Beyond Binary: crosscorrelation of Quartic and Cubic Character Sequences

The arithmetic crosscorrelation of pseudorandom sequences is a fundamental measure of their suitability for applications in cryptography and communications. While prior works have studied this quantity for binary sequences, the non-binary setting has remained largely open. In this paper, we initiate a systematic study of arithmetic crosscorrelation for non-binary pseudorandom sequences constructed from higher-order multiplicative characters over finite fields. For two quartic sequences of