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Pairwise Number
Question

Bingo question  I have a list of 15 numbers 1 to 15 I need 5 of them in order and a serial number to generate them to check them.
one set is 90057 the number in order chosen is (2, 14,10, 6, 3)
I know some of the method to do this using Prime number for the combinations. The prime of choice is 3001 for the number combinations and 113 for the using a pairwise combo to make the tables. I know the actual choices for 3001 and 113 could be a little higher but that would throw off the whole prime number thing.
i.e.
1 2 3 4 5
6 2 3 4 5
and so one
the formula to get the row to use is for the numbers is
1 + (k1) mod 3001
and for the order
1 +(k1) mod 113
What has me stumped is how to create the table to find the correct rows I need. How are pairwise tables generated?
All replies


I know it's a bit complicated to explain,
Simple bingo, you have a card with a serial number on it, that serial number represents your card's numbers that are calculated using a set of primes, and permutation tables, based on the numbers 115
I'm coming closer to figuring it out... I hope..

I know it's a bit complicated to explain,
Simple bingo, you have a card with a serial number on it, that serial number represents your card's numbers that are calculated using a set of primes, and permutation tables, based on the numbers 115
I'm coming closer to figuring it out... I hope..
Hi
Slightly better explanation, but, if you want help with it you will need to supply a set of examples showing calculations needed for each stage. And, the table mentioned.
Regards Les, Livingston, Scotland


If I knew all that I could do it myself.. How the table is calculated is my issue..
key 91557 the is for order and set of 11, 9, 1, 2, 14
key 93057 for 2, 3, 13,14, 9
Hi
Explain how you know that those numbers are derived from those keys please.
Regards Les, Livingston, Scotland

It's a given card number with those numbers printed, a machine can take that number and display the card. and I did some research to find a hint at how it was done, now I want to be able to take the numbers and duplicate the results.
My first thing is to find the table with row #27 that has those numbers of the first set listed in the original program. What I don't know is what the standard is for making a table with 15 entries, select 5 of them at a time and generate the whole table of numbers. that being said I think I have an idea... bbl.

It's a given card number with those numbers printed, a machine can take that number and display the card. and I did some research to find a hint at how it was done, now I want to be able to take the numbers and duplicate the results.
You can't deduce the table from a few examples. If you could do that then the whole security system of the cards would be compromised. That's why they do it like that.


the table is a math matrix of permutations, and you can I'm not a math major that know math standards to create the tables from know that standard methods.. I think I got it licked, though, thanks for the input.
Hi George，
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Cherry
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