Publication: Classification of Normal Sequences

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Title	Classification of Normal Sequences
Authors/Editors*	D.Z. Djokovic
Where published*	International Journal of Combinatorics
How published*	Journal
Year*	2011
Volume	2011
Number
Pages	To appear
Publisher	Hindawi Publishing Corporation
Keywords	Base sequences, normal sequences, nonperiodic autocorrelation functions, canonical form
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Abstract	Base sequences BS(m,n) are quadruples (A;B;C;D) of {+1,-1}-sequences, with A and B of length m and C and D of length n, such that the sum of their nonperiodic autocorrelation functions is a delta-function. Normal sequences NS(n) are base sequences (A;B;C;D) in BS(n,n) such that A=B. We introduce a definition of equivalence for normal sequences NS(n), and construct a canonical form. By using this canonical form, we have enumerated the equivalence classes of NS(n) for n <= 40.