Abstract
Quasigroups are algebraic structures closely related to Latin squares which have many different applications. Nonlinear pseudo random sequences based on quasigroups have important applications in cryptography. The quasigroups which generate nonlinear pseudo random sequences with large periods are only found by computer statistical search until now. In this paper, we discuss the probability distribution of periods factors of quasigroups by means of Frobenius groups theory. Keywords-pseudo random sequence; quasigroup; Latin square; period factor; Frobenius group
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