{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,12,18]],"date-time":"2023-12-18T15:57:50Z","timestamp":1702915070536},"reference-count":42,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,4]]},"abstract":"<jats:p>This paper proposes a new technique for generating random-looking binary digits based on an irregularly decimated chaotic map. We present a class of irregularly decimated chaos-based keystream generators, related to the shrinking generator, for the generation of binary sequences. Each generator consists of two subsystems: a control subsystem and a generating subsystem, where each subsystem is based on a single chaotic map. This chaotic map is presented as a 1-D piecewise chaotic map related to the chaotic logistic map. We conduct an analysis of the dynamical behavior of the proposed map to integrate it as a component in the proposed generators subsystems. The output bits of these keystream generators are produced by applying a threshold function to convert the floating-point iterates of the irregularly decimated map into a binary form. The generated keystream bits are demonstrated to exhibit high level of security, long period length, high linear complexity measure and random-like properties at given certain parameter values. Standard statistical tests on the proposed generators, as well as other keystream generators, are performed and compared.<\/jats:p>","DOI":"10.1142\/s0218127409023573","type":"journal-article","created":{"date-parts":[[2009,8,17]],"date-time":"2009-08-17T09:02:26Z","timestamp":1250499746000},"page":"1169-1183","source":"Crossref","is-referenced-by-count":20,"title":["IRREGULARLY DECIMATED CHAOTIC MAP(S) FOR BINARY DIGITS GENERATIONS"],"prefix":"10.1142","volume":"19","author":[{"given":"ALI","family":"KANSO","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, Kuwait University, P. O. Box 5969, Safat 13060, Kuwait"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"NEJIB","family":"SMAOUI","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Kuwait University, P. O. 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