#15310: Wilson's construction of Transversal Designs/Orthogonal Arrays/MOLS
-------------------------+-------------------------------------------------
Reporter: | Owner:
ncohen | Status: needs_review
Type: | Milestone: sage-6.2
enhancement | Resolution:
Priority: major | Merged in:
Component: | Reviewers:
combinatorics | Work issues:
Keywords: | Commit:
Authors: | d74341411288315f13da3d4383e515b884ba7440
Nathann Cohen | Stopgaps:
Report Upstream: N/A |
Branch: |
u/ncohen/15310 |
Dependencies: |
#15287, #15431 |
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Comment (by ncohen):
Yo !
> Actually, the product construction is what you are doing in #16227. You
can see it as a particular case of Wilson construction.
Oh. Cool, then. Must prove I am on the right path `:-D`
> I would better say not calling OA appropriately. line 79
> {{{
> elif orthogonal_array(k,n, check = False, availability = True):
> ...
> }}}
Oh. And you want to transfer the "False" answer which means "that stuff
does not exist" as an exception ? Then do you mind if we do that in the
ticket which will change "availability" to "existence" ? It would be
easier to not fix many conflicts in many patches. But it is a good idea
and it will be implemented, be sure I don't say this because I don't want
to do it. It *is* a good idea.
> > Well. No problem if "if Unknown" is equivalent to "if False".
>
> It is. You do not know your troolean algebra !?
To me it should raise an Exception. You just cannot trust these things to
do what they should.
> Make sense. I will open a ticket for that.
Thanks. Add me in Cc when you do, of course `:-)`
> No do not worry about this.
Too late `:-P`
> and please, add also the references you got from Julian Abel. I guess
that they are pretty similar.
Hmmm... Not now please, I will probably have more questions to ask him and
right now we are exchanging email about a construction of MOLS that I
cannot reproduce. I implemented quite a lot of specific constructions of
MOLS/OA during the last days. Besides #16241 #16236 and #16235 I have the
following ready :
{{{
~$ grep "^def " qd.py
def OA_from_quasi_difference_matrix(M,G,add_col=True):
def OA_from_wider_OA(OA,k):
def OA_6_20(k,n,availability=False):
def OA_7_21(k,n,availability=False):
def OA_5_22(k,n,availability=False):
def OA_7_60(k,n,availability=False):
def OA_9_24(k,n,availability=False):
def OA_6_26(k,n,availability=False):
def OA_7_28(k,n,availability=False):
def OA_6_30(k,n,availability=False):
def OA_7_33(k,n,availability=False):
def OA_6_34(k,n,availability=False):
def OA_7_35(k,n,availability=False):
def OA_10_36(k,n,availability=False):
def OA_6_38(k,n,availability=False):
def OA_7_39(k,n,availability=False):
def OA_9_40(k,n,availability=False):
def OA_10_48(k,n,availability=False):
def OA_9_40b(k,n,availability=False):
}}}
Well. Except the last 3. Those are the ones we are fighting against at the
moment `:-)`
Nathann
--
Ticket URL: <http://trac.sagemath.org/ticket/15310#comment:28>
Sage <http://www.sagemath.org>
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