On sequences with zero autocorrelation

Multiplication of sequences with zero autocorrelation

Near normal sequences of new lengths n = 4m + 1 = 49,53,57 are constructed. The relation between a special set of near normal sequences and Golay sequences is discussed. A reformulation of Yang's powerful theorems on T-sequences is also given. We give base sequences for lengths m + p, m p, m, m for p 1 and m E {19, ... , 30}. Some of these are new lengths, or new decompositions into four square...

Some new weighing matrices using sequences with zero autocorrelation function

We verify the skew weighing matrix conjecture for orders 2t .13, t 2:: 5, and give new results for 2t.15 proving the conjecture for t :2: 3.

Construction of infinite unimodular sequences with zero autocorrelation

Unimodular waveforms x are constructed on the integers with the property that the autocorrelation of x is one at the origin and zero elsewhere. There are three different constructions: exponentials of the form e2π in θ , sequences taken from roots of unity, and sequences constructed from the elements of real Hadamard matrices. The first is expected and elementary and the second is based on the ...

On sufficient conditions for some orthogonal designs and sequences with zero autocorrelation function

We give new sets of sequences with entries from {O, ±a, ±b, ±c, ±d} on the commuting variables a, b, c, d and zero autocorrelation function. Then we use these sequences to construct some new orthogonal designs. This means that for order 28 only the existence of the following five cases, none of which is ruled out by known theoretical results, remain in doubt: OD(28; I, 4, 9, 9), OD(28; I, 8, 8,...

Binary sequences with optimal autocorrelation