On the Cross-Correlation of Golomb Costas Permutations

• Published in: IEEE transactions on information theory Vol. 70; no. 11; pp. 7848 - 7852
• Main Authors: Liu, Huaning, Winterhof, Arne
• Format: Journal Article
• Language: English
• Published: IEEE 01.11.2024
• Subjects: Costas arrays; cross-correlation; finite fields; Golomb’s construction; Mathematics; Physics; Polynomials; Postal services; Radar applications; Radon; Sonar applications; Szemerédi-Trotter theorem; Weil bound

In the most interesting case of safe prime powers q, Gómez and Winterhof showed that a subfamily of the family of Golomb Costas permutations of <inline-formula> <tex-math notation="LaTeX">\{1,2,\ldots,q-2\} </tex-math></inline-formula> of size <inline-formula>...