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Full-Text Articles in Physical Sciences and Mathematics
New Statistical Randomness Tests: 4-Bit Template Matching Tests, Fati̇h Sulak
New Statistical Randomness Tests: 4-Bit Template Matching Tests, Fati̇h Sulak
Turkish Journal of Mathematics
For cryptographic algorithms, secret keys should be generated randomly as the security of the system depends on the key and therefore generation of random sequences is vital. Randomness testing is done by means of statistical randomness tests. In this work, we show that the probabilities for the overlapping template matching test in the NIST test suite are only valid for a specific template and need to be recalculated for the other templates. We calculate the exact distribution for all 4-bit templates and propose new randomness tests, namely template matching tests. The new tests can be applied to any sequence of …
On The Independence Of Statistical Randomness Tests Included In The Nist Test Suite, Fati̇h Sulak, Muhi̇ddi̇n Uğuz, Onur Koçak, Ali̇ Doğanaksoy
On The Independence Of Statistical Randomness Tests Included In The Nist Test Suite, Fati̇h Sulak, Muhi̇ddi̇n Uğuz, Onur Koçak, Ali̇ Doğanaksoy
Turkish Journal of Electrical Engineering and Computer Sciences
Random numbers and random sequences are used to produce vital parts of cryptographic algorithms such as encryption keys and therefore the generation and evaluation of random sequences in terms of randomness are vital. Test suites consisting of a number of statistical randomness tests are used to detect the nonrandom characteristics of the sequences. Construction of a test suite is not an easy task. On one hand, the coverage of a suite should be wide; that is, it should compare the sequence under consideration from many different points of view with true random sequences. On the other hand, an overpopulated suite …
Mutual Correlation Of Nist Statistical Randomness Tests And Comparison Of Their Sensitivities On Transformed Sequences, Ali̇ Doğanaksoy, Fati̇h Sulak, Muhi̇ddi̇n Uğuz, Okan Şeker, Zi̇ya Akcengi̇z
Mutual Correlation Of Nist Statistical Randomness Tests And Comparison Of Their Sensitivities On Transformed Sequences, Ali̇ Doğanaksoy, Fati̇h Sulak, Muhi̇ddi̇n Uğuz, Okan Şeker, Zi̇ya Akcengi̇z
Turkish Journal of Electrical Engineering and Computer Sciences
Random sequences are widely used in many cryptographic applications and hence their generation is one of the main research areas in cryptography. Statistical randomness tests are introduced to detect the weaknesses or nonrandom characteristics that a sequence under consideration may have. In the literature, there exist various statistical randomness tests and test suites, defined as a collection of tests. An efficient test suite should consist of a number of uncorrelated statistical tests each of which measures randomness from another point of view. `Being uncorrelated' is not a well-defined or well-understood concept in the literature. In this work, we apply Pearson's …