Cyclic Difference Sets - by Kris Coolsaet

前に巡回差集合、完全差集合について確認するために参照したサイトを確認していると、そこそこ文量があり、一気に読めそうになかった。

目次がなく、読みたいページにすぐにたどり着くことができないので、目次代わりのリンク集を作っておく。内容はまだ読んでいないのでわからない（前回参照したところは3.のCyclic difference setsである）。

実際には章番号はついていないが、ここでは便宜上つけている。各リンクの後にあるのは小見出し的な箇所。


Cyclic Difference Sets - by Kris Coolsaet
　　Preface

1. Weird coloured necklaces
What is happening?
Do these necklaces have any use?
2. Necklaces and numbers
Difference tables
3. Cyclic difference sets
Sorry, could you repeat that?
Short necklaces
4. New sets for old: Shifts
Shifts have remarkable properties
5. Is this geometry?
What has all this to do with CDSs?
How about an example?
6. Is this any help?
No, nothing in mathematics is as simple as it looks.
7. Affine and semi-affine planes
Finite affine planes
Some examples
Semi-affine planes
8. And now for something completely different
Modular arithmetic
9. Modular arithmetic and semi-affine planes
An example might make this more clear
10. Fibonacci turns up everywhere
Hm ... three, eight, ... sounds familiar!
Great! And now we do the same with q=5,7,11... Right?
11. Fibonacci's nephews
Other nephews of Fibonacci
Which nephew for which prime?
12. How to make perfect CDSs
Meet the rest of the family!
13. Projective planes
Defining axioms
Coordinates
14. Other CDSs
A semi-affine CDS of order 4.
A semi-affine CDS of order 9.
A semi-affine CDS of order 8.
A perfect CDS of size 5 (order q=4).
A perfect CDS of size 9 (order q=8=p^3 with p=2).
15. New sets for old: multipliers
Multipliers
Using `runs' to construct CDSs
16. Golomb rulers
Golomb rulers and CDSs