Nonexistence of Generalized Bent Functions From $Z_2^n$ to $Z_m$

Abstract

Several nonexistence results on generalized bent functions $f:Z_2^n\to Z_m$ presented by using some knowledge on cyclotomic number fields and their imaginary quadratic subfields.

References in corpus (1)

• Octal Bent Generalized Boolean Functions

Cited by in corpus (4)

• On the Non-existence of certain classes of generalized bent functions
• Generalized bent functions - sufficient conditions and related constructions
• ${\mathbb{Z}}_q$-valued generalized bent functions in odd characteristics
• More characterizations of generalized bent function in odd characteristic, their dual and the gray image