| Issue |
MATEC Web of Conferences
Volume 61, 2016
The International Seminar on Applied Physics, Optoelectronics and Photonics (APOP 2016)
|
|
|---|---|---|
| Article Number | 03005 | |
| Number of page(s) | 5 | |
| Section | Chapter 3 Information Security and Computer Science | |
| DOI | https://doi.org/10.1051/matecconf/20166103005 | |
| Published online | 28 June 2016 | |
The Nonlinearity of Sum and Product for Boolean Functions
School of Electrical Engineering, Northwest University for Nationalities, Lanzhou, 730030, China
a Huang Jinglian: huangjlstudy@163.com
In this paper, we study the relationship between the nonlinearity of Boolean function and the nonlinearity of the sum and product of Boolean function, while derivative and e-derivative are used to study the problem further. We obtain that the sum of two functions’ nonlinearity is not less than the nonlinearity of the sum of two functions. The relationship between the nonlinearity of function and the nonlinearity of the sum and product of two functions are also obtained. Furthermore, we also get the relationship between the nonlinearity of the product of functions, and the derivative and e-derivative of function. Moreover, we also deduced some important applications on the basis of the above work.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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