Equivalence for generalized Boolean functions

Name: Equivalence for generalized Boolean functions
Author: Çeşmelioǧlu, Ayça

İsim	Equivalence for generalized Boolean functions
Yazar	Çeşmelioǧlu, Ayça
Basım Tarihi:	2023-03
Basım Yeri	- American Institute of Mathematical Sciences
Konu	CCZ-equivalence, EA-equivalence, Generalized Boolean function, Bent function, Generalized bent function, Zpk-bent function
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	1930-5346
Kayıt Numarası	f7b50b8a-8115-4898-bba1-c6a025be934e
Lokasyon	Natural and Mathematical Sciences
Tarih	2023-03
Notlar	Austrian Science Fund (FWF)
Örnek Metin	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 .

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Equivalence for generalized Boolean functions

Yazar Çeşmelioǧlu, Ayça

Basım Tarihi 2023-03

Basım Yeri - American Institute of Mathematical Sciences

Konu CCZ-equivalence, EA-equivalence, Generalized Boolean function, Bent function, Generalized bent function, Zpk-bent function

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 1930-5346

Kayıt Numarası f7b50b8a-8115-4898-bba1-c6a025be934e

Lokasyon Natural and Mathematical Sciences

Tarih 2023-03

Notlar Austrian Science Fund (FWF)

Örnek Metin 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 .