Titlebook: Sequences and Their Applications - SETA 2014; 8th International Co Kai-Uwe Schmidt,Arne Winterhof Conference proceedings 2014 Springer Inte

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978-3-319-12324-0Springer International Publishing Switzerland 2014

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Sequences and Their Applications - SETA 2014978-3-319-12325-7Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Relationships Between CCZ and EA Equivalence Classes and Corresponding Code Invariantshe case ., to investigate two codes derived from ., inspired by these equivalences. In particular we show the dimension of the kernel of each code determines a new invariant of the corresponding equivalence class. We present computational results for . and small ..

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Characterizations of Plateaued and Bent Functions in Characteristic , directional difference and establish a link between the fourth moment and that notion. We show that this link allows to identify bent elements of particular families. Notably, we characterize bent functions of algebraic degree ..

極小

The Nonexistence of , Relative Difference Sets of order 54. In this paper, using the recent classification of all generalized Hadamard matrices of order 18 over a group of order 3 [.], we show that such relative difference sets do not exist in any non-abelian group of order 54 as well. Our results are validated computationally using the computer algebra system Magma.

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Almost Six-Phase Sequences with Perfect Periodic Autocorrelation FunctionA new family of almost six-phase sequences with perfect periodic autocorrelation function is obtained. The distinctive features of these sequences are: fairly frequent grid of periods, quasi-perfect periodic cross-correlation function, and nearly unit peak-factor.

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Kai-Uwe Schmidt,Arne WinterhofIncludes supplementary material: