Animal breeding is based on the continuous development of individual breeds and their adaptation to changing environmental conditions. For genetic evaluation of animals, huge national databases of performance testing and pedigree datasets are used. Computations, where many model equations are involved is processed by methods BLUP and REML. Currently, SNP markers from DNA chips are also included. The project is focus on Czech cooperation with University of Georgia (USA). Aim of project is to developed and tested algorithms and programs for genomic data editing, construction of genomic relationshipmatrix and verification of genomic procedures in small populations (including impact of export animal, crossbreeds and overlapping populations).