In this paper, we investigate PN-sequences with ideal autocorrelationproperty and the consequences of this property on the number of +1s and -1s andrun structure of sequences. We begin by discussing and surveying about thelength of PNsequences with ideal autocorrelation property. From our discussionand survey we introduce circulant matrix representation of PN-sequence. Throughcirculant matrix representation we obtain system of non-linear equations thatlead to ideal autocorrelation property. Rewriting PN-sequence and itsautocorrelation property in {0,1} leads to a definition based on Hamming weightand Hamming distance and hence we can easily prove some results on thePN-sequences with ideal autocorrelation property.
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