International Association for Cryptologic Research

International Association
for Cryptologic Research

IACR News item: 13 May 2014

Divesh Aggarwal
ePrint Report ePrint Report
In this work, we describe a simple and efficient construction of a large subset S of F_p, where p is a prime, such that the set A(S) for any non-identity affine map A over F_p has small intersection with S.

Such sets, called affine-evasive sets, were defined and constructed in~\\cite{ADL14} as the central step in the construction of non-malleable codes against affine tampering over F_p, for a prime p. This was then used to obtain efficient non-malleable codes against split-state tampering.

Our result resolves one of the two main open questions in~\\cite{ADL14}. It improves the rate of non-malleable codes against affine tampering over F_p from log log p to a constant, and consequently the rate for non-malleable codes against split-state tampering for n-bit messages is improved from n^6 log^7 n to n^6.

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