Circulant Weighing Matrices of Weight 22t

Authors

• K. T. Arasu, Wright State University - Main CampusFollow
• Ka Hin Leung, National University of Singapore
• Siu Lun Ma, National University of Singapore
• Ali Nabavi, University of Nevada Las Vegas
• D. K. Ray-Chaudhuri, The Ohio State University

Document Type

Article

Publication Date

10-1-2006

Abstract

A weighing matrix of weight k is a square matrix M with entries 0, ±  1 such that MM T = kI n . We study the case that M is a circulant and k = 22t for some positive integer t. New structural results are obtained. Based on these results, we make a complete computer search for all circulant weighing matrices of order 16.

Repository Citation

Arasu, K. T., Leung, K. H., Ma, S. L., Nabavi, A., & Ray-Chaudhuri, D. K. (2006). Circulant Weighing Matrices of Weight 22t. Designs, Codes, and Cryptography, 41 (1), 111-123.
https://corescholar.libraries.wright.edu/math/554

DOI

10.1007/s10623-006-0026-2