  We present a new sample of galaxy-scale strong gravitational-lens candidates,
selected from 904 square degrees of Data Release 4 of the Kilo-Degree Survey
(KiDS), i.e., the "Lenses in the Kilo-Degree Survey" (LinKS) sample. We apply
two Convolutional Neural Networks (ConvNets) to $\sim88\,000$ colour-magnitude
selected luminous red galaxies yielding a list of 3500 strong-lens candidates.
This list is further down-selected via human inspection. The resulting LinKS
sample is composed of 1983 rank-ordered targets classified as "potential lens
candidates" by at least one inspector. Of these, a high-grade subsample of 89
targets is identified with potential strong lenses by all inspectors.
Additionally, we present a collection of another 200 strong lens candidates
discovered serendipitously from various previous ConvNet runs. A
straightforward application of our procedure to future Euclid or LSST data can
select a sample of $\sim3000$ lens candidates with less than 10 per cent
expected false positives and requiring minimal human intervention.
