  In order to look for large super-fast rotators, five dedicated surveys
covering ~ 188 square degree in the ecliptic plane have been carried out in
R-band with ~10 min cadence using the intermediate Palomar Transient Factory in
late 2014 and early 2015. Among 1029 reliable rotation periods obtained from
the surveys, we discovered one new large super-fast rotator, (40511) 1999 RE88,
and other 18 candidates. (40511) 1999 RE88 is an S-type inner main-belt
asteroid with a diameter of D = 1.9 +- 0.3 km, which has a rotation period of P
= 1.96 +- 0.01 hr and a lightcurve amplitude of ~0.1 mag. To maintain such fast
rotation, an internal cohesive strength of ~780 Pa is required. Combining all
known large super-fast rotators, their cohesive strengths all fall in the range
of 100 to 1000 Pa of lunar regolith. However, the number of large super-fast
rotators seems to be far less than the whole asteroid population. This might
indicate a peculiar asteroid group for them. Although the detection efficiency
for a long rotation period is greatly reduced due to our two-day observation
time span, the spin-rate distributions of this work show consistent results
with Chang et al. (2015) after considering the possible observational bias in
our surveys. It shows a number decrease with increase of spin rate for
asteroids with diameter of 3 < D < 15 km, and a number drop at spin-rate of f =
5 rev/day for asteroids with D < 3 km.
