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Matrix refreshing provides leakage-resilient computation under continual local leakage

Original title: Leakage-Resilient Computation via Matrix Refreshing

arXiv cs.CRby Stefan Dziembowski ()1 min read
AI summary · x-ai/grok-4.7Summaries by Vani AI

A simple refresh mechanism using uniform invertible matrices secures shares against local leakage achieving statistical distance at most C·T·2^{6λ-n/9} after T refreshes with λ bits leakage per party.

We prove that a simple refresh in which the left party multiplies its share by a uniform invertible matrix M and the right party multiplies its share by M^{-1} is secure under continual local leakage. After T refreshes each allowing at most λ bits of leakage per party the transcripts for two stored secrets are at statistical distance at most C·T·2^{6λ-n/9} for an absolute constant C. We also obtain a Boolean-circuit compiler with statistical privacy error at most C·S·2^{18λ-n/27} for S operations.

Key facts
  • Simple matrix-based refresh is secure under continual local leakage
  • Boolean-circuit compiler provides statistical privacy error bound
  • Guarantee covers repeated stateful evaluations with adaptively chosen public inputs
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From the original article

1 min read at arxiv.org

Leakage-resilient cryptography protects secrets against side-channel attacks, in which a physical implementation reveals partial information about its internal state. A fundamental primitive in this area is a leakage-resilient storage, which allows a secret to be stored in a way that remains secure even if an adversary learns some information about the storage's internal state.

arXiv cs.CR

By Stefan Dziembowski · arxiv.org

Read the full article at arXiv cs.CR

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