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Titlebook: Sequences and their Applications; Proceedings of SETA T. Helleseth,P. V. Kumar,K. Yang Conference proceedings 2002 Springer-Verlag London

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Hyper-Cyclotomic Algebrarformed on the cyclotomic algebra in a field. The resulting algebraic structure is called .. It is shown that there exist distributive laws which connect these new operators to the ordinary operations of a field. An application of this new algebraic system to cyclic invariant sequences is provided.
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Linear Recursive Sequences over Elliptic Curvessequences obtained from these LFSR sequences. The former is called .. Properties on representation, period, and linear span of these two types of sequences are discussed. Also, the even case for the elliptic curve sequence proposed in [5] is analysed.
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On the Profile of the ,-Error Linear Complexity and the Zero Sum Property for Sequences over ,(,,) wrandom sequences. In this paper, we give a relation between the minimum decrease and the zero sum property for sequences over .(..) with period .., where . is a prime. Moreover the parity of the decrease set in case of binary sequences with period .. is shown.
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Constant Sum Implies Statistical Independence of Chaotic Sequencesnd identically distributed binary random variables which consists of two simple symmetric poperties: the . and .. The objective of this note is to show that the latter property results when the requirement of the former is replaced by an idependence requirement of real-valued random variables, as functions of a chaotic orbit.
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