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All Costas arrays of size up to and including 26x26 are known. It is not known whether Costas arrays exist for all sizes. Currently, the smallest sizes for which no arrays are known are 32x32 and 33x33. ?? If I read this my conclusion would be that we know then up to 31x31. So why say whe know then up to 26x26. —Preceding unsigned comment added by 87.212.47.202 ( talk • contribs)
Thanks for the quick reaction. I have red the article again and now have a much better understanding. Thanks. —Preceding unsigned comment added by 87.212.47.202 ( talk) 18:17, 1 March 2008 (UTC)
This article begins thus:
It should say
for the appropriate value of ?????. 05:24, 4 July 2008 (UTC)
The article Welch-Costas array is very short and says little that is not already covered here. Richard Pinch ( talk) 18:51, 17 August 2008 (UTC)
Sudoku grids are very much related to Costas Arrays. Same basic concept extended to a profitable "Casual User" amusement concept. — Preceding unsigned comment added by 75.134.108.144 ( talk) 12:59, 7 February 2012 (UTC)
The section on numerical representation gives a possible (used?) short-hand method for representing only the unique "y" coordinates of each column, from left to right, and the "y" coordinate being assigned 1 at the "bottom" of the array (matrix?) and increasing upward. While these are exactly the "x" and "y" coordinates as they would normally be assigned in a Cartesian plot, this is completely counter to the way that essentially all linear algebra texts I've ever experienced assign indeces. Indices (like i or j) would be assigned row first (i) then column (j) with i=1 being the top row and j=1 being the left-most column. So the linear vector assigned on the main page as {2,1,3,4} a la Des Cartes shuold probably be assigned more appropriately {4,3,1,2} a la row/column notation. Can anyone point to a linear algebra text that doesn't use this standard row/column notation? 65.202.226.2 ( talk) 19:42, 5 March 2012 (UTC)mjd