Research Article
On the Minimum the Sum-of-Squares Indicator of a Balanced Boolean Function
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@INPROCEEDINGS{10.1007/978-3-319-66628-0_30, author={Yu Zhou and Zepeng Zhuo}, title={On the Minimum the Sum-of-Squares Indicator of a Balanced Boolean Function}, proceedings={Communications and Networking. 11th EAI international Conference, ChinaCom 2016 Chongqing, China, September 24-26, 2016, Proceedings, Part II}, proceedings_a={CHINACOM}, year={2017}, month={10}, keywords={Boolean functions Auto-correlation distribution The sum-of-squares indicator Propagation criterion}, doi={10.1007/978-3-319-66628-0_30} }- Yu Zhou
Zepeng Zhuo
Year: 2017
On the Minimum the Sum-of-Squares Indicator of a Balanced Boolean Function
CHINACOM
Springer
DOI: 10.1007/978-3-319-66628-0_30
Abstract
Boolean functions can be used in Cryptography (especially, the global avalanche characteristics of one Boolean function is an important property in symmetric Cipher). In this paper, when an -variable balanced Boolean function satisfies the minimum the sum-of-squares indicator, we give some new properties of -variable decomposition Boolean functions. Meanwhile, we derive a new condition on the sum-of-squares indicator, if the sum-of-squares indicator of a balanced Boolean function with -variable is greater than for .
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