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Math Help - t-design

  1. #1
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    t-design

    I want to show that if the t-design 3-(v,6,1), that is the Steinersystem S(3,6,v), exist then v \equiv_{20} 2 or v \equiv_{20}6.

    My first step is to calculate b_{i} = \lambda \frac{\left(\begin{array}{cc}v-i\\t-i\end{array}\right)}{\left(\begin{array}{cc}k-i\\t-i\end{array}\right)} \forall     0\leq i \leq3

    How can I use these numbers to show that v \equiv 2 or 6 mod 20?

    Thanks
    Last edited by bram kierkels; June 2nd 2010 at 02:48 PM.
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  2. #2
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    Quote Originally Posted by bram kierkels View Post
    I want to show that if the t-design 3-(v,6,1), that is the Steinersystem S(3,6,v), exist then v \equiv_{20} 2 or v \equiv_{20}6.

    My first step is to calculate b_{i} = \lambda \frac{\left(\begin{array}{cc}v-i\\t-i\end{array}\right)}{\left(\begin{array}{cc}k-i\\t-i\end{array}\right)} \forall     0\leq i \leq3

    How can I use these numbers to show that v \equiv 2 or 6 mod 20?

    Thanks
    Questions like these have close to zero chance of being answered because you don't give definitions for the different terms you are using, and clearly what you are discussing requires very specific domain knowledge.

    For a better chance at receiving an answer, make sure you define the terms you use or at the very least point to a website with complete definitions of all the terms you use.
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  3. #3
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    Quote Originally Posted by gmatt View Post
    Questions like these have close to zero chance of being answered because you don't give definitions for the different terms you are using, and clearly what you are discussing requires very specific domain knowledge.

    For a better chance at receiving an answer, make sure you define the terms you use or at the very least point to a website with complete definitions of all the terms you use.
    If I give exact definitions for the terms you still need very specific domain knowledge. So either you know what a t-design and a Steinersystem is, or you don't. Otherwise I have to include a complete chapter on Steinersystems with all her theorems and definitions.
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  4. #4
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    Quote Originally Posted by bram kierkels View Post
    If I give exact definitions for the terms you still need very specific domain knowledge. So either you know what a t-design and a Steinersystem is, or you don't. Otherwise I have to include a complete chapter on Steinersystems with all her theorems and definitions.
    Fair enough, its worth a try I guess. Though, there are some pretty bright people on these forums and if you give some definitions it may just improve your chances.
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