Talk:Costas array: Difference between revisions

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Apparent conflict

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)

These statements are not in conflict. The first statement says we have a complete list of Costas arrays of size 26×26 or smaller. The second statement says we know at least one Costas array for each size up to 31×31, but don't know any Costas array of size 32×32. Taken together, these claims imply that we know some of the Costas arrays of size 27×27 (say), but we don't know if we have found all of them yet. Michael Slone (talk) 01:44, 1 March 2008 (UTC)[reply]

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+==Apparent conflict==
 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.
+?? If I read this my conclusion would be that we know then up to 31x31. So why say whe know then up to 26x26. {{unsigned|87.212.47.202}}
+:These statements are not in conflict.  The first statement says we have a ''complete list'' of Costas arrays of size 26×26 or smaller.  The second statement says we know ''at least one'' Costas array for each size up to 31×31, but don't know any Costas array of size 32×32.  Taken together, these claims imply that we know ''some'' of the Costas arrays of size 27×27 (say), but we don't know if we have found ''all'' of them yet. [[User:Michael Slone|Michael Slone]] ([[User talk:Michael Slone|talk]]) 01:44, 1 March 2008 (UTC)