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- W4287722969 abstract "In a 1989 paper cite{arasu2}, Arasu used an observation about multipliers to show that no $(352,27,2)$ difference set exists in any abelian group. The proof is quite short and required no computer assistance. We show that it may be applied to a wide range of parameters $(v,k,lambda)$, particularly for small values of $lambda$. With it a computer search was able to show that the Prime Power Conjecture is true up to order $2 cdot 10^{10}$, extend Hughes and Dickey's computations for $lambda=2$ and $k leq 5000$ up to $10^{10}$, and show nonexistence for many other parameters." @default.
- W4287722969 created "2022-07-26" @default.
- W4287722969 creator A5013478988 @default.
- W4287722969 date "2020-07-14" @default.
- W4287722969 modified "2023-09-23" @default.
- W4287722969 title "On difference sets with small $lambda$" @default.
- W4287722969 doi "https://doi.org/10.48550/arxiv.2007.07292" @default.
- W4287722969 hasPublicationYear "2020" @default.
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