CRT Based Somewhat Homomorphic Encryption Over the Integers
Over the last decade, the demand for privacy and data confidentiality in communication and storage processes have increased exponentially. Cryptography can be the solution for this demand. However, the critical issue occurs when there is a need for computing publicly on sensitive information or dele...
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ndltd-uvic.ca-oai-dspace.library.uvic.ca-1828-60132015-04-26T17:04:18Z CRT Based Somewhat Homomorphic Encryption Over the Integers Alzahrani, Ali Saeed Gebali, Fayez Homomorphic Encryption CRT Based Over the Integers Over the last decade, the demand for privacy and data confidentiality in communication and storage processes have increased exponentially. Cryptography can be the solution for this demand. However, the critical issue occurs when there is a need for computing publicly on sensitive information or delegating computation to untrusted machines. This must be done in such a way that preserves the information privacy and accessibility. For this reason, we need an encryption algorithm that allows computation on information without revealing details about them. In 1978 Rivest, Adleman and Dertouzos raised a crucial question: can we use a special privacy homomorphism to encrypt the data and do an unlimited computations on it while it remains encrypted without the necessity of decrypting it? Researchers made extensive efforts to achieve such encryption algorithm. In this paper, we introduce the implementation of the CRT-based somewhat homomorphic encryption over the integers scheme. The main goal is to provide a proof of concept of this new and promising encryption algorithm. Graduate 2015-04-24T20:55:59Z 2015-04-24T20:55:59Z 2015 2015-04-24 Thesis http://hdl.handle.net/1828/6013 English en Available to the World Wide Web |
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English en |
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Homomorphic Encryption CRT Based Over the Integers |
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Homomorphic Encryption CRT Based Over the Integers Alzahrani, Ali Saeed CRT Based Somewhat Homomorphic Encryption Over the Integers |
description |
Over the last decade, the demand for privacy and data confidentiality in communication and storage processes have increased exponentially. Cryptography can be the solution for this demand. However, the critical issue occurs when there is a need for computing publicly on sensitive information or delegating computation to untrusted machines. This must be done in such a way that preserves the information privacy and accessibility. For this reason, we need an encryption algorithm that allows computation on information without revealing details about them. In 1978 Rivest, Adleman and Dertouzos raised a crucial question: can we use a special privacy homomorphism to encrypt the data and do an unlimited computations on it while it remains encrypted without the necessity of decrypting it? Researchers made extensive efforts to achieve such encryption algorithm.
In this paper, we introduce the implementation of the CRT-based somewhat homomorphic encryption over the integers scheme. The main goal is to provide a proof of concept of this new and promising encryption algorithm. === Graduate |
author2 |
Gebali, Fayez |
author_facet |
Gebali, Fayez Alzahrani, Ali Saeed |
author |
Alzahrani, Ali Saeed |
author_sort |
Alzahrani, Ali Saeed |
title |
CRT Based Somewhat Homomorphic Encryption Over the Integers |
title_short |
CRT Based Somewhat Homomorphic Encryption Over the Integers |
title_full |
CRT Based Somewhat Homomorphic Encryption Over the Integers |
title_fullStr |
CRT Based Somewhat Homomorphic Encryption Over the Integers |
title_full_unstemmed |
CRT Based Somewhat Homomorphic Encryption Over the Integers |
title_sort |
crt based somewhat homomorphic encryption over the integers |
publishDate |
2015 |
url |
http://hdl.handle.net/1828/6013 |
work_keys_str_mv |
AT alzahranialisaeed crtbasedsomewhathomomorphicencryptionovertheintegers |
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1716801806703525888 |