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Upper Bound on $\lambda_1(\Lambda^{\bot}(\mathbf A))$
security of lattice-based cryptography shortest vector problem worst-cast/average-case reduction
2019/1/16
Although the exhaustive search algorithm is rather inefficient for typical setting of parameters, our result indicates that lattice-based cryptography is not secure, at least in an asymptotical sense....
Improved upper bound on root number of linearized polynomials and its application to nonlinearity estimation of Boolean functions
Boolean Functions Nonlinearity Linearized Polynomial Root Number
2018/12/3
To determine the dimension of null space of any given linearized polynomial is one of vital problems in finite field theory, with concern to design of modern symmetric cryptosystems. But, the known ge...
Upper Bound on the Modal Material Loss Rate in Plasmonic and Metamaterial Systems
Modal Material Loss Rate Plasmonic Metamaterial Systems
2015/8/7
A better understanding of optical loss in plasmonic and metamaterial systems is of increasing importance for both basic and applied research in a broad range of topics including sensors, antennas,opti...
Methods to Calculate the Upper Bound of Gini Coefficient Based on Grouped Data and the Result for China
Gini coefficient Grouped data Upper bound China
2013/6/14
How to give an upper bound, especially the smallest upper bound of Gini coefficient based on grouped data in the absence of income brackets is still a problem not properly solved. This article provide...
Thermodynamic Upper Bound on Broadband Light Coupling with Photonic Structures
Thermodynamic Broadband Light Coupling Photonic Structures
2015/8/7
The coupling between free space radiation and optical media critically influences the performance of optical devices. We show that, for any given photonic structure, the sum of the external coup...
An Upper Bound on the Convergence Time for Quantized Consensus
Distributed quantized consensus gossip conver-gence time
2012/9/17
We analyze a class of distributed quantized consen-sus algorithms for arbitrary networks. In the initial setting, each node in the network has an integer value. Nodes exchange their current estimate o...
An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
the zero-counting formulae Dirichlet $L$-functions Dedekind zeta-functions Number Theory
2012/6/30
This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.
A sharp upper bound for the rainbow 2-connection number of 2-connected graphs
rainbow edge-coloring rainbow k-connection number 2-connected graph ear decomposition
2012/4/18
A path in an edge-colored graph is called {\em rainbow} if no two edges of it are colored the same. For an $\ell$-connected graph $G$ and an integer $k$ with $1\leq k\leq \ell$, the {\em rainbow $k$-c...
An upper bound on common stabilizations of Heegaard splittings
Heegaard splitting Geometric Topology
2011/9/1
Abstract: We show that for any two Heegaard splittings of genus $p$ and $q$ for the same closed 3-manifold, there is a common stabilization of genus at most 3/2 p + 2q - 1. One may compare this to rec...
Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation II: upper bound on the volume exponent
Streched Polymer Quenched Disorder Superdiffusivity Brownian Motion Poissonian Obstacles Correlation
2011/8/26
Abstract: This paper continues a study on trajectories of Brownian Motion in a field of soft trap whose radius distribution is unbounded. We show here for both point-to-point and point-to-plane model ...
An upper bound on the total inelastic cross-section as a function of the total cross-section
the total inelastic cross-section function the total cross-section
2010/12/24
Recently Andr\'e Martin has proved a rigorous upper bound on the inelastic cross-section $\sigma_{inel}$ at high energy which is one-fourth of the known Froissart-Martin-Lukaszuk upper bound on $\sig...
An improved upper bound on the Entropy Production for the Kac Master equation
Entropy Production Villani’s Conjecture
2010/12/8
In this paper we take an idea presented in recent paper by Carlen, Carvalho,Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new...
An upper bound for the Hosoya index of trees
Hosoya index of graphs tree eigenvalue of graphs
2010/9/13
The Hosoya index of a graph G is defined as the sum of all the numbers of k - matchings (k ≥ 0) in G. An upper bound for the Hosoya index of trees is presented in this note.
Upper bound for the generalized repetition threshold
Upper bound generalized repetition threshold
2010/12/10
Let A be an a-letter alphabet. We consider fractional powers of A-strings: if x is a n-letter string, xr is a prefix of xxxx . . . having length nr.
Turbo Codes: The Issue of Average Union Upper Bound under Imperfect Channel State Information in Rayleigh Fading Channels
Turbo code imperfect estimate channel state information
2009/7/28
The potential of turbo codes to demonstrate excellent performance in the region of low signal to noise ratio is now a familiar fact. The idea of turbo codes was first introduced by Berrou and was base...