中国科学院软件研究所机构知识库
Advanced  
ISCAS OpenIR  > 软件所图书馆  > 期刊论文
Title:
on the construction of cryptographically significant boolean functions using objects in projective geometry spaces
Author: Pasalic Enes ; Wei Yongzhuang
Source: IEEE Transactions on Information Theory
Issued Date: 2012
Volume: 58, Issue:10, Pages:6681-6693
Indexed Type: ei
Department: (1) University of Primorska, FAMNIT, PINT, 6000, Koper, Slovenia; (2) State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (3) Department of Communication and Information Engineering, Guilin University of Electronic Technology, Guilin 541004, China
English Abstract: Recently, several construction methods of highly nonlinear Boolean functions with relatively good algebraic properties were proposed. These approaches manage in optimizing most of the relevant cryptographic criteria, but not all of them at the same time. Usually, either the nonlinearity bounds are rather loose (though the actual nonlinearity is relatively high) or the functions do not provide a good resistance to fast algebraic cryptanalysis. In this paper, we develop a theoretical framework for using objects in suitable projective geometry spaces for construction of highly nonlinear Boolean functions. This allows us to establish tight bounds on the nonlinearity using simple counting arguments, thus avoiding rather complicated estimates of certain trace sums. Our method generates a class of almost fully optimized functions, that is the functions apart from very high nonlinearity also have the maximum algebraic degree and optimal algebraic immunity. Compared to the classes of functions proposed by Carlet and Feng, Wang , and Zeng , our functions achieve a slightly better nonlinearity which is traded-off against a little worse resistance against fast algebraic attacks. On the other hand, compared to the functions by Tang and Tu and Deng, our nonlinearity is somewhat lower, but the algebraic properties are slightly better. © 1963-2012 IEEE.
Language: 英语
WOS ID: WOS:000308965600030
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/14747
Appears in Collections:软件所图书馆_期刊论文

Files in This Item:
File Name/ File Size Content Type Version Access License
06216427.pdf(4897KB)----限制开放 联系获取全文

Recommended Citation:
Pasalic Enes,Wei Yongzhuang. on the construction of cryptographically significant boolean functions using objects in projective geometry spaces[J]. IEEE Transactions on Information Theory,2012-01-01,58(10):6681-6693.
Service
Recommend this item
Sava as my favorate item
Show this item's statistics
Export Endnote File
Google Scholar
Similar articles in Google Scholar
[Pasalic Enes]'s Articles
[Wei Yongzhuang]'s Articles
CSDL cross search
Similar articles in CSDL Cross Search
[Pasalic Enes]‘s Articles
[Wei Yongzhuang]‘s Articles
Related Copyright Policies
Null
Social Bookmarking
Add to CiteULike Add to Connotea Add to Del.icio.us Add to Digg Add to Reddit
所有评论 (0)
暂无评论
 
评注功能仅针对注册用户开放,请您登录
您对该条目有什么异议,请填写以下表单,管理员会尽快联系您。
内 容:
Email:  *
单位:
验证码:   刷新
您在IR的使用过程中有什么好的想法或者建议可以反馈给我们。
标 题:
 *
内 容:
Email:  *
验证码:   刷新

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.

 

 

Valid XHTML 1.0!
Copyright © 2007-2021  中国科学院软件研究所 - Feedback
Powered by CSpace