比特币四之实现

我是研究僧i 提交于 2020-02-10 13:01:59

正在学习区块链,如果我哪里有错误希望大家指出,如果有任何想法也欢迎留言。这些笔记本身是在typora上写的,如果有显示不正确的敬请谅解。笔记本身也是给我自己写的,所以如果有侵权的请通知我,我立即删除。

4.1矿工的打包结果

这个主要是UTXO相关的,下面这张图是一个矿工打包的结果

![avatar][pic4.1-1]

Number Of Transactions:该区块中交易的数量

Output Toltal:总共输出的比特币个数

Transaction Fees:整个区块的交易费

Block Reward:矿工的出块奖励(100倍)

Height:区块的序号

Timestamp:时间戳

Difficulty:挖矿难度,保证出块时间大概是10分钟,2016个块后修改一次。

nonce:前面说过了

![avatar][pic4.1-2]

Hash:当前block header的哈希值

Previous Block:前一个区块的哈希值

Merkle Root:merkle树的根哈希

上图中hash和previous hash的前面一堆0不是偶然,而是挖矿的要求。

4.2 节点的内容

下面的概念很好理解,他们的区别就是轻节点没有merkle tree的全部交易,只有block header,所有的交易都要去网上取。

![avatar][pic4.2-1]

![avatar][pic4.2-2]

上面有个区别我思考了一下,轻节点不能检测网上发布的区块的正确性吗?区块对不对,我不是就看看挖矿难度阈值和previous hash就行了么?不是,因为还需要验证UTXO,这样轻节点就做不到了。

4.3挖矿效率的概率分析

没办法,概率学的不好,直接看看结果吧。

二项分布很容易,就是说一个事情只有两个结果,每次实验相互独立,比如掷硬币。伯努利分布是指N次二项分布,可以理解为掷N次硬币。至于伯努利分部和泊松分布的关系,没懂。肖老师的意思是挖矿这个二项分布的p和1-p的概率差别很大,可以看做是泊松分布。系统出块的时间服从指数分布。具体泊松分布和指数分布的关系,可以看这里《泊松分布和指数分布:10分钟教程 - 阮一峰的网络日志》

泊松分布的特点就是无后效性,和马尔可夫链很像的,前一次的结果和后一次的结果没什么关系,所说的赌徒心理也就是这个意思,已经连续出现了50次硬币正面朝上和第51次硬币的方向没有任何关系。同理,挖矿也是这个意思,也就是说不管什么时候挖矿的概率都是固定的,这个值只跟当前矿机的算力占全部矿机算力的比例有关,哪怕挖矿难度是10分钟,已经挖了15分钟,新一次挖矿成功的期望时间还是10分钟。这么做是为了保证每一时刻挖矿成功的概率都只与算力有关,如果和之前结果有关,我的算力很高,你的算力很低,十分钟后我挖到矿的概率就会比你高很多,这样基本就是赢家通吃的节奏了。

下图是肖老师画的整个比特币系统的挖矿成功概率分布图。

![avatar][pic4.3-2]

下面链接里有一些简易的英文分析,如果找不到资料可以看看,但是 就我目前的理解来看,这里不用太多关注,只要知道结论就好,我猜这个是SHA256的性质。《矿工找到block的概率分布函数和函数图像》

4.4 比特币的总量

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4.5 分叉攻击

有很多种情况,先说核心,大家都知道的:诚实的节点只认最长合法链,和时间戳无关。肖老师讲了三种情况。

  • 如果有一个节点非要把一个错误的数据写入链中,别人是不会认的。没有共识的区块链是无效的;
  • 如果有一个节点例如下图中的M,在给A了钱之后又把钱转给了自己会不会有效呢?我的第一反应是时间戳,但是貌似不对。因为虽然M->M‘的交易必然是在M->A的区块之后实现的,也就是说M->M‘应该是M->A的下一个区块,M->M’这个交易本来就已经比M->A慢了,还想把链拉的比正确的长,基本不可能。首先,我就抢都不一定能抢到,何况现在没有别人,就我自己算哈希,怎么可能会更快。我当时产生了这样的疑问:挖矿时反向计算哈希,确认是正向计算哈希,如果我想伪造一堆区块,我只需要正向计算就可以了。答案当然不是,结果肯定是可以出来的,不过这样出来的区块是有效的吗?区块的结构是正确吗?答案当然不是。不过,记账权是由哈希算力决定的,如果恶意节点的哈希算力能够占到一半,就另当别论了。当然,如果那样,比特币已经没有意义了。

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那怎么做才能避免分叉呢?最简单的办法就是等一会,等链中多记入几个区块就可以了。这个过程叫做confirmation,第一次叫做one confirmation,以此类推。比特币默认是6个区块,即一小时。比特币支付必须一小时吗?当然有解决办法,如果电商那种买东西,一小时发货当然没问题,如果是面对面交易,后续看看闪电网络就知道了。闪电网络应该叫zero confirmation。

  • selfish mining。如果我发现我的M->M’块挖的比M->A的慢,我可以先不发布,继续接着我的M->M’往后挖,直到我比上面那条链长了我再发布。这理由和上面的一样,算力的差距只会越来越大。

    还有一种情况,我比大家算得快,但是我没有发布,因为我觉得我提前知道了这个块的哈希,提前计算会比别人快,最后一口气发布一根很长的链,但是我需要每个块都很快,否则之前计算的都白瞎了。但是前面有讲,指数分布,有很强的算力每次都是独立的。

4.6 有效数据不上链

会不会有恶意节点讨厌我,我的记录它就是不上链。会的,而且就算不是恶意节点也有可能,因为一个区块最大一兆字节,不过不用担心,下个节点会上链的。

4.7 双花攻击

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第五个区块在写来源的时候肯定是第二个,这个验证肯定是会通过的,因为是(key-value)的所以立即就能找到第二个。区块链是单向链表,因此会从第五个节点往回找,如果找到第二个节点都没问题就是有效交易了。但是这里就不行了,因为第三个节点的存在会导致双花失败。

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