1 research outputs found
On the Cross-Correlation of a -ary m-Sequence and its Decimated Sequences by
In this paper, for an odd prime such that , odd ,
and with , the value distribution of the
exponential sum is calculated as and run through
. The sequence family in which each sequence
has the period of is also constructed. The family size of
is and the correlation magnitude is roughly upper bounded
by . The weight distribution of the relevant cyclic code
over with the length and the dimension is also derived. Our result includes the
case in \cite{Xia} as a special case