDER CHANNEL, Electronics and communications in Japan. Part 3, Fundamental electronic science, 78(8), 1995, pp. 95-104
This paper discusses the construction method for the two-decodable cod
e pair (C, S) for the two-user binary additive channel as a model for
the multiple-access channel. (C, S) is constructed by defining the sec
ond code S as the independent set of the two-order associated graph of
the first code C. By restricting the code C to a particular linear co
de, it is possible to give an evaluation of the lower bound for the in
dependence number of the two-order associated graph. In several constr
uction examples for the code pairs, the derived lower bound coincides
with the independence number.