Geodesic
Bent functions from a finite abelian group into a finite abelian group
Diskretnaya Matematika, Tome 14 (2002) no. 1, pp. 99-113.

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We introduce the notions of an absolutely non-homomorphic function, a minimal function (farthest from homomorphisms) and a bent function, and prove that the class of bent functions coincides with the class of absolutely non-homomorphic functions, a function is uniquely determined by the distances to homomorphisms with shifts, and that in the primary case the bent functions are absolutely minimal. 
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V. I. Solodovnikov. Bent functions from a finite abelian group into a finite abelian group. Diskretnaya Matematika, Tome 14 (2002) no. 1, pp. 99-113. http://geodesic.mathdoc.fr/item/DM_2002_14_1_a7/

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