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

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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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A New Transform Related to Distance from a Boolean Function (Extended Abstract)ty of . to the set of functions obtained from . by change of basis. This has implications for security against certain algebraic attacks. In this paper we derive the expected value and second moment (Parseval’s equation) of the .-transform, leading to a notion of .-bentness. We also develop a Poisso
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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 ..
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A Simple Construction of Almost Perfect Quinary ASK and QAM Sequencesl communication, and using those almost perfect quinary sequences, we derive almost perfect quinary sequences for quinary quadrature amplitude modulation with a correlation receiver. Those sequences are constructed from the sequences with the two-tuple balance property over a finite field with . ele
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Inflation of Perfect Arrays Over the Basic Quaternions of Size , another perfect quaternary array of size ., provided . is s prime number. Likewise, they showed that every perfect quaternary array of size ., can be inflated into another perfect quaternary array of size ., provided . is a prime number and .. Following from Arasu and de Launey’s first construction
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Families of 3D Arrays for Video Watermarkingfor application to video watermarking. The constructions are based on the composition method which uses a shift sequence to cyclically shift a commensurate “column” sequence/array. The shift sequence/array has auto and cross-hit values constrained to 1 or 2, while the column sequence/array is pseudo
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