We view the asynchronous random code-division multiple-access (CDMA) channe
l as a time-varying convolutional code. We study the case where the users e
ncode their data, and, therefore, the single user transmitters and the CDMA
channel appear as the concatenation of two coding systems. At the receiver
we employ serial Turbo decoding strategies. Unlike conventional Turbo code
s where both the inner and outer code may be selected, in our case, the inn
er code is due to the CDMA channel which we assume to be random. Neverthele
ss, the decoding system resembles-the decoder of a serial Turbo code and si
ngle-user performance is obtained even for numbers of users approaching the
spreading code length.