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# 2 A quick start

### Sections

1. First Step: Integers instead of group elements
2. Signatures: An important tool
3. Change of coset vs. brute force

This chapter shows a quick example of how to use RDS. Some of the functions used here make choices which might not be optimal. So if you plan to do more involved computations, you should also see the other chapters to learn about the concepts behind these high-level functions.

Here we will construct relative difference sets of Dembowski-Piper type ``b'' and order 9. We will take the elementary abelian group as an example. The general idea is as follows: Find a ``nice'' normal subgroup U and generate relative difference sets coset by coset. The normal subgroup has to be chosen such that we know how many elements to choose from each coset modulo U.

The calculations here are very easy, a more demanding example can be found in chapter RDS:An Example Program.

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