Difference between revisions of "Bent function"
Karl Jones (Talk | contribs) (Created page with "In the mathematical field of combinatorics, a '''bent function''' is a special type of Boolean function. This means it takes several inputs and gives one output, each...") |
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| − | In the [[mathematical]] field of [[combinatorics]], a '''bent function''' is a special type of Boolean function. | + | In the [[mathematical]] field of [[combinatorics]], a '''bent function''' is a special type of [[Boolean function]]. |
This means it takes several inputs and gives one output, each of which has two possible values (such as 0 and 1, or true and false). | This means it takes several inputs and gives one output, each of which has two possible values (such as 0 and 1, or true and false). | ||
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== See also == | == See also == | ||
| + | * [[Boolean function]] | ||
* [[Coding theory]] | * [[Coding theory]] | ||
* [[Combinatorial design]] | * [[Combinatorial design]] | ||
Latest revision as of 07:41, 11 November 2016
In the mathematical field of combinatorics, a bent function is a special type of Boolean function.
This means it takes several inputs and gives one output, each of which has two possible values (such as 0 and 1, or true and false).
Description
The name is figurative. Bent functions are so called because they are as different as possible from all linear and affine functions, the simplest or "straight" functions. This makes the bent functions naturally hard to approximate.
Bent functions were defined and named in the 1960s by Oscar Rothaus in research not published until 1976. They have been extensively studied for their applications in cryptography, but have also been applied to spread spectrum, coding theory, and combinatorial design.
The definition can be extended in several ways, leading to different classes of generalized bent functions that share many of the useful properties of the original.
See also
External links
- Bent function @ Wikipedia
