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Secure Multi-Party Linear Algebra with Perfect Correctness
April 1, 2024, 3:24 a.m. |
IACR News www.iacr.org
ePrint Report: Secure Multi-Party Linear Algebra with Perfect Correctness
Jules Maire, Damien Vergnaud
We present new secure multi-party computation protocols for linear algebra over a finite field, which improve the state-of-the-art in terms of security. We look at the case of \emph{unconditional security with perfect correctness}, i.e., information-theoretic security without errors. We notably propose an expected constant-round protocol for solving systems of $m$ linear equations in $n$ variables over $\mathbb{F}_q$ with expected complexity $O(k(n^{2.5} + m^{2.5}+n^2m^{0.5}))$ where $k > m(m+n)+1$ …
algebra art case computation correctness eprint report errors information linear party perfect protocols report security state terms
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