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- W1589594311 abstract "In this paper, we consider the characterization of the bentness of quadratic Boolean functions of the form $f(x)=sum_{i=1}^{frac{m}{2}-1} Tr^n_1(c_ix^{1+2^{ei}})+ Tr_1^{n/2}(c_{m/2}x^{1+2^{n/2}}) ,$ where $n=me$, $m$ is even and $c_iin GF(2^e)$. For a general $m$, it is difficult to determine the bentness of these functions. We present the bentness of quadratic Boolean function for two cases: $m=2^vp^r$ and $m=2^vpq$, where $p$ and $q$ are two distinct primes. Further, we give the enumeration of quadratic bent functions for the case $m=2^vpq$." @default.
- W1589594311 created "2016-06-24" @default.
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- W1589594311 date "2013-08-13" @default.
- W1589594311 modified "2023-09-27" @default.
- W1589594311 title "Effective Construction of a Class of Bent Quadratic Boolean Functions" @default.
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