Computing Blindfolded: New Developments in Fully Homomorphic Encryption

Vaikuntanathan, Vinod

doi:10.1109/focs.2011.98

Cited by 92 publications

(60 citation statements)

References 49 publications

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“…As we saw before, a key property of FHE is the compactness of the ciphertext [7,8,14,6]. We recall that a ciphertext c f is compact if its size, after homomorphic evaluation, does not depend on the number of inputs t and it is also independent of the circuit C. This means that we want that the ciphertext c f has the same size of the output c of Encrypt.…”

Section: Encrypt Vs Evaluatementioning

confidence: 99%

Some security bounds for the key sizes of DGHV scheme

Marinelli¹,

Aragona²,

Marcolla³

et al. 2014

AAECC

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The correctness in decrypting a ciphertext after some operations in the DGVH scheme depends heavily on the dimension of the secret key. In this paper we compute two bounds on the size of the secret key for the DGHV scheme to decrypt correctly a ciphertext after a fixed number of additions and a fixed number of multiplication. Moreover we improve the original bound on the dimension of the secret key for a general circuit.

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Section: Encrypt Vs Evaluatementioning

confidence: 99%

Some security bounds for the key sizes of DGHV scheme

Marinelli¹,

Aragona²,

Marcolla³

et al. 2014

AAECC

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“…Here, squashing means transforming SWHE scheme into one with same homomorphic capacity but with simpler Decrypt function [14]. The cost of the squashing method is that the key grows larger and more complicated.…”

Section: International Journal Of Computer Applications (0975 -8887) mentioning

confidence: 99%

A Secured Homomorphic Encryption Technique in Cloud Computing

Kamble¹,

Hiwarkar²,

Bachhav³

2017

IJCA

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Cloud computing security challenges to many researchers. Priority was to focus on security which is the biggest concern of organizations moving to the cloud. Cloud computing help in costs optimization, easy maintenance and re-provisioning of resources, and so the increased profits. The adoption of Cloud Computing applies only if the security is ensured. How to guaranty a better data security and also how can we keep the client private information confidential? There are two major queries that present a challenge to Cloud computing providers.When the data transferred to the Cloud we use standard encryption methods to secure the operations and the storage of the data. For processing data located on a remote server, the Cloud providers need to access the raw data. In this paper we are proposing a method to execute operations on encrypted data without decrypting them. It will yield the same results after calculations as if we have worked directly on the raw data.

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“…The encryption algorithm E () is homomorphic if given E(x) and E(y), one can obtain E (x□y) without decrypting x; y for some operation □ (+, ×...) [10].…”

Section: Definition Of Homomorphic Encryptionmentioning

confidence: 99%

Computing on Encrypted Data into the Cloud Though Fully Homomorphic Encryption

Jlilab¹,

Satori²,

Satori³

2017

TMLAI

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Securing Data in the cloud based on Fully Homomorphic Encryption (FHE) is a new and potential form of security that allows computing on encrypted data without decrypted it first. However, a practical FHE solution is not available for implementation today. In this work, we propose a platform based on open source solutions to perform data computations (addition and multiplication) on encrypted form. In addition, taking account of efficiently and the security component, the most popular partially homomorphic encryption algorithms (RSA, Paillier and ElGamal) are studied to analyze the process times of encryption, decryption and computation of each algorithm. Furthermore, to compromise between performance and security, we need to study different key sizes and different data sizes as parameters.

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Computing Blindfolded: New Developments in Fully Homomorphic Encryption

Cited by 92 publications

References 49 publications

Some security bounds for the key sizes of DGHV scheme

Some security bounds for the key sizes of DGHV scheme

A Secured Homomorphic Encryption Technique in Cloud Computing

Computing on Encrypted Data into the Cloud Though Fully Homomorphic Encryption

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