#16662: OA for n=1046,1059,2164,3992,3994
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       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Nathann Cohen      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/ncohen/16662     |  8fcaed066b7f110af10c6a471cbebcad370bd312
   Dependencies:  #16604             |     Stopgaps:
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Comment (by ncohen):

 Yo !

 > Seems to be the only one. If you want to write this find function that's
 also an option.

 I tried several times and it really was complicated. And required a lot of
 copy/paste.

 > But I am not sure you will ever get the `OA(10,1046)` in less than a
 minute

 Well, you need to fill the cache at first, like for all constructions.

 > A possible alternative is to write a function that checks that:
 >  - those constructions are not useless (i.e. there are no other way to
 get them)

 Why do you care so much about not having useless constructions ? It is
 good to have several ways to generate the same design. Some paths may be
 better than others, some paths may result in designs with different
 properties...

 >  - there is nothing more to build with these thwarts (this is pretty
 much what I wrote)

 The problem with that is that it is true with the current OA that Sage can
 build. Wait a bit and new one will appear that may change that.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16662#comment:17>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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