  The critical behaviour of the one-dimensional q-state Potts model with
long-range interactions decaying with distance r as $r^{-(1+\sigma)}$ has been
studied in the wide range of parameters $0 < \sigma \le 1$ and $\frac{1}{16}
\le q \le 64$. A transfer matrix has been constructed for a truncated range of
interactions for integer and continuous q, and finite range scaling has been
applied. Results for the phase diagram and the correlation length critical
exponent are presented.
