R-2 composition tests: a family of statistical randomness tests for a collection of binary sequences

Date

2019-09-01

Author

Uğuz, Muhiddin
Doğanaksoy, Ali

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In this article a family of statistical randomness tests for binary strings are introduced, based on Golomb's pseudorandomness postulate R-2 on the number of runs. The basic idea is to construct recursive formulae with computationally tenable probability distribution functions. The technique is illustrated on testing strings of 2(7), 2(8), 2(10) and 2(12) bits. Furthermore, the expected value of the number of runs with a specific length is obtained. Finally the tests are applied to several collections of strings arising from different pseudorandom number generators.

Subject Keywords

Computer Networks and Communications, Computational Theory and Mathematics, Applied Mathematics

URI

https://hdl.handle.net/11511/46752

Journal

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES

DOI

https://doi.org/10.1007/s12095-018-0334-1

Collections

Department of Mathematics, Article

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Citation Formats

M. Uğuz and A. Doğanaksoy, “R-2 composition tests: a family of statistical randomness tests for a collection of binary sequences,” CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, pp. 921–949, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46752.