A Generalization of the Family of $p$ -ary Decimated Sequences With Low Correlation

For an odd prime p congruent to 3 modulo 4 and an odd integer n, a new family of p-ary sequences of period N=(pⁿ-1)/2 with low correlation is proposed. The family is constructed by shifts and additions of two decimated m-sequences with the decimation ...

In this paper, the cross-correlation distribution between a p -ary m -sequence s ( t ) and its p + 1 distinct decimated sequences s ( dt + l) is derived. For an odd prime p , an even integer n , and d = p ^k + 1 with gcd( n , k ) = 1, there are p + 1 ...

In this paper, for an odd prime $p$ and an integer $n \geq 3$, a new family of $p$ -ary sequences of period ${{p^{n}-1} \over {2}}$ with low correlation is constructed. The new family is constructed by shifts and additions of two decimated sequences of ...