Classification of Normal Sequences

الملخص EN

Base sequences BS(m,n) are quadruples (A;B;C;D) of {±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 δ-function.

Normal sequences NS(n) are base sequences (A;B;C;D)∈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.