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Non-existence results for vectorial bent functions with Dillon exponent.
- Source :
-
Discrete Applied Mathematics . Jul2022, Vol. 316, p71-74. 4p. - Publication Year :
- 2022
-
Abstract
- We prove new non-existence results for vectorial monomial Dillon type bent functions mapping the field of order 2 2 m to the field of order 2 m / 3. When m is odd and m > 3 we show that there are no such functions. When m is even we derive a condition for the bent coefficient. The latter result allows us to find examples of bent functions with m = 6 in a simple way. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BENT functions
*EXPONENTS
*FINITE fields
Subjects
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 316
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 156999335
- Full Text :
- https://doi.org/10.1016/j.dam.2022.03.028