Problems on Two-Dimensional Synchronization Patterns
IWCC '09 Proceedings of the 2nd International Workshop on Coding and Cryptology
Two-dimensional patterns with distinct differences: constructions, bounds, and maximal anticodes
IEEE Transactions on Information Theory
| Hi-index | 754.90 |
A correspondence between two-dimensional Golomb rectangles and one-dimensional 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, rectangles, and higher dimensional arrays are given