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- W1721278014 abstract "The p-ary function f(x) mapping GF(p 4k ) to GF(p) and given by $f(x)={rm Tr}_{4k}big(ax^d+bx^2big)$ with a,b ∈ GF(p 4k ) and d = p 3k + p 2k − p k + 1 is studied with the respect to its exponential sum. In the case when either $a^{p^k(p^k+1)}neq b^{p^k+1}$ or a 2 = b d with b ≠ 0, this sum is shown to be three-valued and the values are determined. For the remaining cases, the value of the exponential sum is expressed using Jacobsthal sums of order p k + 1. Finding the values and the distribution of those sums is a long-lasting open problem." @default.
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- W1721278014 date "2010-01-01" @default.
- W1721278014 modified "2023-09-25" @default.
- W1721278014 title "Sequences, Bent Functions and Jacobsthal Sums" @default.
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- W1721278014 doi "https://doi.org/10.1007/978-3-642-15874-2_35" @default.
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