Construction of Some Sequences with Zero Autocorrelation Function

Christos Koukouvinos1
1Department of Mathematics National Technical University of Athens Zografou 157 73, Athens Greece

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.