Titlebook: Difference Sets, Sequences and their Correlation Properties; A. Pott,P. V. Kumar,D. Jungnickel Book 1999 Springer Science+Business Media D

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Kristin Baynton,Belinda Jackson. Golay (.) introduced the . as a measure of the goodness of the sequence and conjectured an upper bound for this. His conjecture is still open. In this paper we investigate several classes of sequences coming from cyclic difference sets and determine their asymptotic merit factor.

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Euijune Kim,Younghyun John Kwon abelian group ., the parameters of a putative difference set . in . with cardinality ., whether . exists or not, a construction when . does exist, and a nonexistence proof when . does not exist. At time of publication there were some 25 entries which were open, i.e. the existence or nonexistence of

可憎

https://doi.org/10.1007/978-981-10-0300-4ive. Although the role of non-abelian groups in algebraic combinatorics and finite geometry goes back at least to Dickson (.), genuinely non-abelian difference sets have only appeared in the last few years, see Liebler and Smith (.), Smith (.).

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Michele Rostan,Massimiliano Vairae zero. Such an array is equivalent to a group developed weighing matrix. These can therefore be considered as elements in the group ring ?. for a suitable abelian group .. Using this approach, we provide a comprehensive survey of these objects, restricting our attention mostly to the one-and two-dimensional (so called cyclic and bicyclic) cases.

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Performance Indicators and Benchmarking,Hadamard and Chen families. We survey recent work which uses recursive techniques to unify these difference set families, placing particular emphasis on examples. This unified approach has also proved useful for studying semi-regular relative difference sets and for constructing new symmetric designs.

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