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We discuss the use of elliptic curves in cryptography on high-dimensional surfaces. In particular, instead of a Diffie-Hellman key exchange protocol written in the form of a bi-dimensional row, where the elements are made up with 256 bits,…

密码学与安全 · 计算机科学 2016-10-06 Alberto Sonnino , Giorgio Sonnino

With proliferation of DNN-based applications, the confidentiality of DNN model is an important commercial goal. Spatial accelerators, that parallelize matrix/vector operations, are utilized for enhancing energy efficiency of DNN…

密码学与安全 · 计算机科学 2021-08-31 Ge Li , Mohit Tiwari , Michael Orshansky

Whilst many key exchange and digital signature methods use the NIST P256 (secp256r1) and secp256k1 curves, there is often a demand for increased security. With these curves, we have a 128-bit security. These security levels can be increased…

密码学与安全 · 计算机科学 2026-04-21 Víctor Duarte Melo , William J. Buchanan

We present a novel matrix-parametrized frugal splitting algorithm which finds the zero of a sum of maximal monotone and cocoercive operators composed with linear selection operators. We also develop a semidefinite programming framework for…

最优化与控制 · 数学 2025-07-29 Peter Barkley , Robert L. Bassett

Constant-time programming is a widely deployed approach to harden cryptographic programs against side channel attacks. However, modern processors often violate the underlying assumptions of standard constant-time policies by transiently…

密码学与安全 · 计算机科学 2025-05-21 Ali Hajiabadi , Trevor E. Carlson

We present a coordinate ascent method for a class of semidefinite programming problems that arise in non-convex quadratic integer optimization. These semidefinite programs are characterized by a small total number of active constraints and…

最优化与控制 · 数学 2020-07-13 Christoph Buchheim , Maribel Montenegro , Angelika Wiegele

Simple graph algorithms such as PageRank have been the target of numerous hardware accelerators. Yet, there also exist much more complex graph mining algorithms for problems such as clustering or maximal clique listing. These algorithms are…

In this note we combine the advantages of the methods of Siegel-Baker-Coates and of Lang-Zagier for the computation of S-integral points on elliptic curves in Weierstrass normal form over the rationals. In this way we are able to overcome…

数论 · 数学 2007-05-23 Attila Pethöl , Horst G. Zimmer , Josef Gebel , Emanuel Herrmann

We introduce the twisted $\boldsymbol{\mu}_4$-normal form for elliptic curves, deriving in particular addition algorithms with complexity $9\mathbf{M} + 2\mathbf{S}$ and doubling algorithms with complexity $2\mathbf{M} + 5\mathbf{S} +…

数论 · 数学 2020-12-22 David Kohel

A defect correction formula for quadratic matrix equations of the kind $A_1X^2+A_0X+A_{-1}=0$ is presented. This formula, expressed by means of an invariant subspace of a suitable pencil, allows us to introduce a modification of the…

数值分析 · 数学 2022-12-20 Dario Bini , Beatrice Meini

We develop numerical methods for elliptic systems governed by partial segregation constraints, in which three nonnegative components are required to have a vanishing pointwise product throughout the domain. This constraint enforces that at…

数值分析 · 数学 2026-03-09 Farid Bozorgnia , Avetik Arakelyan , Vyacheslav Kungurtsev , Jan Valdman

In this paper, we evaluate the different fully homomorphic encryption schemes, propose an implementation, and numerically analyze the applicability of gradient descent algorithms to solve quadratic programming in a homomorphic encryption…

密码学与安全 · 计算机科学 2023-09-06 André Bertolace , Konstantinos Gatsis , Kostas Margellos

This paper presents an accuracy-enhanced Hybrid Temporal Computing (E-HTC) framework for ultra-low-power hardware accelerators with deterministic additions. Inspired by the recently proposed HTC architecture, which leverages pulse-rate and…

硬件体系结构 · 计算机科学 2025-09-30 Sachin Sachdeva , Jincong Lu , Wantong Li , Sheldon X. -D. Tan

In this work, we investigate the security of Elliptic Curve Cryptosystem (ECC) implementations against Side-Channel Analysis (SCA). ECC is well known for its efficiency and strong security, yet vulnerable to SCA which exploits physical…

密码学与安全 · 计算机科学 2025-09-30 Philip Laryea Doku

This paper presents a comparative analysis between the Genetic Algorithm (GA) and Particle Swarm Optimization (PSO), two vital artificial intelligence algorithms, focusing on optimizing Elliptic Curve Cryptography (ECC) parameters. These…

密码学与安全 · 计算机科学 2024-07-02 Felipe Tellez , Jorge Ortiz

In this paper, we report the first quantum key-recovery attack on a symmetric block cipher design, using classical queries only, with a more than quadratic time speedup compared to the best classical attack. We study the 2XOR-Cascade…

量子物理 · 物理学 2021-10-07 Xavier Bonnetain , André Schrottenloher , Ferdinand Sibleyras

Recent research has revealed an ever-growing class of microarchitectural attacks that exploit speculative execution, a standard feature in modern processors. Proposed and deployed countermeasures involve a variety of compiler updates,…

密码学与安全 · 计算机科学 2022-08-17 Jan Philipp Thoma , Jakob Feldtkeller , Markus Krausz , Tim Güneysu , Daniel J. Bernstein

In the past years, research on Shor's algorithm for solving elliptic curves for discrete logarithm problems (Shor's ECDLP), the basis for cracking elliptic curve-based cryptosystems (ECC), has started to garner more significant interest. To…

量子物理 · 物理学 2023-06-14 Harashta Tatimma Larasati , Howon Kim

We are interested in solving the Asymmetric Eigenvalue Complementarity Problem (AEiCP) by accelerated Difference-of-Convex (DC) algorithms. Two novel hybrid accelerated DCA: the Hybrid DCA with Line search and Inertial force (HDCA-LI) and…

最优化与控制 · 数学 2023-05-23 Yi-Shuai Niu

In this paper, coded slotted ALOHA (CSA) is introduced as a powerful random access scheme to the MAC frame. In CSA, the burst a generic user wishes to transmit in the MAC frame is first split into segments, and these segments are then…

信息论 · 计算机科学 2016-11-18 Enrico Paolini , Gianluigi Liva , Marco Chiani