2011/09/29 by N. A. Carella, Carella, N. A.
Computer Science · Engineering · Mathematics · #05B10 #05B20 #11B83 #94A55 #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Wireless Communication Networks Research #graph theory and CDMA systems #math.NT #msc:05B10 #msc:05B20 #msc:11B83 #msc:94A55
paper · pdf · doi:10.48550/arxiv.1110.1322
Simpler And Improved Version, 8 Pages
openalex publication_date 2011/09/29 · arxiv created 2011/12/20 · arxiv updated 2011/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The collection of cyclic Hadamard matrices H = (ai - j) : 0 <= i, j < n, and ai = -1, 1 of order n is characterized by the orthogonality relation HHT = nI. Only two of such matrices are currently known. It will be shown that this collection consists of precisely two matrices. An application of this result implies that there are exactly seven Barker sequences over the binary set -1, 1.