Natural and Mathematical Sciences

Permanent URI for this collectionhttps://hdl.handle.net/10679/313

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Browsing by Institution Author "GÜL, Ayça Çeşmelioğlu"

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    Equivalence for generalized Boolean functions
    (American Institute of Mathematical Sciences, 2023-03) Çeşmelioǧlu, Ayça; Natural and Mathematical Sciences; GÜL, Ayça Çeşmelioğlu
    Equivalence plays a key-role for the classification of functions between elementary abelian groups V(p) n and V(p) k . One distinguishes between affine equivalence, extended affine (EA) equivalence, and the most general CCZ-equivalence. Recently, there has been an increased interest in functions from elementary abelian groups V(p) n to cyclic groups Zpk . We initiate the study of equivalence for functions from V(p) n to Zpk . We show that CCZequivalence is more general than EA-equivalence. For some classes of functions, CCZ-equivalence reduces to EA-equivalence. We show that CCZ-equivalence between two functions from V(p) n to Zpk implies CCZ-equivalence of two associated vectorial functions from V(p) n to V(p) k .