NettetOverview of the homomorphic signature scheme. Our construction builds on the signature scheme of Gentry, Peikert, and Vaikuntanathan [14], in which signatures are short vectors ˙in lattices defined modulo some large integer q. The key idea in our construction is to use short vectors ˙in (cosets of) lattices Nettetbuilding some bounded homomorphic signature is pos-sible using ideal lattices from Gentry’s fully homomor-phic encryption [1]. Zhang et al. [8] and Jing [9] sepa-rately suggested the homomorphic aggregate signature with linear homomorphism which doesn’t need to have the same secret key to combine multiple messages. Re-cently, …
Linearly Homomorphic Signatures over Binary Fields and New
NettetThe first lattice-based linearly homomorphic signature scheme over was proposed by Boneh and Freeman [ 15] in 2011, which was based on SIS problem, that is, finding a … NettetPrevious results on linearly homomorphic signatures make use of groups in which the discrete logarithm problem is hard [18, 11, 25, 4] or the RSA assumption holds [13]. In … et northants uk
Linearly Homomorphic Signatures from Lattices Request PDF
Nettetan RSA-based linearly homomorphic system [22] over the integers in the random oracle model. Boneh and Freeman [11] suggested to work over binary elds us-ing lattices. They also motivated a notion, termed weak privacy, which requires derived signatures not to leak the original dataset they were derived from. NettetIn this article, we give a digital signature by using Lindner–Peikert cryptosystem. The security of this digital signature is based on the assumptions about hardness of Ring-LWE and Ring-SIS problems, along with providing public key and signature of NettetLeveled Fully Homomorphic Signatures from Standard Lattices Daniel Wichs June 15, 2014 Abstract In a homomorphic signature scheme, a user Alice signs some large data xusing her secret signing key and stores the signed data on a server. The server can then run some computation y = g(x) on the signed data and homomorphically produce a … et not i but through christ in me lyrics