#19340: Better interface for hadamard_matrix
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       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.9
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Nathann Cohen      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/ncohen/19340     |  a5a4bbff80f2aed2a5b549d6b64f215967bc5ec7
   Dependencies:                     |     Stopgaps:
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Comment (by fredrik.johansson):

 That part of the tests amounts to approximately 0.000% of the total
 running time.

 In any case, a constant factor anywhere in the code doesn't fundamentally
 change the imbalance between testing and generating, as you suggested
 above.

 The reason testing is far slower is not a factor 2 inefficiency (or even a
 factor 6 or whatever from not using BLAS) in the matrix multiplication,
 but the fact that constructing a Hadamard matrix is only  {{{O(n^2)}}}
 while testing is {{{O(n^omega)}}}.

--
Ticket URL: <http://trac.sagemath.org/ticket/19340#comment:21>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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