Research on algorithms of data encryption scheme that supports homomorphic arithmetical operations

An efficient homomorphic encryption scheme called CESIL was proposed to meet the requirements of operating on encrypted data when protecting users' privacy in computing services.CESIL included key generation algorithm,encryption algorithm,decryption algorithm and calculation algorithm.In CESIL,...

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Main Authors: ANGPan Y, UIXiao-lin G, AOJing Y, INJian-cai L, IANFeng T, HANGXue-jun Z
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2015-01-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2015019/
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author ANGPan Y
UIXiao-lin G
AOJing Y
INJian-cai L
IANFeng T
HANGXue-jun Z
author_facet ANGPan Y
UIXiao-lin G
AOJing Y
INJian-cai L
IANFeng T
HANGXue-jun Z
author_sort ANGPan Y
collection DOAJ
description An efficient homomorphic encryption scheme called CESIL was proposed to meet the requirements of operating on encrypted data when protecting users' privacy in computing services.CESIL included key generation algorithm,encryption algorithm,decryption algorithm and calculation algorithm.In CESIL,a polynomial coefficient vector ring was established by defining addition and multiplication using polynomial ring; by using ideal lattice,the vector ring was partitioned into many residue classes to produce a quotient ring and its representative set; the plaintext was encrypted by mapping it to a representative and replacing the representative with another element in the same residue class.The features of operations in quotient ring ensured CESIL operate on encrypted data.Furthermore,the fast Fourier transform (FFT) algorithm was used to increase the efficiency and decrease the length of key.Theoretical analysis and experimental results show that CESIL is semantically secure,and can do addition and multiplication operations on encrypted data homomorphically in a specific scope.Comparing to some existing homomorphic encryption schemes,the CESIL runs efficiently,and has shorter length in key and ciphertext.Thus,the CESIL fits the practical applications better.
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institution Kabale University
issn 1000-436X
language zho
publishDate 2015-01-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-b555f2631e784d8e94d7cec1786dd7552025-01-14T06:45:31ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2015-01-013616717859690197Research on algorithms of data encryption scheme that supports homomorphic arithmetical operationsANGPan YUIXiao-lin GAOJing YINJian-cai LIANFeng THANGXue-jun ZAn efficient homomorphic encryption scheme called CESIL was proposed to meet the requirements of operating on encrypted data when protecting users' privacy in computing services.CESIL included key generation algorithm,encryption algorithm,decryption algorithm and calculation algorithm.In CESIL,a polynomial coefficient vector ring was established by defining addition and multiplication using polynomial ring; by using ideal lattice,the vector ring was partitioned into many residue classes to produce a quotient ring and its representative set; the plaintext was encrypted by mapping it to a representative and replacing the representative with another element in the same residue class.The features of operations in quotient ring ensured CESIL operate on encrypted data.Furthermore,the fast Fourier transform (FFT) algorithm was used to increase the efficiency and decrease the length of key.Theoretical analysis and experimental results show that CESIL is semantically secure,and can do addition and multiplication operations on encrypted data homomorphically in a specific scope.Comparing to some existing homomorphic encryption schemes,the CESIL runs efficiently,and has shorter length in key and ciphertext.Thus,the CESIL fits the practical applications better.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2015019/homomorphic encryptionprivacy-preservingideal latticerepresentativecomputing service
spellingShingle ANGPan Y
UIXiao-lin G
AOJing Y
INJian-cai L
IANFeng T
HANGXue-jun Z
Research on algorithms of data encryption scheme that supports homomorphic arithmetical operations
Tongxin xuebao
homomorphic encryption
privacy-preserving
ideal lattice
representative
computing service
title Research on algorithms of data encryption scheme that supports homomorphic arithmetical operations
title_full Research on algorithms of data encryption scheme that supports homomorphic arithmetical operations
title_fullStr Research on algorithms of data encryption scheme that supports homomorphic arithmetical operations
title_full_unstemmed Research on algorithms of data encryption scheme that supports homomorphic arithmetical operations
title_short Research on algorithms of data encryption scheme that supports homomorphic arithmetical operations
title_sort research on algorithms of data encryption scheme that supports homomorphic arithmetical operations
topic homomorphic encryption
privacy-preserving
ideal lattice
representative
computing service
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2015019/
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AT injiancail researchonalgorithmsofdataencryptionschemethatsupportshomomorphicarithmeticaloperations
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