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Results tagged with sidon-sets
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user 8008
3
votes
Accepted
Recovering Sidon sets from difference sets
If $A$ is a Sidon set in $\mathbb{Z}/n\mathbb{Z}$ and $|A|=m$ then $A-A$ has $m^2+m+1$ members including $0.$ For $\lambda$ co-prime to $n$, $B=\lambda A$ is also a Sidon set and $B-B=\lambda(A-A).$ …
- 30.1k
2
votes
Accepted
Recovering Sidon sets from difference sets, part 2.
N0. It is NOT the case that it is true in general. It is true for all cases with both $m \le 5$ and prime $n \lt 100$. It is also true for $m=6$ and $n = 31$. But actually it is false ( for $m=6$) o …
- 30.1k
3
votes
Size of sets with complete double
Note that any solution will be of the form $S=\{0,1,s_2,\cdots,s_j,n-1,n\}$ and then $S'=\{0,1,n-s_j,\cdots,n-s_2,n-s_1,n-1,n\}$ is also a solution. If $S=S'$ one might call it a symmetric solution. …
- 30.1k