We present in this paper the results of searching the Kepler Q2 public dataset for the secondary eclipses of 76 hot Jupiter planet candidates from the list of 1,235 candidates published by . This search has been performed by modeling both the Kepler pre-search data conditioned light curves and new light curves produced via our own photometric pipeline . We derive new stellar and planetary parameters for each system , while calculating robust errors for both . We find 16 systems with 1-2 \sigma , 14 systems with 2-3 \sigma , and 6 systems with > 3 \sigma confidence level secondary eclipse detections in at least one light curve produced via the Kepler pre-search data conditioned light curve or our own pipeline , however , results can vary depending on the light curve modeled and whether eccentricity is allowed to vary or not . We estimate false alarm probabilities of 31 % , 10 % , and 6 % for the 1-2 \sigma , 2-3 \sigma , and > 3 \sigma confidence intervals respectively . Comparing each secondary eclipse result to theoretical expectations , we find that the majority of detected planet candidates emit more light than expected due to thermal blackbody emission in the optical Kepler bandpass , and present a trend of increasing excess emission with decreasing maximum effective planetary temperature . These results agree with previously published optical secondary eclipse data for other hot Jupiters . We explore modeling biases , significant planetary albedos , non-LTE or other thermal emission , significant internal energy generation , and mis-identification of brown dwarfs , low-mass stars , or stellar blends as possible causes of both the excess emission and its correlation with expected planetary temperature . Although we find no single cause is able to explain all of the planet candidates , significant planetary albedos , with a general trend of increasing planetary albedos with decreasing atmospheric temperatures , is able to explain most of the systems . Identifying systems that we deem likely to be low-mass stars or stellar blends , we estimate an 11 % false positive rate in the current Kepler planet candidate sample of hot Jupiters . We also establish robust upper limits on the eclipse depth for the remaining systems , and find that the emission of a significant fraction of these systems is consistent with the planets having very low albedos , i.e. , at least 30 % of all systems have A _ { g } < 0.3 at 1 \sigma confidence levels . This result augments the current number of constrained exoplanetary albedos and extends the sample of low albedo determinations to planets with temperatures as low as 1200 K. Finally , we note that continued observations with the Kepler spacecraft , and improved techniques for the removal of systematic noise in the Kepler data , are needed to better characterize these systems .