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The discrete logarithm in a finite group of large order has been widely applied in public key cryptosystem. In this paper, we will present a probabilistic algorithm for discrete logarithm.

密码学与安全 · 计算机科学 2009-03-21 An-Ping Li

This study investigates the transmission of monetary policy narratives to Bitcoin prices, distinguishing the impact of ex-ante expectations from ex-post interest rate implementation. We introduce a high-frequency Monetary Policy…

In this paper, we address the critical challenges of double-spending and selfish mining attacks in blockchain-based digital currencies. Double-spending is a problem where the same tender is spent multiple times during a digital currency…

密码学与安全 · 计算机科学 2024-03-11 Seyed Ardalan Ghoreishi , Mohammad Reza Meybodi

Empirical likelihood is a powerful semi-parametric method increasingly investigated in the literature. However, most authors essentially focus on an i.i.d. setting. In the case of dependent data, the classical empirical likelihood method…

统计理论 · 数学 2011-02-17 Hugo Harari-Kermadec

Markov chain Monte Carlo (MCMC) algorithms are ubiquitous in probability theory in general and in machine learning in particular. A Markov chain is devised so that its stationary distribution is some probability distribution of interest.…

机器学习 · 计算机科学 2017-11-02 Johan Jonasson

Bitcoin has witnessed a prevailing transition that employing transaction fees paid by users rather than subsidy assigned by the system as the main incentive for mining.

计算机科学与博弈论 · 计算机科学 2021-01-01 Hongwei Shi , Shengling Wang , Qin Hu , Xiuzhen Cheng , Jianhui Huang

Bitcoin is a peer-to-peer electronic payment system that has rapidly grown in popularity in recent years. Usually, the complete history of Bitcoin blockchain data must be queried to acquire variables with economic meaning. This task has…

综合经济学 · 经济学 2025-08-11 Yulin Liu , Luyao Zhang , Yinhong Zhao

Incentive mechanisms are central to the functionality of permissionless blockchains: they incentivize participants to run and secure the underlying consensus protocol. Designing incentive-compatible incentive mechanisms is notoriously…

密码学与安全 · 计算机科学 2020-08-06 Charlie Hou , Mingxun Zhou , Yan Ji , Phil Daian , Florian Tramer , Giulia Fanti , Ari Juels

We show that streams and lazy data structures are a natural idiom for programming with infinite-dimensional Bayesian methods such as Poisson processes, Gaussian processes, jump processes, Dirichlet processes, and Beta processes. The crucial…

编程语言 · 计算机科学 2022-12-15 Swaraj Dash , Younesse Kaddar , Hugo Paquet , Sam Staton

Bitcoin is a peer-to-peer payment system proposed by Nakamoto in 2008. Based on the Nakamoto consensus, Bagaria, Kannan, Tse, Fanti, and Viswanath proposed the Prism protocol in 2018 and showed that it achieves near-optimal blockchain…

密码学与安全 · 计算机科学 2020-04-27 Jing Li , Dongning Guo

The paper studies the linear model for Bitcoin price which includes regression features based on Bitcoin currency statistics, mining processes, Google search trends, Wikipedia pages visits. The pattern of deviation of regression model…

统计金融 · 定量金融 2022-01-11 Bohdan M. Pavlyshenko

A model is proposed for Bitcoin prices that takes into account market attention. Market attention, modeled by a mean-reverting Cox-Ingersoll-Ross processes, affects the volatility of Bitcoin returns, with some delay. The model is affine and…

证券定价 · 定量金融 2024-01-17 Alvaro Guinea Julia , Alet Roux

Recently, the blockchain technique was put in the spotlight as it introduced a systematic approach for multiple parties to reach consensus without needing trust. However, the application of this technique in practice is severely restricted…

分布式、并行与集群计算 · 计算机科学 2017-07-17 Zhijie Ren , Kelong Cong , Johan Pouwelse , Zekeriya Erkin

Bitcoin is the first secure decentralized electronic currency system. However, it is known to be inefficient due to its proof-of-work (PoW) consensus algorithm and has the potential hazard of double spending. In this paper, we aim to reduce…

密码学与安全 · 计算机科学 2018-07-10 Chi-Ning Chou , Yu-Jing Lin , Ren Chen , Hsiu-Yao Chang , I-Ping Tu , Shih-wei Liao

Since Bitcoin's inception in 2008, it has became attractive investments for both trading and mining. To mine Bitcoins, a miner has to invest in computing power and pay for electricity to solve cryptographic puzzles for rewards, if it…

密码学与安全 · 计算机科学 2020-02-18 Ehsan Meamari , Chien-Chung Shen

Simple closed-form upper and lower bounds are developed for the security of the Nakamoto consensus as a function of the confirmation depth, the honest and adversarial block mining rates, and an upper bound on the block propagation delay.…

密码学与安全 · 计算机科学 2022-08-30 Dongning Guo , Ling Ren

Bitcoin is the first and the most extensive decentralized electronic cryptocurrency system that uses blockchain technology. It uses a peer-to-peer (P2P) network to operate without a central authority and propagate system information such as…

分布式、并行与集群计算 · 计算机科学 2022-05-03 Befekadu G. Gebraselase , Bjarne E. Helvik , Yuming Jiang

Bitcoin provides freshness properties by forming a blockchain where each block is associated with its timestamp and the previous block. Due to these properties, the Bitcoin protocol is being used as a decentralized, trusted, and secure…

密码学与安全 · 计算机科学 2018-05-21 Pawel Szalachowski

In cryptocurrencies, the block reward is meant to serve as the incentive mechanism for miners to commit resources to create blocks and in effect secure the system. Existing systems primarily divide the reward in proportion to expended…

计算机科学与博弈论 · 计算机科学 2021-03-24 Lucianna Kiffer , Rajmohan Rajaraman

Bitcoin operates as a macroeconomic paradox: it combines a strictly predetermined, inelastic monetary issuance schedule with a stochastic, highly elastic demand for scarce block space. This paper empirically validates the Endogenous…

统计金融 · 定量金融 2025-12-10 Hamoon Soleimani