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There are two construction methods of designs from Boolean and vectorial bent functions, known as translation and addition designs. In this paper we analyze, which equivalence relation for Boolean and vectorial bent functions is coarser: extended-affine equivalence or isomorphism of associated translation and addition designs. First, we observe that similar to the Boolean bent functions, extended-affine equivalence of vectorial bent functions and isomorphism of addition designs are the samearXiv:2003.12308v2 fatcat:2rpnfzboefcjjbhbp5vnsjoaky