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Catalano, Dario and Fiore, Dario and Nizzardo, Luca (2017). Homomorphic signatures with sublinear public keys via asymmetric programmable hash functions. "Design Codes and Cryptography" ; pp. 1-50. ISSN 0925-1022. https://doi.org/10.1007/s10623-017-0444-3.
Title: | Homomorphic signatures with sublinear public keys via asymmetric programmable hash functions |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Design Codes and Cryptography |
Date: | December 2017 |
ISSN: | 0925-1022 |
Subjects: | |
Freetext Keywords: | Public-Key Cryptography; Programmable Hash Functions; Digital Signatures; Homomorphic Signatures |
Faculty: | E.T.S. de Ingenieros Informáticos (UPM) |
Department: | Otro |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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We introduce the notion of asymmetric programmable hash functions (APHFs, for short), which adapts Programmable hash functions, introduced by Hofheinz and Kiltz (Crypto 2008, Springer, 2008), with two main differences. First, an APHF works over bilinear groups, and it is asymmetric in the sense that, while only secretly computable, it admits an isomorphic copy which is publicly computable. Second, in addition to the usual programmability, APHFs may have an alternative property that we call programmable pseudorandomness. In a nutshell, this property states that it is possible to embed a pseudorandom value as part of the function?s output, akin to a random oracle. In spite of the apparent limitation of being only secretly computable, APHFs turn out to be surprisingly powerful objects. We show that they can be used to generically implement both regular and linearly-homomorphic signature schemes in a simple and elegant way. More importantly, when instantiating these generic constructions with our concrete realizations of APHFs, we obtain: (1) the first linearly-homomorphic signature (in the standard model) whose public key is sub-linear in both the dataset size and the dimension of the signed vectors; (2) short signatures (in the standard model) whose public key is shorter than those by Hofheinz?Jager?Kiltz (Asiacrypt 2011, Springer, 2011) and essentially the same as those by Yamada et al. (CT-RSA 2012, Springer, 2012).
Item ID: | 49519 |
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DC Identifier: | https://oa.upm.es/49519/ |
OAI Identifier: | oai:oa.upm.es:49519 |
DOI: | 10.1007/s10623-017-0444-3 |
Official URL: | https://link.springer.com/article/10.1007/s10623-0... |
Deposited by: | Memoria Investigacion |
Deposited on: | 16 Mar 2018 09:38 |
Last Modified: | 30 Nov 2022 09:00 |