Improved RLCE public key encryption scheme based on Polar codes

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Bibliographic Details
Title: Improved RLCE public key encryption scheme based on Polar codes
Authors: Zhe LI, Yiliang HAN, Yu LI
Source: 网络与信息安全学报, Vol 6, Pp 110-118 (2020)
Publisher Information: POSTS&TELECOM PRESS Co., LTD
Publication Year: 2020
Collection: Directory of Open Access Journals: DOAJ Articles
Subject Terms: Polar code, random linear code encryption, message padding, adaptively chosen ciphertext attacks, structural attacks, Electronic computers. Computer science, QA75.5-76.95
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.
Document Type: article in journal/newspaper
Language: English
Chinese
Relation: http://www.cjnis.com.cn/thesisDetails#10.11959/j.issn.2096-109x.2020068; https://doaj.org/toc/2096-109X; https://doaj.org/article/619dc22d02984aa98e3015c56220e652
Availability: https://doaj.org/article/619dc22d02984aa98e3015c56220e652
Accession Number: edsbas.EA06967E
Database: BASE
Description
Abstract: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.