Software birthmarks have been proposed as a method for enabling the detection of programs that may have been stolen by measuring the similarity between the two programs. A birthmark is created from each program by extracting its native characteristics. The birthmarks of the programs can then be compared. However, because the extracted birthmarks contain a large amount of information, a large amount of time is needed when using them to compare large programs. This paper describes our work to reduce this comparison time. Achieving faster comparisons will enable the evaluation of large programs and simplify the use of birthmarks. Specifically, our method creates hashes from conventional birthmark information using fuzzy hashing, and then measures the similarity of the programs using the obtained hash values. Using the proposed method, we achieved a major speed increase over the conventional birthmark method with distinction rates of over 90%. On the other hand, because preservation performance decreased substantially, the similarity threshold value needed to be lowered when using the proposed method.