Evaluation of TDM and ADM Construction Using SIMECK 32/64 based on Cryptographic Randomness Test

Abstract

This study aims to infer the cryptographic strength of double-block-length schemes Tandem Davies-Meyer (TDM) and Abreast Davies-Meyer (ADM) using SIMECK 32/64 with Cryptographic Randomness Test (CRT). CRT is a form of statistical randomness test that consists of SAC Test, Linear span Test, Collision Test, and Coverage Test which can be used to evaluate the collision resistance property of a hash function. The SIMECK 32/64 algorithm is applied to the TDM hash with a 32-bit block size and 64-bit key size. Both hash function constructs have IVG IVH of fixed values 0000 0000 H and hash values of 64 bits. In this study, the test ware performed for 220 trials for each test. The observed values obtained in the test were evaluated using a chi-square goodness of fit test with a significance level of 0.01 and a degree of freedom of 4 for SAC Test, Collision Test, Coverage Test and of 2 for Linear Span Test so as to produce a p-value. Hypothesis testing with significance level of 0.01 on the obtained CRT results procured the p-value $\geq$0.01, hence H 0 was accepted, it is means the hash functions being tested exhibited random mappings. On the tests performed on both hash schemes, p-value $\geq$0.01 was obtained for each test. It can be conclude that both hash function schemes passed the CRTs, therefore it can be stated that both of the hash function schemes have good collision resistance property based on the criteria of a random mapping.