2 research outputs found
New Families of -ary Sequences of Period With Low Maximum Correlation Magnitude
Let be an odd prime such that and be an
odd integer. In this paper, two new families of -ary sequences of period are constructed by two decimated -ary m-sequences
and , where and . The upper bound on the
magnitude of correlation values of two sequences in the family is derived using
Weil bound. Their upper bound is derived as and the family size is 4N, which is four
times the period of the sequence.Comment: 9 page, no figure
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