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Faster Initial Splitting for Small Characteristic Composite Extension Degree Fields
Discrete Log Finite fields Function Field Sieve Cryptography
2019/3/21
Let pp be a small prime and n=n1n2>1n=n1n2>1 be a composite integer. For the function field sieve algorithm applied to FpnFpn, Guillevic (2019) had proposed an algorithm for initial splitting of the t...
A typical countermeasure against side-channel attacks consists of masking intermediate values with a random number. In symmetric cryptographic algorithms, Boolean shares of the secret are typically us...
Partially Splitting Rings for Faster Lattice-Based Zero-Knowledge Proofs
Lattice cryptography Zero-Knowledge Proofs Ring-LWE
2017/6/6
In this work we show that one can use the optimal challenge sets CC and still have the polynomial Xn+1Xn+1 split into more than two factors. For the most common parameters that are used in such zero-k...
SPLITTING TERRACED HOUSES INTO SINGLE UNITS USING OBLIQUE AERIAL IMAGERY
Faç ade Splitting Oblique True Ortho Building Segmentation
2017/7/13
This paper introduces a method to subdivide complex building structures like terraced houses into single house units comparable to units available in a cadastral map. 3D line segments are detected wit...
On Splitting a Point with Summation Polynomials in Binary Elliptic Curves
cryptanalysis summation polynomials algebraic attacks
2016/1/27
Recent research for efficient algorithms for solving the discrete
logarithm (DL) problem on elliptic curves depends on the difficult
question of the feasibility of index calculus which would consist...
Balanced Splitting on Weighted Intervals
Interval splitting Combinatorial optimizations Algorithms Temporal databases Multi-version databases
2016/1/22
We study a problem on splitting intervals. Let I be a set of n intervals on a line L, with non-negative weights. Given any integer k ≥ 1, we want to find k points on L to partition L into k + 1 segmen...
On Power Splitting Games in Distributed Computation: The Case of Bitcoin Pooled Mining
Cryptocurrency block withholding attack distributed computation
2016/1/4
Several new services incentivize clients to compete in solving large computation tasks in exchange for financial rewards. This model of competitive distributed computation enables every user connected...
PRECONDITIONING A CLASS OF FOURTH ORDER PROBLEMS BY OPERATOR SPLITTING
parabolic problems fourth order problems preconditioning
2015/12/11
We develop preconditioners for systems arising from finite element discretizations of
parabolic problems which are fourth order in space. We consider boundary conditions which yield
a natural ...
SPLITTING FIELDS OF CHARACTERISTIC POLYNOMIALS OF RANDOM ELEMENTS IN ARITHMETIC GROUPS
SPLITTING FIELDS CHARACTERISTIC POLYNOMIALS RANDOM ELEMENTS ARITHMETIC GROUPS
2015/8/26
We discuss rather systematically the principle, implicit in earlier works, that for a “random” element in an arithmetic subgroup of a (split, say) reductive algebraic group over a number field, the sp...
Consider an absolutely simple abelian variety A defined over a number field K. For most places v of K, we study how the reduction Av of A modulo v splits up to isogeny. Assumingthe Mumford–Tate conjec...
Temporal variation of shear-wave splitting parameters before and after the 2008 Movri Mountain earthquake in northwest Peloponnese (Greece)
splitting parameters northwest Peloponnese
2015/8/26
On June 8, 2008, at 12:25 GMT, a Mw 6.4 earthquake, the Movri Mountain earthquake, occurred in the area of northwest Peloponnese, western Greece. The epicenter was located in the municipality of Movri...
Block splitting for large-scale distributed learning
Machine statistics data sets convex optimization the model data collection processing machine
2015/8/7
Machine learning and statistics with very large datasets is now a topic of widespread interest, both in academia and industry. Many such tasks can be posed as convex optimization problems, so algorith...
A splitting method for optimal control
Operator splitting algorithm the secondary control operation
2015/8/7
We apply an operator splitting technique to a generic linear-convex optimal control problem, which results in an algorithm that alternates between solving a quadratic control problem, for which there ...
A primal-dual operator splitting method for conic optimization
Character segmentation conic optimization yield distributed linear algebra
2015/8/7
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
Operator splitting for conic optimization via homogeneous self-dual embedding
Segmentation method multiplier nonzero subspace double lonely computational subspace
2015/8/7
We introduce a first order method for solving very large cone programs to modest accuracy. The method uses an operator splitting method, the alternating directions method of multipliers, to solve the ...