Weighted threshold ECDSA for securing bitcoin wallet

Abstract

Bitcoin was introduced in a self-published paper by Satoshi Nakamoto in October, 2008[1, 2]. Bitcoin is a decentralized system which requires no central authority. In recent years, bitcoin has become increasingly accepted and used in many fields in place of physical cash. Bitcoin is a peer-to-peer network of nodes that distribute and record transactions [3]. Bitcoin transaction is a statement that Player 1 (address 1) would like to transfer some bitcoin values to Player 2 (address 2), signed by Player 1 by his private key. Transactions are verified by network nodes and confirmed in a public distributed ledger called the block chain. The block chain consists of a series of blocks in which each block contains the hashed value of subsequent block. Every bitcoin block contains a set of verified transactions that are collected from the bitcoin broadcast network. It is assumed that the majority of nodes in the bitcoin network are honest. This makes the verification done by the nodes is correct with high probability. More technically, bitcoin is an electronic-cash system based on cryptographic algorithms.