On the Cross-Correlation of a $p$-ary m-Sequence and its Decimated Sequences by $d=\frac{p^n+1}{p^k+1}+\frac{p^n-1}{2}$

Sung-Tai Choi, Ji-Youp Kim, Jong-Seon No

In this paper, for an odd prime $p$ such that $p\equiv 3\mathrm{mod}4$, odd $n$, and $d=(p^n+1)/(p^k+1)+(p^n-1)/2$ with $k|n$, the value distribution of the exponential sum $S(a,b)$ is c…