The project of Cherenkov counters based on Aerogel, wavelength SHIfter, and PHotomultiplier (ASHIPH) for the KEDR detector is described. The Monte Carlo simulation of number of photoelectrons was carried out. The first counters have been produced. Measurements with cosmic particles were performed. As compared with the direct light collection on PMT, the ASHIPH method allows the diminishment of the number of PMTs essentially. The optical properties of aerogels produced at KEK and at Novosibirsk are presented. (C) 2000 Published by Elsevier Science B.V. All rights reserved.