WebFeb 6, 2024 · Learning With Errors (LWE), among known computational assumptions, is regarded as a significant and promising candidate for post-quantum cryptography. In … Binary error LWE is the particular case of the learning with errors (LWE) problem in which errors are chosen in \ {0,1\}. It has various cryptographic applications, and in particular, has been used to construct efficient encryption schemes for use in constrained devices. See more Slightly informally, Hilbert’s Nullstellensatz essentially states that the ideal generated by a family of polynomials f_1,\dots ,f_m\in \mathbb {Z}_q[x_1,\dots ,x_n] coincides with the ideal of polynomials that vanish on the set … See more The Arora-Ge polynomial system arising from binary error LWE is a polynomial system as above with d_{1} = \cdots = d_{m} = 2. Therefore, we can sum up the results of this section … See more Now consider the Arora-Ge approach of linearizing the polynomial system, except that we do not apply it to the quadratic system directly, but instead to an equivalent, … See more We can completely determine the cost of the approach above provided that we can determine the minimal value D sufficient to recover \mathbf {s}, … See more
Learning with errors - Wikipedia
WebJun 5, 2024 · Binary error LWE is the particular case of the learning with errors (LWE) problem in which errors are chosen in { 0, 1 }. It has various cryptographic applications, … WebApr 13, 2016 · In this work we show that LWE with binary error, introduced by Micciancio and Peikert, is one such subclass. We achieve this by applying the Howgrave-Graham … north american banking company shoreview mn
Faster Dual Lattice Attacks for Solving LWE with Applications to ...
WebThe LWE problem has turned out to be amazingly versatile as a basis for cryptographic constructions, partly due to its extreme flexibility as evidenced by the variants of LWE … WebJul 4, 2011 · We use the binary search to predict the concrete security of all LWE-based algorithms in NIST-PQC and the experimental results demonstrate the accuracy of the binary search. View Show abstract WebBuchmann J Göpfert F Player R Wunderer T Pointcheval D Nitaj A Rachidi T On the hardness of LWE with binary error: revisiting the hybrid lattice-reduction and meet-in-the-middle attack Progress in Cryptology – AFRICACRYPT 2016 2016 Cham Springer 24 43 10.1007/978-3-319-31517-1_2 1345.94045 Google Scholar Digital Library; 35. north american bankcard services