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- W2489375567 abstract "We consider a family, $mathcal{F}$, of subsets of an $n$-set such that the cardinality of the symmetric difference of any two elements $F,F'inmathcal{F}$ is not a multiple of 4. We prove that the maximal size of $mathcal{F}$ is bounded by $2n$, unless $nequiv{}3mod4$ when it is bounded by $2n+2$. Our method uses cubic forms on $mathbb{F}_2^n$ and the Hurwitz-Radon theory of square identities. We also apply this theory to obtain some information about boolean cubic forms and so-called additive quadruples." @default.
- W2489375567 created "2016-08-23" @default.
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- W2489375567 date "2013-04-03" @default.
- W2489375567 modified "2023-09-27" @default.
- W2489375567 title "Extremal set theory, cubic forms on $mathbb{F}_2^n$ and Hurwitz square identities" @default.
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