Determinants of binary circulant matrices

G. Maze, H. Parlier
International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.  
We investigate the problem of deciding whether or not determinants of binary circulant matrices (i.e. matrices with entries in either {0, 1} or {−1, 1}) can reach Hadamard's bound. We find necessary and sufficient conditions for the existence of such matrices. A direct consequence of this study relates to the existence of Barker sequences.
doi:10.1109/isit.2004.1365161 dblp:conf/isit/MazeP04 fatcat:q7gwwlbj45hznpwcd6i7gnm5vu