GOLOMB RECTANGLES AS FOLDED RULERS

Authors
ROBINSON JP
Citation
Jp. Robinson, GOLOMB RECTANGLES AS FOLDED RULERS, IEEE transactions on information theory, 43(1), 1997, pp. 290-293
Citations number
7
Categorie Soggetti
Information Science & Library Science","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on information theory → ACNP
ISSN journal
00189448
Volume
43
Issue
1
Year of publication
1997
Pages
290 - 293
Database
ISI
SICI code
0018-9448(1997)43:1<290:GRAFR>2.0.ZU;2-J
Abstract
A correspondence between two-dimensional Golomb rectangles and one-dim ensional Golomb rulers is given. Results are translated from rulers to rectangles. The extension of these results to an arbitrary number of dimensions is given. A new bound is developed on the number of ones in a Golomb array of any dimension. Some new optimum Golomb squares, rec tangles, and higher dimensional arrays are given.