Blockchain mathematics

1.

blockchain is a new application mode of distributed data storage, point-to-point transmission, consensus mechanism, encryption algorithm and other computer technologies. Blockchain is an important concept of bitcoin,

in essence, it is a decentralized database. At the same time, as the underlying technology of bitcoin, it is a series of data blocks generated by using cryptographic methods. Each data block contains a batch of information of bitcoin network transactions, Used to verify the validity of its information (anti-counterfeiting) and generate the next block

extended data

most blockchain public chains are limited by scalability. The biggest feature of blockchain technology is decentralization, which requires that all accounts in the network need to deal with the accounting process. Distributed accounting has high security, low misoperation rate, political neutrality and correctness

however, blockchain technology embraces these features at the same time, sacrificing scalability, unable to meet the personalized supervision, and slightly insufficient in protecting data privacy. Moreover, with the increase of the number of ledger, the interaction delay will increase exponentially, that is to say, the more ledger in the blockchain network, the higher the delay

2. Blockchain technology uses mathematical methods to achieve distributed accounting and solve the trust problem, so as to complete the decentralization, which will bring far-reaching influence in many fields such as communication, finance, Internet of things, government management and so on
blockchain refers to the technical solution of collective maintenance of a reliable database through centralization and distrust in the past, and it is a technical way for the whole people to participate in bookkeeping. Previous bookkeeping methods were all centralized and needed centralized intermediary, whether it was traditional government, financial institutions, notarization institutions or emerging e-commerce platform and online payment platform
in economic hypothesis, information is sufficient. In fact, it is precisely because of insufficient information that there are very large intermediaries. The existence of intermediaries increases the transaction cost and raises the transaction threshold. In essence, blockchain technology is a large-scale collaboration tool. It makes direct value transfer possible by using pure technology for the first time, and continues the trend of Internet decentralization and disintermediation. Disintermediated blockchain technology will greatly subvert the information intermediary instry
blockchain technology is the basic technology for building bitcoin data structure and encrypted transmission of transaction information, which realizes the issue and transaction of bitcoin. The core of blockchain technology is that all the current participating nodes jointly maintain the transaction and database, so that the transaction is based on the principle of cryptography rather than trust, so that any agreed parties can directly carry out payment transactions without the participation of a third party
technically, a block is a data structure for recording transactions, reflecting the capital flow of a transaction. In the system, the transaction blocks are connected to form a main chain, and all the nodes participating in the calculation record the main chain or part of the main chain
a block contains the following three parts: transaction information, hash formed by the previous block and random number. Transaction information is the task data carried by the block, including the private keys of both parties, the number of transactions, the digital signature of electronic currency, etc; The hash hash formed by the previous block is used to connect the blocks and realize the sequence of past transactions; Random number is the core of the transaction. All nodes compete to calculate the answer of the random number. The node that gets the answer the fastest generates a new block and broadcasts it to all nodes for updating, so as to complete a transaction.

3.

A: the basic characteristics of blockchain

I. decentralization
blockchain technology does not rely on additional third-party management institutions or hardware facilities, and there is no central control. In addition to the self-contained blockchain itself, each node realizes information self verification, transmission and management through distributed accounting and storage

Second, openness

the foundation of blockchain technology is open source. In addition to the private information of all parties involved in the transaction is encrypted, the data of blockchain is open to everyone. Anyone can query blockchain data and develop related applications through the open interface, so the information of the whole system is highly transparent

Third, independence

based on consensus specifications and Protocols (similar to various mathematical algorithms such as hash algorithm used by bitcoin), the whole blockchain system does not rely on other third parties, and all nodes can automatically and safely verify and exchange data in the system without any human intervention

Four, safety

as long as 51% of all data nodes cannot be controlled, the network data cannot be arbitrarily controlled and modified, which makes the blockchain itself relatively safe and avoids subjective and artificial data changes

5. Anonymity

unless there are legal requirements, technically speaking, the identity information of each block node does not need to be disclosed or verified, and the information transmission can be anonymous

4. Blockchain refers to a distributed and shareable public account book that can be trusted through consensus mechanism and checked by each participant. However, no centralized single user can control it. It can only be revised according to strict rules and open protocols<

features:
1. Decentralization
in current system design or application development, central server is considered to realize all information exchange and data storage. But in the blockchain, through the construction of distributed architecture and open source protocol, all participants participate in data recording and verification, and then send them to each node through distributed propagation. Even if some nodes are attacked or damaged, the integrity and information update of the whole database will not be affected, which means that each participating node is "self-centered"

2, to trust
in traditional Internet mode, it is through the trusted central node (such as the housing registration system) or the third party channel (such as Alipay) to carry out the matching verification and trust accumulation, so it can not achieve the center of value transfer.

3. Timestamp
blocks are generated by packaging all the information (including data and code) generated in a certain period of time. The index information of the previous block is included in the page capital of each next block, and the chain is formed by end-to-end connection. Therefore, the addition of block (Complete History) and chain (complete verification) forms a time stamp (which can trace the complete history). It stores all the historical data in the system, provides retrieval and search functions for each data, and can trace the origin and verify each data by means of blockchain structure<

4. Asymmetric encryption
blockchain is an asymmetric encryption algorithm through the mathematical consensus mechanism, that is, a "key pair" is used in the process of encryption and decryption, and the two keys in the "key pair" have the characteristics of asymmetry: first, only the other key can be decrypted after one key is encrypted; Second, after one of the keys is public, other people can't work out another key according to the public key.