Very recently, Ding proposed an ingenious algorithm to solve LWE problem with bounded errors in polynomial time. We find that it can be easily used to give a broadcast attack against NTRU, the most efficient lattice-based publickey cryptosystem known to date.

Some recent constructions based on LWE do not sample the secret uniformly at random but rather from some distribution which produces small entries. The most prominent of these is the binary-LWE problem where the secret vector is sampled from {0, 1}∗ or {−1, 0, 1}∗. We present a variant of the BKW algorithm for binary-LWE and other small secret variants and show that this variant reduces the com...

computational errors in numerical data processing may be detected efficiently by using parity values associated with real number codes, even when inherent round off errors are allowed in addition to failure disruptions. this paper examines correcting turbo codes by straightforward application of an algorithm derived for finite-field codes, modified to operate over any field. there are syndromes...

Introduction: Each treatment planning algorithm has some errors in dose calculation. Particularly these errors are more pronounced in the heterogeneous regions. It is recommended for each set of radiation data and algorithm subtle deliberation done regarding dose calculation accuracy. Knowing the amount of error in dose calculation will result in a fairly accurate estimate of t...

Ahstract-This paper investigates an extension of a recursive estimation algorithm (the so-called OBE algorithm) [9]-[ll], which features a discerning update strategy. In particular, an extension of the algorithm to ARMA parameter estimation is presented here along with convergence analysis. The extension is similar to the extended leastsquares algorithm. However, the convergence analysis is com...

various methods for parametric interpolation of nurbs curves have been proposed in the past. however, the errors caused by the approximate nature of the nurbs interpolator were rarely taken into account. this paper proposes an integrated look-ahead algorithm for parametric interpolation along nurbs curves. the algorithm interpolates the sharp corners on the curve with the pythagorean-hodograph ...

In this survey we describe the Learning with Errors (LWE) problem, discuss its properties, its hardness, and its cryptographic applications.