scholarly journals A Somewhat Homomorphic Encryption Scheme based on Multivariate Polynomial Evaluation

2019 ◽  
Author(s):  
Uddipana Dowerah ◽  
Srinivasan Krishnaswamy
Keyword(s):  
Homomorphic Encryption ◽  
Encryption Scheme ◽  
Multivariate Polynomial ◽  
Polynomial Evaluation ◽  
Somewhat Homomorphic Encryption

scholarly journals Efficient Secure Matrix Multiplication Over LWE-Based Homomorphic Encryption

2016 ◽  
Vol 67 (1) ◽  
pp. 69-83 ◽  
Author(s):  
Dung Hoang Duong ◽  
Pradeep Kumar Mishra ◽  
Masaya Yasuda
Keyword(s):  
Homomorphic Encryption ◽  
Matrix Multiplication ◽  
New Method ◽  
Inner Product ◽  
Encryption Scheme ◽  
Data Confidentiality ◽  
Computation Cost ◽  
Packing Method ◽  
Somewhat Homomorphic Encryption

Abstract Homomorphic encryption enables various calculations while preserving the data confidentiality. In this paper, we apply the somewhat homomorphic encryption scheme proposed by Brakerski and Vaikuntanathan (CRYPTO 2011) to secure matrix multiplication between two matrices. To reduce both the ciphertext size and the computation cost, we propose a new method to pack a matrix into a single ciphertexts so that it also enables efficient matrix multiplication over the packed ciphertexts. Our packing method generalizes Yasuda et al.’s methods (Security Comm. Networks 2015 and ACISP 2015), which are for secure inner product. We also implement our methods and give a comparison with previous packing methods.

Low Size Cipher Text Homomorphic Encryption Scheme for Cloud Data

2017 ◽  
Vol 4 (1) ◽  
pp. 13-20
Author(s):  
Manish M. Potey ◽  
◽  
C. A. Dhote ◽  
Deepak H. Sharma ◽  
◽  
...  
Keyword(s):  
Homomorphic Encryption ◽  
Encryption Scheme ◽  
Cloud Data ◽  
Cipher Text
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