New Constructions of Asymptotically Optimal Zero/Low Ambiguity Zone Sequence Sets

Sequences exhibiting zero/low ambiguity zone (ZAZ/LAZ) properties play an important role in contemporary communication and radar systems, particularly in Integrated Sensing and Communication (ISAC), which is an emerging wireless technology by sharing the hardware and bandwidth to perform these two tasks simultaneously. By incorporating nonlinear mapping and parity adaptive factor to design novel exponential functions, this letter proposes three methods for constructing ZAZ/LAZ sequence sets with new parameters. The resulting sequences are cyclically distinct and asymptotically optimal with respect to theoretical bounds.