In this paper, we present three results on bent functions: a construction, a restriction, and a characterization. Starting with a single bent function, in a simple but very effective way, the construction produces a large number of new bent functions in the same number of variables. The restriction
✦ LIBER ✦
On “bent” functions
✍ Scribed by O.S Rothaus
- Book ID
- 103505859
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 285 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0097-3165
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For any Boolean function f on GF(2)", we define a sequence of ranks ri(f), 1 <i <m, which are invariant under the action of the general linear group GL(m,2). If f is a cubic bent function in 2k variables, we show that when rs(f) <k, f is either obtained from a cubic bent function in 2k -2 variables,