Interrelation between the class of bent-sequences and the class of perfect binary arrays

Abstract

t. 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.