Hi Nathann, 

On Apr 22, 2014, at 6:44 PM, Nathann Cohen <nathann.co...@gmail.com> wrote:

> Yoooooooooooooooooooo !!
> 
> But, of course, this design extends uniquely to a (necessarily) 2-(4n, 2n, 
> n-1) design: the blocks of this design are blocks of the old design union a 
> new point infinity and complements (in the old point set) of the blocks of 
> old design. And, any contraction is isomorphic to a Hadamard 2-design we 
> started off with. So, unsurprisingly, this family is called Hadamard 
> 3-designs. 
> 
> As you see, implementing the 3-design is trivial but we should settle down on 
> the nomenclature! 
> 
> I did not know about this construction, but the Handbook agrees with you, so 
> why not ? :-D
> 
> By the way your proof of it is very cool.
> 
> So, what do you guys think? 
> 
> Do you feel like creating a ticket and writing this patch ? I will be glad to 
> review it quickly. 
> 

Sure, I can do this if someone would help me with GIT. I have been keeping away 
from SAGE mainly for this reason!  Anyway, I created the ticket: 
http://trac.sagemath.org/ticket/16211. 

And, we still have not thought about the nomenclature... :-) May be change the 
Hadamard design to HadamardTwoDesign and implement these as 
HadamardThreeDesign? 

Also, probably, we should have a generic implementation of block design, where 
one gives us the point set, the blocks but is interested in computing 
parametric things with it; or computing the derived design and so on... (This 
is done in Designs package in GAP, so may be we should just borrow it!)  

> p/s/ Thanks Nathann for implementing the combinat.designs! I am a big fan of 
> designs and it is nice to have them in SAGE. 
> 
> Well, I am pretty glad that you noticed the changes and that you like them. 
> If you have time to review some code, there are a couple of things that are 
> still waiting on the trac server :
> 
> A straightforward one : http://trac.sagemath.org/ticket/16091
> A more interesting one : http://trac.sagemath.org/ticket/15310
> 
GIT again is the barrier! :-( 

-Kannappan. 

> (Vincent just reviewed http://trac.sagemath.org/ticket/15431 )
> 
> The second one is a very interesting recursive construction that I need to 
> add the general construction of BIBD with k=5 (which already works on my 
> computer). There will also be a need for a patch that just cleans the code in 
> between before that.
> 
> Well, this just to say that if you feel like getting your hands dirty for 
> Sage's designs... ;-)
> 
> Have fuuuuuuuuuuuun !
> 
> Nathann 
> 
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