We report the results of a search for the doubly Cabibbo suppressed de
cays D+ --> K+K-K+ and D+ --> phi K+ and the singly Cabibbo suppressed
decays D-s(+) --> K+K-K+ and D-s(+) --> phi K+. Our measurements are
all consistent with zero branching ratio, and we set 90% confidence le
vel upper limits on the relative D+ branching ratios: BR(phi K+)/BR(ph
i pi(+)) < 0.021, BR(K+K-K+)/BR(phi pi(+)) < 0.025 and BR(K+K-K+)/BR(K
(-)pi(+)pi(+)) < 0.0016, and the relative D-s(+) branching ratios: BR(
phi K+)/BR(phi pi(+)) < 0.013 and BR(K+K-K+)/BR(phi pi(+)) < 0.016. Th
e data were accumulated by the Fermilab high energy photoproduction ex
periment E687.