The novel class of nonbinary maximum minimum distance redundant residue num
ber system (RRNS) codes is invoked in the context of adaptively RRNS coded,
symbol-by-symbol adaptive multicarrier modulation, in order to combat the
effects of frequency-selective fading inflicted by dispersive wide-band cha
nnels. The system's performance can be adjusted in order to maintain a give
n target bit error rate (BER) and bit per symbol (BPS) performance. The pro
posed adaptive RRNS scheme outperforms the convolutional constituent code b
ased turbo coded benchmarker system for channel signal-to-noise ratios (SNR
) in excess of about 15 dB at a target BER of 10(-4).