Interrelation Between the Class of Bent-Sequences and the Class of Perfect Binary Arrays

Артем Викторович Соколов · 2019

The paper is devoted to the research of the interrelation between classes of such perfect algebraic constructions as perfect binary arrays and bentsequences.The algebraic normal form of bent-sequences of length 16 n  that generate perfect binary arrays of order 4 N  , are presented.The exact number of perfect binary arrays in the full set of bent-sequences of length 64 n  is found.The lower bound of cardinality of the full class of perfect binary arrays of order 8 N  is improved.

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