On arithmetic autocorrelation of $ p $ -ary $ m $ -sequences
Xiaoyan Jing, Zhixiong Chen, Keqin Feng · Advances in Mathematics of Communications · 2025
Arithmetic autocorrelation is a pseudorandom measure of periodic sequences generated by the feedback with carry shift registers. In this work, we develop a formula for calculating the arithmetic auto-correlation of $ p $-ary $ m $-sequences, which extends the results for binary case by Jing, Zhang, and Feng. We also employ the ternary $ m $-sequences to illustrate the results.