The present invention concerns an encoding method in which encoding is
performed of any information word a of length k in the form of a word
.nu. belonging to a Reed-Solomon code C of dimension k' and length n'
(with n'-k'=n-k) such that the components of .nu.' situated in (n'-n)
arbitrary predetermined positions be systematically equal to respective
predetermined constants (for example, all zero). The possibility then
exists of deleting those components of fixed value to obtain a word .nu.
of length n belonging to a code C, which thus constitutes a code that is
shortened with respect to code C. The invention also relates to devices
and apparatuses adapted to implement the encoding method. The invention
may be used for encoding by means of an algebraic geometric code, when
such encoding may be implemented by encoding by means of a plurality of
shortened Reed-Solomon codes.