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检索条件"主题词=rotation symmetric Boolean functions"
19 条 记 录,以下是1-10 订阅
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Constructing balanced 2p-variable rotation symmetric boolean functions with optimal algebraic immunity, high nonlinearity and high algebraic degree
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DISCRETE MATHEMATICS 2025年 第8期348卷
作者: Du, Jiao Chen, Xiaoting Mao, Yongxia Gao, Qiang Wang, Tianyin Henan Normal Univ Henan Engn Lab Big Data Stat Anal & Optimal Contro Xinxiang 453007 Peoples R China Natl Univ Def Technol Coll Sci Changsha 410073 Peoples R China Luoyang Normal Univ Fac Math Sci Luoyang 471934 Peoples R China
How to design cryptographic boolean functions is a challenge work in the design of stream and block ciphers. Cryptographic criteria of boolean functions are connected with some known cryptanalytic attacks. To resist t... 详细信息
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rotation symmetric boolean functions - Count and cryptographic properties
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DISCRETE APPLIED MATHEMATICS 2008年 第10期156卷 1567-1580页
作者: Stanica, Pantelimon Maitra, Subhamoy USN Postgrad Sch Dept Appl Math GSEAS Monterey CA 93943 USA Indian Stat Inst Appl Stat Unit Kolkata 700108 India
rotation symmetric (RotS) boolean functions have been used as components of different cryptosystems. This class of boolean functions are invariant under circular translation of indices. Using Burnside's lemma it c... 详细信息
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rotation symmetric boolean functions -;Count and Cryptographic Properties
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Electronic Notes in Discrete Mathematics 2003年 15卷 139-145页
作者: Stǎnicǎ, Pantelimon Maitra, Subhamoy Department of Mathematics Auburn University Montgomery Montgomery AL 36124-4023 United States Applied Statistics Unit Indian Statistical Institute 203 Calcutta 700 108 B. T. Road India
In 1999, Pieprzyk and Qu presented rotation symmetric (RotS) functions as components in the rounds of hashing algorithm. Later, in 2002, Cusick and Stǎnicǎ presented further advancement in this area. This class of B... 详细信息
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Construction and Count of 1-Resilient rotation symmetric boolean functions on 4p Variables
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Chinese Journal of Electronics 2017年 第6期26卷 1276-1283页
作者: PANG Shanqi XU Wenju DU Jiao WANG Ying College of Mathematics and Information Science Henan Normal University
This paper studies the properties of orbit matrix and gives a formula to compute the number of these orbit matrices on 4p variables, where p is an odd prime. It has been demonstrated that the construction of 1-resilie... 详细信息
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A new construction of odd-variable rotation symmetric boolean functions with optimal algebraic immunity and higher nonlinearity
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THEORETICAL COMPUTER SCIENCE 2021年 887卷 152-163页
作者: Su, Sihong Li, Jingjing Wang, Bingxin Henan Univ Sch Math & Stat Kaifeng 475004 Peoples R China Henan Univ Henan Engn Res Ctr Artificial Intelligence Theory Kaifeng 475004 Peoples R China
rotation symmetric boolean functions are potentially rich in functions of cryptographic significance. In this paper, a new construction of odd-variable rotation symmetric boolean functions with optimal algebraic immun... 详细信息
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Constructions of rotation symmetric boolean functions satisfying almost all cryptographic criteria
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THEORETICAL COMPUTER SCIENCE 2024年 1020卷
作者: Sun, Lei Shi, Zexia Liu, Jian Fu, Fang-Wei Hebei Univ Econ & Business Sch Management Sci & Informat Engn Shijiazhuang 050061 Peoples R China Hebei Univ Econ & Business Hebei Cross Border Ecommerce Technol Innovat Ctr Shijiazhuang 050061 Peoples R China Hebei Normal Univ Sch Math Sci Shijiazhuang 050010 Peoples R China Tianjin Univ Coll Intelligence & Comp Tianjin 300350 Peoples R China Nankai Univ Chern Inst Math Tianjin 300071 Peoples R China
Constructions of boolean functions with various cryptographic properties have always been an important challenge in cryptography. This paper proposes systematic constructions of even- variable rotation symmetric Boole... 详细信息
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Generalized Walsh transforms of symmetric and rotation symmetric boolean functions are linear recurrent
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APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 2018年 第5期29卷 433-453页
作者: Castro, Francis N. Medina, Luis A. Stanica, Pantelimon Univ Puerto Rico Dept Math San Juan PR 00936 USA Naval Postgrad Sch Dept Appl Math Monterey CA 93943 USA
Exponential sums of symmetric boolean functions are linear recurrent with integer coefficients. This was first established by Cai, Green and Thierauf in the mid nineties. Consequences of this result has been used to s... 详细信息
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Balanced rotation symmetric boolean functions With Good Autocorrelation Properties
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IEEE ACCESS 2021年 9卷 67850-67858页
作者: Sun, Lei Shi, Zexia Hebei Univ Econ & Business Coll Informat Technol Shijiazhuang 050061 Hebei Peoples R China Hebei Normal Univ Sch Math Sci Shijiazhuang 050024 Hebei Peoples R China
rotation symmetric boolean functions (RSBFs) are used widely in symmetric cryptography. In this paper, a systematic construction of balanced odd-variable RSBFs satisfying strict avalanche criterion is proposed. Hence,... 详细信息
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Construction of odd-Variable rotation symmetric boolean functions with Maximum Algebraic Immunity
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IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES 2016年 第4期E99A卷 853-855页
作者: Fu, Shaojing Du, Jiao Qu, Longjiang Li, Chao Natl Univ Def Technol Coll Comp Changsha Hunan Peoples R China Beijing Univ Posts & Telecommun State Key Lab Networking & Switching Technol Beijing Peoples R China Natl Univ Def Technol Dept Math & Syst Sci Changsha Hunan Peoples R China Henan Normal Univ Coll Math & Informat Sci Xinxiang Peoples R China
rotation symmetric boolean functions (RSBFs) that are invariant under circular translation of indices have been used as components of different cryptosystems. In this paper, odd-variable balanced RSBFs with maximum al... 详细信息
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New Construction of Even-variable rotation symmetric boolean functions with Optimum Algebraic Immunity
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INTERNATIONAL JOURNAL OF SECURITY AND ITS APPLICATIONS 2014年 第1期8卷 307-318页
作者: Chen, Yindong Xiang, Hongyan Zhang, Ya-nan Shantou Univ Coll Engn Shantou 515063 Peoples R China
The rotation symmetric boolean functions which are invariant under the action of cyclic group have been used as components of different cryptosystems. In order to resist algebraic attacks, boolean functions should hav... 详细信息
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