[PDF] Top 20 Cryptanalysis of a (Somewhat) Additively Homomorphic Encryption Scheme Used in PIR

... privacy. Encryption of data at rest is a first step towards the protection of user data in such a ...fully homomorphic encryption [Gen09], cloud servers can continue to provide services to users ... See full document

... a somewhat, leveled or Fully Homomorphic Encryption (FHE) scheme [1–7,10, 11, 13–16, 19, 23, 26] without knowledge of neither the plaintext data or the secret key used in ... See full document

... fully homomorphic encryption is not practical yet, many constructions have been proposed recently, achieving a somewhat homomorphic encryption (SHE) ... See full document

... In theory, IND-CPA security may be enough for us to construct cryptographic protocols, in particular if we assume semi-honest attackers. However, key recovery attacks will pose serious threat for practical usage of SHE ... See full document

... of homomorphic tallying [12] is applicable when the counting function used in an election can be efficiently evaluated on encrypted ...the homomorphic properties of the ...fully homomorphic ... See full document

... for Somewhat Homomorphic Encryption (SHE) schemes have come in the context of the ring based schemes such as BGV ...original scheme [7] by Smart and Vercauteren [17], but then extended to the ... See full document

... fully homomorphic encryption scheme with a small cipher ex- pansion that is suitable for practical applications in distributed networks of computers, including IoTs, blockchains and cloud ...The ... See full document

... Group Homomorphic Encryption (GHE), formally defined by Armknecht, Katzenbeisser and Peter, is a public-key encryption primitive where the decryption algorithm is a group ...suports ... See full document

... FHE scheme. Then the FHE scheme is used for encryption and ...FHE scheme with a (public-key) GHE scheme, we obtain an identity-based GHE scheme ...GHE scheme for ... See full document

... Homomorphic encryption schemes have been used to build a variety of higher level security ...of homomorphic encryption and MPC techniques to realize key signal processing operations ... See full document

... leveled homomorphic encryption scheme based on the basic encryption scheme described in section 3 and homomorphic property described in section ...leveled homomorphic ... See full document

... encoding scheme with a lattice-based scheme like Regev encryption, differs from [GGPR13] and introduces some technicalities, first in the verification step of the protocol, and secondly in the proof ... See full document

... be used to lower the noise in a ciphertext to a fixed level determined by the complexity of the decryption ...by homomorphic multiplication has been the major obstacle to designing efficient ...each ... See full document

... been used in other contexts, for example, initially in secure two-party computation (2PC) [22, 36, 14, 8, 62] and multi-party computation (MPC) [20, 12, 40], and more recently in private information retrieval ... See full document

... The encryption component of OKH is similar to the ECB mode, with exception that the keys to the underlying blockcipher are K e ⊕ ( N ||i ) ( i = 1 , · · · , l ), which are all related by the key K e ...be ... See full document

... PAHE scheme used in GAZELLE is dramatically more efficient than conventional Paillier based ...AHE. Homomorphic addition of two Paillier ciphertexts corresponds to a modular multiplication modulo a ... See full document

... on additively homomorphic Paillier encryption, that was claimed to protect both the users’ location privacy and the service provider’s database ...Paillier encryption which do not suffer from ... See full document

... Data encryption, Homomorphic Encryption, Secret Sharing algorithms and Private Information Retrieval (PIR) are the techniques widely used for secure data ... See full document

... broadcast encryption (BE) is widely studied and ...BE scheme is much efficient in terms of storage and com- ...BE scheme is widely used in many applications, such as TV services [2], Cloud ... See full document

... is used to insert information to a limited number of classes (each spoken by some particular yield neuron), the enactment work in the final layer is usually a soft maximum work ... See full document