SPRING: Fast Pseudorandom Functions from Rounded Ring Products - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2014

SPRING: Fast Pseudorandom Functions from Rounded Ring Products

Abstract

Recently, Banerjee, Peikert and Rosen (EUROCRYPT 2012) proposed new theoretical pseudorandom function candidates based on "rounded products" in certain polynomial rings, which have rigorously provable security based on worst-case lattice problems. The functions also enjoy algebraic properties that make them highly parallelizable and attractive for modern applications, such as evaluation under homomorphic encryption schemes. However, the parameters required by BPR's security proofs are too large for practical use, and many other practical aspects of the design were left unexplored in that work. In this work we give two concrete and practically efficient instantiations of the BPR design, which we call SPRING, for "subset-product with rounding over a ring." One instantiation uses a generator matrix of a binary BCH error-correcting code to "determinstically extract" nearly random bits from a (biased) rounded subset-product. The second instan-tiation eliminates bias by working over suitable moduli and decomposing the computation into "Chinese remainder" components. We analyze the concrete security of these instantiations, and provide initial software implementations whose throughputs are within small factors (as small as 4.5) of those of AES.
Fichier principal
Vignette du fichier
spring.pdf (401.66 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01093487 , version 1 (10-12-2014)

Identifiers

  • HAL Id : hal-01093487 , version 1

Cite

Abhishek Banerjee, Hai Brenner, Gaëtan Leurent, Chris Peikert, Alon Rosen. SPRING: Fast Pseudorandom Functions from Rounded Ring Products. Fast Software Encryption - FSE 2014, Mar 2014, Londres, United Kingdom. ⟨hal-01093487⟩

Collections

INRIA INRIA2
148 View
291 Download

Share

Gmail Facebook X LinkedIn More