In this paper we analyse the security of the FSR-255 cryptographic hash function. As a result of our security analysis we present preimage and second-preimage attacks. The attacks base on practical reversibility of the compression function. The complexity of preimage attack is about 211 evaluations of the compression function. The second-preimage attack has the complexity equivalent to one time evaluation of the compression function. Both of the attacks have been practically realised.
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In the paper we present the results which enable to calculate the nonlinearity of the round function with quite large dimensions, e.g. 32 x 32 bits, which are used in some block ciphers. It can be used to estimate resistance of these ciphers against linear cryptanalysis. We give the application to linear cryptanalysis of the TGR block cipher.
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