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Equivalence for generalized Boolean functions

Title	Equivalence for generalized Boolean functions
Author	Çeşmelioǧlu, Ayça
Publication Date:	2023-03
Publication Place	- American Institute of Mathematical Sciences
Subject	CCZ-equivalence, EA-equivalence, Generalized Boolean function, Bent function, Generalized bent function, Zpk-bent function
Type	Periodical
Language	English
Digital	Yes
Manuscript	No
Library:	Özyeğin University
Library Asset ID	1930-5346
Record ID	f7b50b8a-8115-4898-bba1-c6a025be934e
Library Location	Natural and Mathematical Sciences
Date	2023-03
Notes	Austrian Science Fund (FWF)
Sample Text	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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Özyeğin University

Equivalence for generalized Boolean functions

Author Çeşmelioǧlu, Ayça

Publication Date 2023-03

Publication Place - American Institute of Mathematical Sciences

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

Type Periodical

Language English

Digital Yes

Manuscript No

Library Özyeğin University

Library Asset ID 1930-5346

Record ID f7b50b8a-8115-4898-bba1-c6a025be934e

Library Location Natural and Mathematical Sciences

Date 2023-03

Notes Austrian Science Fund (FWF)

Sample Text 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 .