A Characterization of Binary Bent Functions

✍ Scribed by Claude Carlet; Philippe Guillot

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 325 KB
• Volume: 76
• Category: Article
• ISSN: 0097-3165
• DOI: 10.1006/jcta.1996.0110

✦ Synopsis

A recent paper by Carlet introduces a general class of binary bent functions on (GF(2)) n (n even) whose elements are expressed by means of characteristic functions (indicators) of (nÂ2)-dimensional vector-subspaces of (GF(2)) n . An extended version of this class is introduced in the same paper; it is conjectured that this version is equal to the whole class of bent functions. In the present paper, we prove that this conjecture is true.