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This paper presents a parameter study of our Compressed Linear Genetic Programming (cl-GP) using the Even-n-parity problem. A cl-GP system is a linear genetic programming (GP) which uses substring compression as a modularization scheme. Despite the fact that the compression of substrings assumes a tight linkage between alleles, this approach improves the search process. The compression of the genotype, which is a form of linkage learning, provides both a protection mechanism and a form of genetic code reuse. This text presents a study of the different parameters of the cl-GP on Even-n-parity. Experiments indicate that the cl-GP performs best when compressing a small fraction of the population and the length of the substituted substrings is rather short.