Constructing Odd-Variable Rotation Symmetric Boolean Functions with Optimal Algebraic Immunity and High Nonlinearity?

• 作者: HAN Gang LI Xiangxue ZHAO Qinglan ZHENG Dong
• 来源期刊: 中国电子杂志（英文版）
• 年，卷（期）: 2019,（1）
• 页码范围: 45-51
• 页数: 7页
• 语种: 英文
• DOI: 10.1049/cje.2018.01.009

摘要

Rotation symmetric Boolean functions (RSBFs) have attracted widespread attention due to their good cryptographic properties. We present a new construction of RSBFs with optimal algebraic immunity on odd number of variables. The nonlinearity of the new function is much higher than other best known RSBFs with optimal algebraic immunity. The algebraic degree of the constructed n-variable RSBF can achieve the upper bound n?1 when n/2 is odd or when n/2 is a power of 2 for n≥11. In addition, the constructed function can possess almost perfect immunity to fast algebraic attacks for n=11, 13, 15.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	ZHAO Qinglan		1	0	0.0	0.0
2	HAN Gang		1	0	0.0	0.0
3	ZHENG Dong		1	0	0.0	0.0
4	LI Xiangxue		1	0	0.0	0.0