#14562: Steiner Quadruple Systems
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Reporter: ncohen | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.10
Component: combinatorics | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Nathann Cohen
Merged in: | Dependencies:
Stopgaps: |
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Wow.
This patch is scary.
Really scary.
The construction is awful, and there's not much that I could do to make
the code clear.
The point is that I do not understand the construction myself, and I did
not try either, I just wanted to implement it. And it already took
Quiiiiiiiiiiiiiite a lot of times, and headaches `:-)`
This patch implements a method that returns a Steiner Quadruple System
whenever it exists. It follows the construction from Haim Hanani in a
paper from 1960, which gives 6 differents constructions to make a large
system from a small one, and all must be used to solve all cases.
Considering that I was able to test this code until `n =`, and that all
constructions have been tested for different values of `n`, I believe that
this code is a correct counterpart of the paper itself. That's what makes
me think that there is no typo in the code anymore (I fixed one thousand
of them while writing it). So, even if it is very, very scary and unclear,
I think that it is correct... Experimentally `:-)`
Nathann
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14562>
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