A high-security cryptanalysis-resistant cryptographic processing apparatus and a cryptographic processing method are provided. A Feistel common key block cipher is produced by repeatedly performing an SPN-type F-function including a nonlinear transformation part and a linear transformation part over a plurality of rounds. In each round, a linear transformation process is performed according to an F-function using a matrix determined so as to satisfy a relatively loose constraint whereby high resistance to differential attacks and/or linear attacks is achieved. The relatively loose constraint allows an increase in the number of candidates for usable matrices, and it is possible to maintain the number of active S-boxes to a sufficiently large level. This makes it possible to increase the minimum number of active S-boxes, which is one of measures indicating the degree of robustness of ciphers, and thus it is possible to realize an algorithm of encrypting data in a highly secure manner so that high resistance to attacks is achieved.