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Tight upper and lower bounds for leakage-resilient, locally decodable and updatable non-malleable codes
مرزهای بالا و پایین محدود برای کدهای غیرقابل انعطاف پذیر ، انعطاف پذیر محلی و به روز شده در محل-2019 Dachman-Soled et al.(TCC ’15) proposed a notion called locally decodable and updatable non-malleable codes, which provide the security guarantees of a non-malleable code while allowing for efficient random access. They also considered such codes that are leakage-resilient, allowing for adversaries who continually leak information in addition to tampering. The locality of their construction was (logn).
We prove that super-constant locality is inherent by showing tight upper and lower bounds. We show that a locally decodable and updatable non-malleable code with block size χ∈poly(λ)requires locality δ(n) ∈ω(1), where n =poly(λ)is the message length and λis security parameter. Furthermore, we present a construction of a locally decodable and updatable non-malleable code with block size χ∈(λ1/μ)(for constant 0 <μ <1) with locality δ(n), for any δ(n) ∈ω(1), and n =poly(λ). Keywords: Non-malleable code | Leakage-resilience cryptography | Locally decodable and updatable |
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