Year: 1965
Type: article
Abstract: A generalized Barker sequence is a finite sequence\{a_{r}\}of complex numbers having absolute value1, and possessing a correlation functionC(\tau)satisfying the constraint|C(\tau)| \leq 1, \tau \neq 0. Classes of transformations leaving|C(\tau)|invariant are exhibited. Constructions for generalized Barker sequences of various lengths and alphabet sizes are given. Sextic Barker sequences are investigated and examples are given for all lengths through thirteen. No theoretical limit to the length of sextic sequences has been found.
Authors: S. Golomb, R. Scholtz
Institution: University of Southern California
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2010909309