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Periodic complementary binary sequences

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2 Author(s)
Bomer, L. ; Inst. for Commun. Eng., Tech. Univ. of Aachen, West Germany ; Antweiler, M.

Existence conditions and recursive construction procedures for sets of periodic complementary binary sequences are given. Relationships to sets of aperiodic complementary binary sequences and to perfect binary arrays, whose two-dimensional periodic autocorrelation function is a delta function, are noted. The connections of periodic complementary binary sequences and difference families are given. Sets of periodic complementary binary sequences, which result from computer search, are presented. A diagram showing what is currently known about the existence of periodic complementary binary sequences with P⩽12 sequences of N⩽50 elements is given

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Information Theory, IEEE Transactions on  (Volume:36 ,  Issue: 6 )