  In this paper, we investigate PN-sequences with ideal autocorrelation
property and the consequences of this property on the number of +1s and -1s and
run structure of sequences. We begin by discussing and surveying about the
length of PNsequences with ideal autocorrelation property. From our discussion
and survey we introduce circulant matrix representation of PN-sequence. Through
circulant matrix representation we obtain system of non-linear equations that
lead to ideal autocorrelation property. Rewriting PN-sequence and its
autocorrelation property in {0,1} leads to a definition based on Hamming weight
and Hamming distance and hence we can easily prove some results on the
PN-sequences with ideal autocorrelation property.
