Improved RLCE public key encryption scheme based on Polar codes

For PolarRLCE has no semantic security and be vulnerable to adaptively chosen ciphertext attacks.Based onrandom linear code encryptionscheme,the structure of the RLCE scheme and Polar code polarization propertieswere used to make the Polar code as underlying encoding scheme,and through the method of...

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Main Authors: Zhe LI, Yiliang HAN, Yu LI
Format: Article
Language:English
Published: POSTS&TELECOM PRESS Co., LTD 2020-10-01
Series:网络与信息安全学报
Subjects:
Online Access:http://www.cjnis.com.cn/thesisDetails#10.11959/j.issn.2096-109x.2020068
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author Zhe LI
Yiliang HAN
Yu LI
author_facet Zhe LI
Yiliang HAN
Yu LI
author_sort Zhe LI
collection DOAJ
description For PolarRLCE has no semantic security and be vulnerable to adaptively chosen ciphertext attacks.Based onrandom linear code encryptionscheme,the structure of the RLCE scheme and Polar code polarization propertieswere used to make the Polar code as underlying encoding scheme,and through the method of RLCEspad message padding,a kind of improved public key encryption scheme which considers semantic security and can resistant toadaptively chosen ciphertext attacks was proposed.The improved scheme transformed the public key matrix into a system matrix and reduces the storage space of the public key.Some pre-computation for private key are estimated to reduce the storage space of private key.Through analysis,this scheme does not change the structure of PolarRLCE scheme,which can resist structural attacks against hamming quasi-cyclic codes.At the 128 bit security level,compared with HermitianRLCE scheme,GRSRLCE scheme and GoppaMcEliece scheme,the public key size of this scheme decreased by 4%,46.5% and 47.9% respectively.
format Article
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institution Kabale University
issn 2096-109X
language English
publishDate 2020-10-01
publisher POSTS&TELECOM PRESS Co., LTD
record_format Article
series 网络与信息安全学报
spelling doaj-art-619dc22d02984aa98e3015c56220e6522025-01-15T03:14:25ZengPOSTS&TELECOM PRESS Co., LTD网络与信息安全学报2096-109X2020-10-01611011859561239Improved RLCE public key encryption scheme based on Polar codesZhe LIYiliang HANYu LIFor PolarRLCE has no semantic security and be vulnerable to adaptively chosen ciphertext attacks.Based onrandom linear code encryptionscheme,the structure of the RLCE scheme and Polar code polarization propertieswere used to make the Polar code as underlying encoding scheme,and through the method of RLCEspad message padding,a kind of improved public key encryption scheme which considers semantic security and can resistant toadaptively chosen ciphertext attacks was proposed.The improved scheme transformed the public key matrix into a system matrix and reduces the storage space of the public key.Some pre-computation for private key are estimated to reduce the storage space of private key.Through analysis,this scheme does not change the structure of PolarRLCE scheme,which can resist structural attacks against hamming quasi-cyclic codes.At the 128 bit security level,compared with HermitianRLCE scheme,GRSRLCE scheme and GoppaMcEliece scheme,the public key size of this scheme decreased by 4%,46.5% and 47.9% respectively.http://www.cjnis.com.cn/thesisDetails#10.11959/j.issn.2096-109x.2020068Polar coderandom linear code encryptionmessage paddingadaptively chosen ciphertext attacksstructural attacks
spellingShingle Zhe LI
Yiliang HAN
Yu LI
Improved RLCE public key encryption scheme based on Polar codes
网络与信息安全学报
Polar code
random linear code encryption
message padding
adaptively chosen ciphertext attacks
structural attacks
title Improved RLCE public key encryption scheme based on Polar codes
title_full Improved RLCE public key encryption scheme based on Polar codes
title_fullStr Improved RLCE public key encryption scheme based on Polar codes
title_full_unstemmed Improved RLCE public key encryption scheme based on Polar codes
title_short Improved RLCE public key encryption scheme based on Polar codes
title_sort improved rlce public key encryption scheme based on polar codes
topic Polar code
random linear code encryption
message padding
adaptively chosen ciphertext attacks
structural attacks
url http://www.cjnis.com.cn/thesisDetails#10.11959/j.issn.2096-109x.2020068
work_keys_str_mv AT zheli improvedrlcepublickeyencryptionschemebasedonpolarcodes
AT yilianghan improvedrlcepublickeyencryptionschemebasedonpolarcodes
AT yuli improvedrlcepublickeyencryptionschemebasedonpolarcodes