1990•IEEE Transactions on Information TheoryRequires access

Two-dimensional perfect binary arrays with 64 elements

L. Bömer, M. Antweiler

Abstract

Perfect binary arrays can exist for numbers of elements that are even square numbers. Two-dimensional (2-D) perfect binary arrays are 4, 16, 36, and 144 elements are known. Perfect binary arrays with 64 elements can be constructed for three or more dimensions. Here, two-dimensional binary arrays with 64 elements are examined. The results of computer search for symmetric binary arrays with 64 elements are presented in the form of two 2-D perfect binary arrays with sizes 8*8 and 4*16. Applications of these perfect binary arrays are in 2-D synchronization, time-frequency coding, and coding loudspeaker fields.>

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Key concepts: Binary number, Binary code, Coding (social sciences), Algorithm, Binary data, Mathematics, Computer science, Loudspeaker