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We present a study of shape, spectra and polarization properties of giantpulses (GPs) from the Crab pulsar at the very high frequencies of 8.5 and 15.1GHz. Studies at 15.1 GHz were performed for the first time. Observations wereconducted with the 100-m radio telescope in Effelsberg in Oct-Nov 2007 at thefrequencies of 8.5 and 15.1 GHz as part of an extensive campaign ofmulti-station multi-frequency observations of the Crab pulsar. A selection ofthe strongest pulses was recorded with a new data acquisition system, based ona fast digital oscilloscope, providing nanosecond time resolution in twopolarizations in a bandwidth of about 500 MHz. We analyzed the pulse shapes,polarisation and dynamic spectra of GPs as well as the cross-correlationsbetween their LHC and RHC signals. No events were detected outside main pulseand interpulse windows. GP properties were found to be very different for GPsemitted at longitudes of the main pulse and the interpulse. Cross-correlationsof the LHC and RHC signals show regular patterns in the frequency domain forthe main pulse, but these are missing for the interpulse GPs. We considerconsequences of application of the rotating vector model to explain theapparent smooth variation in the position angle of linear polarization for mainpulse GPs.  We also introduce a new scenario of GP generation as a direct consequence ofthe polar cap discharge. We find further evidence for strong nano-shotdischarges in the magnetosphere of the Crab pulsar. The repetitive frequencyspectrum seen in GPs at the main pulse phase is interpreted as a diffractionpattern of regular structures in the emission region. The interpulse GPshowever have a spectrum that resembles that of amplitude modulated noise.Propagation effects may be the cause of the differences.

Giant Pulses with Nanosecond Time Resolution detected from the Crab Pulsar at 8.5 and 15.1 GHz