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Polynomial Lattices for the BIKE Cryptosystem
July 31, 2025 Β· Declared Dead Β· π IACR Cryptology ePrint Archive
"No code URL or promise found in abstract"
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Authors
Michael Schaller
arXiv ID
2507.23641
Category
cs.CR: Cryptography & Security
Citations
0
Venue
IACR Cryptology ePrint Archive
Last Checked
4 months ago
Abstract
In this paper we introduce a rank $2$ lattice over a polynomial ring arising from the public key of the BIKE cryptosystem \cite{aragon2022bike}. The secret key is a sparse vector in this lattice. We study properties of this lattice and generalize the recovery of weak keys from \cite{BardetDLO16}. In particular, we show that they implicitly solved a shortest vector problem in the lattice we constructed. Rather than finding only a shortest vector, we obtain a reduced basis of the lattice which makes it possible to check for more weak keys.
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