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We propose a performance enhancement using parallelization of genetic operations that takes highly fit schemata (building-block) linkages into account. Previously, we used the problem of solving Sudoku puzzles to demonstrate the possibility of shortening processing times through the use of many-core processors for genetic computations. To increase accuracy, we proposed a genetic operation that takes building-block linkages into account. Here, in an evaluation using very difficult problems, wedoi:10.1007/s10015-012-0012-x fatcat:22h4ch77hbfl3ejwj5ux5ndsxe