Linear property and optimal design of MARS-like cryptographic structure

A MARS-like cryptographic structure was proposed and some linear properties of this cryptographic structure were given.An optimal design method of linear transformation in MARS-like cryptographic structure was also given.Concretely, by analyzing the transfer law of a class of linear approximation wi...

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Main Authors: Nianping WANG, Lirong HONG
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2021-04-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2021068
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author Nianping WANG
Lirong HONG
author_facet Nianping WANG
Lirong HONG
author_sort Nianping WANG
collection DOAJ
description A MARS-like cryptographic structure was proposed and some linear properties of this cryptographic structure were given.An optimal design method of linear transformation in MARS-like cryptographic structure was also given.Concretely, by analyzing the transfer law of a class of linear approximation with special structure, regardless of the selected linear bijection, the existence of the linear approximation with 0 active round function in the t(1≤t≤3) round had been demonstrated.Furthermore, there was at least one with no more than 1, ⌊8t/15⌋ active round function among the 4, t(t>4)-round of linear approximation, respectively.On this basis, an optimal design method was proposed to make the lower bound of the number of active round function closer to the maximum possible value than the MARS cryptographic structure for the linear transformation in the MARS-like cryptographic structure.
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spelling doaj-art-b8d1bebf48314a4fb0193f8f49365f452025-08-20T02:09:37ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2021-04-014216917659741552Linear property and optimal design of MARS-like cryptographic structureNianping WANGLirong HONGA MARS-like cryptographic structure was proposed and some linear properties of this cryptographic structure were given.An optimal design method of linear transformation in MARS-like cryptographic structure was also given.Concretely, by analyzing the transfer law of a class of linear approximation with special structure, regardless of the selected linear bijection, the existence of the linear approximation with 0 active round function in the t(1≤t≤3) round had been demonstrated.Furthermore, there was at least one with no more than 1, ⌊8t/15⌋ active round function among the 4, t(t>4)-round of linear approximation, respectively.On this basis, an optimal design method was proposed to make the lower bound of the number of active round function closer to the maximum possible value than the MARS cryptographic structure for the linear transformation in the MARS-like cryptographic structure.http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2021068MARS-like cryptographic structure;linear approximation;active round function;linear transformation
spellingShingle Nianping WANG
Lirong HONG
Linear property and optimal design of MARS-like cryptographic structure
Tongxin xuebao
MARS-like cryptographic structure;linear approximation;active round function;linear transformation
title Linear property and optimal design of MARS-like cryptographic structure
title_full Linear property and optimal design of MARS-like cryptographic structure
title_fullStr Linear property and optimal design of MARS-like cryptographic structure
title_full_unstemmed Linear property and optimal design of MARS-like cryptographic structure
title_short Linear property and optimal design of MARS-like cryptographic structure
title_sort linear property and optimal design of mars like cryptographic structure
topic MARS-like cryptographic structure;linear approximation;active round function;linear transformation
url http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2021068
work_keys_str_mv AT nianpingwang linearpropertyandoptimaldesignofmarslikecryptographicstructure
AT lironghong linearpropertyandoptimaldesignofmarslikecryptographicstructure