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• W3094637923 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.
• W3094637923 created "2020-11-09" @default.
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• W3094637923 date "2020-10-28" @default.
• W3094637923 modified "2023-09-27" @default.
• W3094637923 title "High-entropy dual functions over finite fields and locally decodable codes" @default.
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