Class of constructions of even variables Boolean function with optimum algebraic immunity

A second order recursive construction of even variables Boolean function with optimum algebraic immunity was proposed.It could be observed that the constructed Boolean functions have well cryptographic properties,such as good balance,high algebraic degree and high nonlinearity.Further more,it was ge...

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Main Authors: CHEN Yin-dong, LU Pei-zhong
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2009-01-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/74650855/
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author CHEN Yin-dong
LU Pei-zhong
author_facet CHEN Yin-dong
LU Pei-zhong
author_sort CHEN Yin-dong
collection DOAJ
description A second order recursive construction of even variables Boolean function with optimum algebraic immunity was proposed.It could be observed that the constructed Boolean functions have well cryptographic properties,such as good balance,high algebraic degree and high nonlinearity.Further more,it was generalized to a class of constructions for Boolean functions with optimum algebraic immunity.
format Article
id doaj-art-faac985780a4479bb2bd31f573da93f0
institution OA Journals
issn 1000-436X
language zho
publishDate 2009-01-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-faac985780a4479bb2bd31f573da93f02025-08-20T02:34:19ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2009-01-0130647074650855Class of constructions of even variables Boolean function with optimum algebraic immunityCHEN Yin-dongLU Pei-zhongA second order recursive construction of even variables Boolean function with optimum algebraic immunity was proposed.It could be observed that the constructed Boolean functions have well cryptographic properties,such as good balance,high algebraic degree and high nonlinearity.Further more,it was generalized to a class of constructions for Boolean functions with optimum algebraic immunity.http://www.joconline.com.cn/zh/article/74650855/stream cipheralgebraic attacksBoolean functionalgebraic immunity
spellingShingle CHEN Yin-dong
LU Pei-zhong
Class of constructions of even variables Boolean function with optimum algebraic immunity
Tongxin xuebao
stream cipher
algebraic attacks
Boolean function
algebraic immunity
title Class of constructions of even variables Boolean function with optimum algebraic immunity
title_full Class of constructions of even variables Boolean function with optimum algebraic immunity
title_fullStr Class of constructions of even variables Boolean function with optimum algebraic immunity
title_full_unstemmed Class of constructions of even variables Boolean function with optimum algebraic immunity
title_short Class of constructions of even variables Boolean function with optimum algebraic immunity
title_sort class of constructions of even variables boolean function with optimum algebraic immunity
topic stream cipher
algebraic attacks
Boolean function
algebraic immunity
url http://www.joconline.com.cn/zh/article/74650855/
work_keys_str_mv AT chenyindong classofconstructionsofevenvariablesbooleanfunctionwithoptimumalgebraicimmunity
AT lupeizhong classofconstructionsofevenvariablesbooleanfunctionwithoptimumalgebraicimmunity