Geodesic
Properties of $p$-ary bent functions that are at minimal distance from each other
Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 39-43

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It is proved that, in the case of prime $p$, the minimal Hamming distance between distinct $p$-ary bent functions in $2n$ variables is equal to $p^n$. It is shown that for $p>2$ the number of $p$-ary bent functions being on the minimal distance from a quadratic bent function is equal to $p^n(p^{n-1}+1)\cdots(p+1)(p-1)$.
Keywords: bent function, Hamming distance, quadratic form. 
@article{PDMA_2015_8_a15,
     author = {V. N. Potapov},
     title = {Properties of $p$-ary bent functions that are at minimal distance from each other},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {39--43},
     publisher = {mathdoc},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2015_8_a15/}
}
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V. N. Potapov. Properties of $p$-ary bent functions that are at minimal distance from each other. Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 39-43. http://geodesic.mathdoc.fr/item/PDMA_2015_8_a15/