This paper describes two aspects of a linear predictive coding (LPC) vocoder developed for operation on wide- band speech. The method for encoding the LPC parameters, based on the use of an adaptive predictor, is pre- sented together with an extension to the vocoder model which enables it to operate on speech sampled at 16kHz rather than 8kHz. Good-quality operation on wide-band speech is achieved with an increase in bit rate of about 500 bits/s. Diagnostic rhyme test (DRT) results demonstrate the improvement in intelligibility gained through coding speech at the higher sample rate.