Balanced2p-variable rotation symmetric Boolean functions with optimal algebraic immunity, good nonlinearity, and good algebraic degree

Xiangxue Li; Qifeng Zhou; Haifeng Qian; Yu Yu; Shaohua Tang

doi:10.1016/j.jmaa.2013.02.009

Balanced2p-variable rotation symmetric Boolean functions with optimal algebraic immunity, good nonlinearity, and good algebraic degree

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.02.009 ◽

2013 ◽

Vol 403 (1) ◽

pp. 63-71 ◽

Cited By ~ 5

Author(s):

Xiangxue Li ◽

Qifeng Zhou ◽

Haifeng Qian ◽

Yu Yu ◽

Shaohua Tang

Keyword(s):

Boolean Functions ◽

Algebraic Degree ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Constructing Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity on an Odd Number of Variables

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e95.a.1056 ◽

2012 ◽

Vol E95.A (6) ◽

pp. 1056-1064 ◽

Cited By ~ 2

Author(s):

Jie PENG ◽

Haibin KAN

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Balanced 2p-variable rotation symmetric Boolean functions with optimal algebraic immunity

Discrete Applied Mathematics ◽

10.1016/j.dam.2016.06.005 ◽

2016 ◽

Vol 215 ◽

pp. 20-30 ◽

Cited By ~ 3

Author(s):

Lei Sun ◽

Fang-Wei Fu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Balanced 2p-variable rotation symmetric Boolean functions with maximum algebraic immunity

Applied Mathematics Letters ◽

10.1016/j.aml.2011.06.004 ◽

2011 ◽

Vol 24 (12) ◽

pp. 2093-2096 ◽

Cited By ~ 8

Author(s):

Shaojing Fu ◽

Chao Li ◽

Kanta Matsuura ◽

Longjiang Qu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Several classes of even-variable 1-resilient rotation symmetric Boolean functions with high algebraic degree and nonlinearity

Discrete Mathematics ◽

10.1016/j.disc.2021.112752 ◽

2022 ◽

Vol 345 (3) ◽

pp. 112752

Author(s):

Lei Sun ◽

Zexia Shi ◽

Fang-Wei Fu

Keyword(s):

Boolean Functions ◽

Algebraic Degree ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Construction of Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity

Cryptology and Network Security - Lecture Notes in Computer Science ◽

10.1007/978-3-642-10433-6_27 ◽

2009 ◽

pp. 402-412 ◽

Cited By ~ 11

Author(s):

Shaojing Fu ◽

Chao Li ◽

Kanta Matsuura ◽

Longjiang Qu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Construction of even-variable rotation symmetric Boolean functions with maximum algebraic immunity

Science China Information Sciences ◽

10.1007/s11432-011-4350-4 ◽

2011 ◽

Vol 56 (3) ◽

pp. 1-9 ◽

Cited By ~ 5

Author(s):

ShaoJing Fu ◽

Chao Li ◽

Kanta Matsuura ◽

LongJiang Qu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Construction of odd-Variable Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e99.a.853 ◽

2016 ◽

Vol E99.A (4) ◽

pp. 853-855 ◽

Cited By ~ 7

Author(s):

Shaojing FU ◽

Jiao DU ◽

Longjiang QU ◽

Chao LI

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Constructions of balanced odd-variable rotation symmetric Boolean functions with optimal algebraic immunity and high nonlinearity

Theoretical Computer Science ◽

10.1016/j.tcs.2018.04.040 ◽

2018 ◽

Vol 738 ◽

pp. 13-24 ◽

Cited By ~ 1

Author(s):

Lei Sun ◽

Fang-Wei Fu

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

High Nonlinearity ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

A New Construction of Odd-Variable Rotation Symmetric Boolean Functions with Optimal Algebraic Immunity and Higher Nonlinearity

Theoretical Computer Science ◽

10.1016/j.tcs.2021.07.018 ◽

2021 ◽

Author(s):

Sihong Su ◽

Jingjing Li ◽

Bingxin Wang

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

New Construction ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)

Balanced rotation symmetric boolean functions with maximum algebraic immunity

IET Information Security ◽

10.1049/iet-ifs.2010.0048 ◽

2011 ◽

Vol 5 (2) ◽

pp. 93 ◽

Cited By ~ 28

Author(s):

S. Fu ◽

L. Qu ◽

C. Li ◽

B. Sun

Keyword(s):

Boolean Functions ◽

Algebraic Immunity ◽

Symmetric Boolean Functions ◽

Rotation Symmetric ◽

Rotation Symmetric Boolean Functions

Get full-text (via PubEx)