비만아 부모의 돌봄 경험: q 방법론

After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application. Features & Benefits: * Breadth of coverage and unified, integrated approach to elliptic curve cryptosystems * Describes important industry and government protocols, such as the FIPS 186-2 standard from the U.S. National Institute for Standards and Technology * Provides full exposition on techniques for efficiently implementing finite-field and elliptic curve arithmetic* Distills complex mathematics and algorithms for easy understanding* Includes useful literature references, a list of algorithms, and appendices on sample parameters, ECC standards, and software toolsThis comprehensive, highly focused reference is a useful and indispensable resource for practitioners, professionals, or researchers in computer science, computer engineering, network design, and network data security.

https://cdn.preterhuman.net/texts/cryptography/Hankerson,%20Menezes,%20Vanstone.%20Guide%20to%20elliptic%20curve%20cryptography%20(Springer,%202004)(ISBN%20038795273X)(332s)_CsCr_.pdf

Guide to Elliptic Curve Cryptography

National Institute of Standards and Technology における超伝導研究及び生活

Most of the signal processing that we will study in this course involves local operations on a signal, namely transforming the signal by applying linear combinations of values in the neighborhood of each sample point. You are familiar with such operations from Calculus, namely, taking derivatives and you are also familiar with this from optics namely blurring a signal. We will be looking at sampled signals only. Let's start with a few basic examples. Local difference Suppose we have a 1D image and we take the local difference of intensities, DI(x) = 1 2 (I(x + 1) − I(x − 1)) which give a discrete approximation to a partial derivative. (We compute this for each x in the image.) What is the effect of such a transformation? One key idea is that such a derivative would be useful for marking positions where the intensity changes. Such a change is called an edge. It is important to detect edges in images because they often mark locations at which object properties change. These can include changes in illumination along a surface due to a shadow boundary, or a material (pigment) change, or a change in depth as when one object ends and another begins. The computational problem of finding intensity edges in images is called edge detection. We could look for positions at which DI(x) has a large negative or positive value. Large positive values indicate an edge that goes from low to high intensity, and large negative values indicate an edge that goes from high to low intensity. Example Suppose the image consists of a single (slightly sloped) edge:

http://ieeexplore.ieee.org/iel5/5/31307/01456462.pdf

Linear systems

Ad hoc wireless networks enable new and exciting applications, but also pose significant technical challenges. In this article we give a brief overview of ad hoc wireless networks and their applications with a particular emphasis on energy constraints. We then discuss advances in the link, multiple access, network, and application protocols for these networks. We show that cross-layer design of these protocols is imperative to meet emerging application requirements, particularly when energy is a limited resource.

Design challenges for energy-constrained ad hoc wireless networks

Hardware security has emerged as an important topic in the wake of increasing threats on integrated circuits which include reverse engineering, intellectual property (IP) piracy and overbuilding. This paper explores obfuscation of circuits as a hardware security measure and specifically targets digital signal processing (DSP) circuits which are part of most modern systems. The idea of using desired and undesired modes to design obfuscated DSP functions is illustrated using the fast Fourier transform (FFT) as an example. The selection of a mode is dependent on a key input to the circuit. The system is said to work in its desired mode of operation only if the correct key is applied. Other undesired modes are built into the design to confuse an adversary. The approach to obfuscating the design involves control-flow modifications which alter the computations from the desired mode. We present simulation and synthesis results on a reconfigurable, 2-parallel FFT and discuss the security of this approach. It is shown that the proposed approach results in a reconfigurable and flexible design at an area overhead of 8% and a power overhead of 10%.

https://dl.acm.org/doi/pdf/10.1145/2858930.2858934

Mode-based Obfuscation using Control-Flow Modifications

The ring-learning with errors (R-LWR) problem is utilized to build many ciphers resisting quantum-computing attacks and fully homomorphic encryption that allows computations to be carried out on encrypted data. Modular multiplication of long polynomials with large coefficients is the most critical operation in these schemes. The polynomial multiplication complexity can be reduced by the Karatsuba formula. In this paper, a new method is proposed to integrate the modular reduction into the Karatsuba polynomial multiplication. Modular reduction is applied to intermediate segment products instead of the final product. As a result, additional sub-structure sharing is enabled and the number of coefficient additions needed for assembling the segment products to get the final result is substantially reduced. For polynomial multiplications with decomposition factors 2, 3, and 4, the proposed scheme reduces the number of additions by 13-17%.

Reduced-Complexity Modular Polynomial Multiplication for R-LWE Cryptosystems

This paper addresses design of accelerators using systolic architectures for training of neural networks using a novel gradient interleaving approach. Training the neural network involves backpropagation of error and computation of gradients with respect to the activation functions and weights. It is shown that the gradient with respect to the activation function can be computed using a weight-stationary systolic array while the gradient with respect to the weights can be computed using an output-stationary systolic array. The novelty of the proposed approach lies in interleaving the computations of these two gradients to the same configurable systolic array. This results in reuse of the variables from one computation to the other and eliminates unnecessary memory accesses. The proposed approach leads to 1.4–2.2× savings in terms of number of cycles and 1.9× savings in terms of memory accesses. Thus, the proposed accelerator reduces latency and energy consumption.

A Gradient-Interleaved Scheduler for Energy-Efficient Backpropagation for Training Neural Networks

A method to design low complexity pipelined Tomlinson-Harashima precoders and its associated circuit architectures have been described. The low complexity pipelined TH precoder design relies on the proposed low complexity precomputation based FIR filters. In the low complexity precomputation method for FIR filters, each multiplier is replaced with a multiplexer.

Low complexity Tomlinson-Harashima precoders

In this paper, a new novel LSB scalar point multiplication algorithm resistant to several side channel attacks is presented This method is based on a similar invariant principle to Montgomery's ladder but it can use pre-computation to halve the total runtime and achieve a speedup of l(A + D1)/(IA + D2) Using D2 ap 15 D1 and D1 ap A, then the proposed method achieves 2lA/((l + 15)A) or a speedup of 2 as I, the number of scalar point multiplications on an identical base point, approaches infinity This performance was achieved by applying the reduced complexity Montgomery Invariant point addition equation along with y-coordinate recovery to generate the point Q equal to kP Finally, the LSB Invariant method is adapted to projective coordinates to achieve a further performance increase when the penalty for performing a field inversion operation is greater than 4 multiplications

Keshab K. Parhi

Papers

Mode-based Obfuscation using Control-Flow Modifications

Reduced-Complexity Modular Polynomial Multiplication for R-LWE Cryptosystems

A Gradient-Interleaved Scheduler for Energy-Efficient Backpropagation for Training Neural Networks

Low complexity Tomlinson-Harashima precoders

A New Side Channel Resistant Scalar Point Multiplication Method for Binary Elliptic Curves