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- W2146376462 abstract "Let p≥7 and q=pm. Kq(a)=∑x∈FpmζTr1m(xpm−2+ax) is the Kloosterman sum of a on Fpm, where ζ=e2π−1p. The value 1−2ζ+ζ−1 of Kq(a) and its conjugate have close relationship with a class of binomial functions with Dillon exponent. This paper first presents some necessary conditions for a such that Kq(a)=1−2ζ+ζ−1. Further, we prove that if p=11, for any a, Kq(a)≠1−2ζ+ζ−1. And for p≥13, if a∈Fps and s=gcd(2,m), Kq(a)≠1−2ζ+ζ−1. In application, these results explain that some class of binomial regular bent functions does not exist." @default.
- W2146376462 created "2016-06-24" @default.
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- W2146376462 date "2016-09-01" @default.
- W2146376462 modified "2023-10-18" @default.
- W2146376462 title "Special values of Kloosterman sums and binomial bent functions" @default.
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- W2146376462 doi "https://doi.org/10.1016/j.ffa.2016.06.001" @default.
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