The Lunar Reconnaissance Orbiter (LRO) Lyman Alpha Mapping Project (LAMP) CODMAC Level 3 Reduced Data Record is a collection of the far ultraviolet photon detections obtained by the LAMP instrument, corrected for instrumental effects, radiometrically calibrated, and correlated with the auxiliary information needed to locate the observations in space and time. These data are organized, in a manner very similar to the EDR product files from which they are derived, into extensions within files formatted according to the Flexible Image Transport System (FITS) standard, version 2.1b. The LAMP RDR archive enables reprocessing of the corrected and calibrated science data into far ultraviolet map products as map processing routines improve. Investigators interested in applying advanced mapping methods or needing to understand the properties of the corrected and calibrated data will find the RDR products useful. Many investigators, however, will be interested in using the LAMP CODMAC Level 5 far ultraviolet map products directly.