Some New Golomb Rectangles
Zehui Shao, Jiliu Zhou, Meilian Liang, Fangnian Lang, Xiaodong Xu · Journal of Computational and Theoretical Nanoscience · 2013
Guangxi Academy of Sciences, Nanning 530007, ChinaA Golomb rectangle is an N×M array of ones and zeros such that the differences between thepositions of every pair of ones in the rectangle, considered as vector, are distinct. Let GNM bethe maximum number of ones that can be present in an N×M Golomb rectangle. By using somecomputational techniques, many new exact values and some lower bounds for GNM are found.