## Cryptology ePrint Archive: Report 2014/068

Some security bounds for the DGHV scheme

Franca Marinelli and Riccardo Aragona and Chiara Marcolla and Massimiliano Sala

Abstract: 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.

Category / Keywords: public-key cryptography / Public-key cryptography, Fully Homomorphic Encryption, Somewhat Homomorphic Encryption, DGVH scheme.

Date: received 31 Jan 2014, last revised 31 Jan 2014

Contact author: chiara marcolla at gmail com

Available format(s): PDF | BibTeX Citation

Short URL: ia.cr/2014/068

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