#16597: Singer difference set and fix OA_9_135
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       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Vincent Delecroix  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  10c9beb0a672b3b5c628d7b206b6dbc49aae5848
  u/vdelecroix/16597                 |     Stopgaps:
   Dependencies:  #16553,#16617      |
-------------------------------------+-------------------------------------

Comment (by ncohen):

 > It is a very hard thing to compute the logarithm:
 http://en.wikipedia.org/wiki/Discrete_logarithm (it is used for
 cryptography).

 1) You are already computing a logarithm, so it is at most as hard as a
 for loop. It is only "hard" because these guys measure complexity with
 respect to `log(n)`

 2) It is "hard" to factor stuff, yet there is something "more efficient"
 that trying all integers smaller than `n` (stop at `sqrt(n)`)

 3) It is exactly because it is a useful operation that we should have a
 function for it. Of course it's not our job to implement it but perhaps we
 should have a simple way to do that in Sage ?...  `O_o`

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16597#comment:36>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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