Cyclic redundancy code is a protective code used in compressive formats like ZIP or RAR (in conjunction with RLE - run length encoding, a type of code which replaces rows of zeros or ones with tables which contain information how many times zero or one is repeated). CRC (much like its older brother Hamming) basically ensures data integrity by enhancing a dataword with a certain number of protective bits that are calculated based on contents of the dataword. When the archive is extracted, all protective bits are recalculated and if they differ from protective bits stored within the archive, it means data corruption occured. This is your failed "cyclic redundancy check".
I don't really know what could solve your problem. If the format of compressed files on the Fallout CD is recognized by WinRAR or a similar program, you can try and repair the archive. That doesn't always work, however.