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Results tagged with combinatorial-designs
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user 6950
Design theory is the subfield of combinatorics concerning the existence and construction of highly symmetric arrangements. Finite projective planes, latin squares, and Steiner triple systems are examples of designs.
12
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1
answer
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Which Steiner systems come from algebraic geometry?
This question is motivated by the ongoing discussion under my answer to this question. I wrote the following there:
A $(p, q, r)$ Steiner system is a collection of $q$-element subsets $A$ (called …
- 23k
4
votes
1
answer
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Solving a Diophantine equation related to Algebraic Geometry, Steiner systems and $q$-binomi...
The short version of my question is:
1)For which positive integers $k, n$ is there a solution to the equation $$k(6k+1)=1+q+q^2+\cdots+q^n$$ with $q$ a prime power?
2) For which positive inte …
- 23k