Abstract
Speed is essential in stream cipher design. In 2011, Lee and Park [5] proposed a software implementation for word-based FCSRs. The sequences generated by the FCSRs using Lee and Park’s implementation methods are half-\(\ell \)-sequences. In this paper, we investigate the imbalance properties of half-\(\ell \)-sequences. Bounds on the numbers of occurrences of one and two consecutive symbols are given. The experimental results show how tight our bound is.
This material is based upon work supported by the National Science Foundation under Grant No. CNS-1420227. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.
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Gu, T., Klapper, A. (2014). Distribution Properties of Half-\(\ell \)-Sequence. In: Schmidt, KU., Winterhof, A. (eds) Sequences and Their Applications - SETA 2014. SETA 2014. Lecture Notes in Computer Science(), vol 8865. Springer, Cham. https://doi.org/10.1007/978-3-319-12325-7_20
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DOI: https://doi.org/10.1007/978-3-319-12325-7_20
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