Construction of Some Sequences with Zero Autocorrelation Function

Abstract

It is known that if there are base sequences of lengths $m+1$, $m+1$, $m$, $m$ and $y$ is a Yang number, then there are $T$-sequences of lengths $y(2m+1)$. Base sequences of lengths $m+1$, $m+1$, $m$, $m$ form $26$, $27$, $28$ and some new decompositions into squares are constructed. $T$-sequences of lengths $61(2m+1)$ for some new decompositions into squares are also presented.