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- W3134468842 abstract "We show that for infinitely many primes $p$, there exist dual functions of order $k$ over $mathbb{F}_p^n$ that cannot be approximated in $L_infty$-distance by polynomial phase functions of degree $k-1$. This answers in the negative a natural finite-field analog of a problem of Frantzikinakis on $L_infty$-approximations of dual functions over $mathbb{N}$ (a.k.a. multiple correlation sequences) by nilsequences." @default.
- W3134468842 created "2021-03-15" @default.
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- W3134468842 date "2021-01-01" @default.
- W3134468842 modified "2023-09-23" @default.
- W3134468842 title "High-entropy dual functions over finite fields and locally decodable codes" @default.
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- W3134468842 doi "https://doi.org/10.1017/fms.2021.1" @default.
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