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Extra resources for A statistical test suite for random and pseudorandom number generators for cryptographic applications (SuDoc C 13.10:800-22)

Example text

882605 # , ! 180598. 01, then conclude that the sequence is non-random. Otherwise, conclude that the sequence is random. 180609), the conclusion is that the sequence is random. Note that large values of χ2(obs) indicate that the tested sequence has clusters of ones. 2. 01, accept the sequence as random. 1 Test Purpose The focus of the test is the rank of disjoint sub-matrices of the entire sequence. The purpose of this test is to check for linear dependence among fixed length substrings of the original sequence.

For a random sequence, the excursions of the random walk should be near zero. For certain types of non-random sequences, the excursions of this random walk from zero will be large. 2 Function Call CumulativeSums(mode,n), where: n The length of the bit string. Additional input for the function, but supplied by the testing code: ε The sequence of bits as generated by the RNG or PRNG being tested; this exists as a global structure at the time of the function call; ε = ε1, ε2, … , εn. mode A switch for applying the test either forward through the input sequence (mode = 0) or backward through the sequence (mode = 1).

One P-value will be computed for each template. For m = 9, up to 148 P-values may be computed; for m = 10, up to 284 P-values may be computed. 133333 # , ! 344154. 01, then conclude that the sequence is non-random. Otherwise, conclude that the sequence is random. 344154), the conclusion is that the sequence is random. 01), then the sequence has irregular occurrences of the possible template patterns. 7 Input Size Recommendation The test code has been written to provide templates for m = 2, 3,…,10.

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