Method of fast construction of M-sequence feedback functions with polynomial representation

The construction of M-sequence feedback functions has always been a hotspot in the theory of stream cipher.Based on the structural properties of the M-sequence feedback function constructed by the m-sequence,the method of fast construction of a class M-sequence feedback functions was proposed by com...

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Main Authors: Jie GUAN, Congwei ZHOU
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2018-04-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018060/
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author Jie GUAN
Congwei ZHOU
author_facet Jie GUAN
Congwei ZHOU
author_sort Jie GUAN
collection DOAJ
description The construction of M-sequence feedback functions has always been a hotspot in the theory of stream cipher.Based on the structural properties of the M-sequence feedback function constructed by the m-sequence,the method of fast construction of a class M-sequence feedback functions was proposed by combining the function transformation and function derivative.Meanwhile,polynomial representation,amount and weight property of the class M-sequence feedback functions were considered.
format Article
id doaj-art-18a4b6fd2fba4ab397d873abd3657c94
institution Kabale University
issn 1000-436X
language zho
publishDate 2018-04-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-18a4b6fd2fba4ab397d873abd3657c942025-01-14T07:14:34ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2018-04-0139849059717578Method of fast construction of M-sequence feedback functions with polynomial representationJie GUANCongwei ZHOUThe construction of M-sequence feedback functions has always been a hotspot in the theory of stream cipher.Based on the structural properties of the M-sequence feedback function constructed by the m-sequence,the method of fast construction of a class M-sequence feedback functions was proposed by combining the function transformation and function derivative.Meanwhile,polynomial representation,amount and weight property of the class M-sequence feedback functions were considered.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018060/M-sequence feedback functionpolynomial representationfunction transformationfunction derivative
spellingShingle Jie GUAN
Congwei ZHOU
Method of fast construction of M-sequence feedback functions with polynomial representation
Tongxin xuebao
M-sequence feedback function
polynomial representation
function transformation
function derivative
title Method of fast construction of M-sequence feedback functions with polynomial representation
title_full Method of fast construction of M-sequence feedback functions with polynomial representation
title_fullStr Method of fast construction of M-sequence feedback functions with polynomial representation
title_full_unstemmed Method of fast construction of M-sequence feedback functions with polynomial representation
title_short Method of fast construction of M-sequence feedback functions with polynomial representation
title_sort method of fast construction of m sequence feedback functions with polynomial representation
topic M-sequence feedback function
polynomial representation
function transformation
function derivative
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018060/
work_keys_str_mv AT jieguan methodoffastconstructionofmsequencefeedbackfunctionswithpolynomialrepresentation
AT congweizhou methodoffastconstructionofmsequencefeedbackfunctionswithpolynomialrepresentation