  We studied the process $e^{+}e^{-} \to t\bar{c}+c\bar{t}$ in a R_{p}
violating supersymmetric model with effects from both B- and L-violating
interactions. The calculation shows that it is possible to either detect the
R_{p} violating signal at the Next Linear Collider or get more stringent
constraints on the heavy-flavor $\rlap/R_{p}$ couplings. A comparision with
results from $\gamma\gamma \to t\bar{c}+ c\bar{t}$ may allow to distinguish
between B- and L-violating interactions. For very clean background conditions
and R_{p} violation parameters close to present limits, a future detection of
B-violating interactions should be possible. The process of $\mu ^{+} \mu ^{-}
\to t \bar{c}+c\bar{t}$ is also considered.
