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_posts/2025-09-01-quine.md
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在这篇论文中，里面简述了之前Russ Cox写的内容，也提到了59字节的限制，于是作者对原有的结构进行了一些改动，让操作码可以超出5字节的限制，具体可以看论文的表6，从而解决了只能包含59字节额外数据的限制。但由于DEFLATE压缩格式本身的约束（16位存储块长度以及32KiB回溯窗口），即使能够添加文件，最多也只能额外容纳32763字节的数据（其中包括压缩包所需的文件头）……显然这点空间完全存不下我的博客😭，看来我只能打消这个想法了。但既然都研究了半天，也不一定要存我的博客嘛，可以看看还有没有别的东西可以存？在这之前先继续阅读论文，看完再说吧。 在这篇论文中，里面简述了之前Russ Cox写的内容，也提到了59字节的限制，于是作者对原有的结构进行了一些改动，让操作码可以超出5字节的限制，具体可以看论文的表6，从而解决了只能包含59字节额外数据的限制。但由于DEFLATE压缩格式本身的约束（16位存储块长度以及32KiB回溯窗口），即使能够添加文件，最多也只能额外容纳32763字节的数据（其中包括压缩包所需的文件头）……显然这点空间完全存不下我的博客😭，看来我只能打消这个想法了。但既然都研究了半天，也不一定要存我的博客嘛，可以看看还有没有别的东西可以存？在这之前先继续阅读论文，看完再说吧。
## 制作一个嵌套循环的ZIP Quine ## 制作一个嵌套循环的ZIP Quine
在实现了常规的ZIP Quine之后，接下来就是作者的创新点了（如果光是解决存储限制这点创新点估计还不够发论文吧😂）。作者接下来制作了一种循环压缩文件，在压缩包内包含文件A和压缩包A，而压缩包A中则包含文件B和最初的压缩包，从而形成一个循环递归的结构。看论文的描述所说如果把外层的压缩包和内层的压缩包的开头和结尾按照一定的规则交替混合，就可以看作是一个整体，然后按照之前做ZIP Quine那样处理就可以……具体实现的细节得看论文的表10。只不过既然是把两个压缩包看作一个整体的话，按照上面的限制，自然每个压缩包能容纳的数据量就更小了，每个最多只能容纳16376字节的数据…… 在实现了常规的ZIP Quine之后，接下来就是作者的创新点了（如果光是解决存储限制这点创新点估计还不够发论文吧😂）。作者接下来制作了一种循环压缩文件，在压缩包内包含文件A和压缩包A，而压缩包A中则包含文件B和最初的压缩包，从而形成一个循环递归的结构。看论文的描述所说如果把外层的压缩包和内层的压缩包的开头和结尾按照一定的规则交替混合，就可以看作是一个整体，然后按照之前做ZIP Quine那样处理就可以……具体实现的细节得看论文的表10。只不过既然是把两个压缩包看作一个整体的话，按照上面的限制，自然每个压缩包能容纳的数据量就更小了，每个最多只能容纳16376字节的数据……
另外既然这里面有两个压缩包，那么每个压缩包还有自己的CRC32校验和，理论上如果要爆破的话计算难度得是原来的平方，这样难度就太大了。不过作者发现如果把数据的CRC32值取反（即与“0xFFFFFFFF”取异或）然后和原始数据拼到一起，整个数据的CRC32校验和就会被重置为一个固定的值“0xFFFFFFFF”，看起来挺有意思，正常的哈希算法可没有这种特性。因此原本计算难度很大的爆破计算现在就可以和之前一样了……话说为什么不让两层的CRC32都这样计算（包括之前单层的ZIP Quine）？这样就不需要爆破了……貌似是因为在普通的ZIP Quine中满足条件的CRC32需要出现两次，所以不能用这个方案吧？ 另外既然这里面有两个压缩包，那么每个压缩包还有自己的CRC32校验和，理论上如果要爆破的话计算难度得是原来的平方，这样难度就太大了。不过作者发现如果把数据的CRC32值取反（即与“0xFFFFFFFF”取异或）然后和原始数据拼到一起，整个数据的CRC32校验和就会被重置为一个固定的值“0xFFFFFFFF”，看起来挺有意思，正常的哈希算法可没有这种特性。因此原本计算难度很大的爆破计算现在就可以和之前一样了…… ~~话说为什么不让两层的CRC32都这样计算（包括之前单层的ZIP Quine）？这样就不需要爆破了……貌似是因为在普通的ZIP Quine中满足条件的CRC32需要出现两次，所以不能用这个方案吧？~~
现在所有的理论都足够了，我需要挑一个文件来做这样嵌套循环的ZIP Quine，既然博客的大小不可以……要不然我就用我写过的第一个大项目——[Mabbs](https://github.com/Mabbs/Mabbs.Project)吧，这个项目的主程序是22KiB，看起来似乎超出了嵌套循环ZIP Quine的限制？其实没有，它的限制指的是压缩后的大小，我这个程序压缩之后是8KiB左右，所以完全没问题。 现在所有的理论都足够了，我需要挑一个文件来做这样嵌套循环的ZIP Quine，既然博客的大小不可以……要不然我就用我写过的第一个大项目——[Mabbs](https://github.com/Mabbs/Mabbs.Project)吧，这个项目的主程序是22KiB，看起来似乎超出了嵌套循环ZIP Quine的限制？其实没有，它的限制指的是压缩后的大小，我这个程序压缩之后是8KiB左右，所以完全没问题。
接下来就该使用论文中提到的生成工具：[zip-quine-generator](https://github.com/ruvmello/zip-quine-generator)，这是一个Kotlin编写的程序，从发布中可以下载预构建的程序，接下来只要按照README中的描述使用“`--loop`”参数就可以用这个程序创建嵌套循环的ZIP Quine了。不过它原本的代码不能修改里面生成的压缩包的名字，另外[压缩后的文件属性是隐藏文件](https://github.com/ruvmello/zip-quine-generator/blob/3b8cf977e7a93bb956ad966d5e3b4d503f410529/src/main/kotlin/zip/ZIPArchiver.kt#L845)，还有[生成的压缩包中文件的创建时间总是当前时间](https://github.com/ruvmello/zip-quine-generator/blob/3b8cf977e7a93bb956ad966d5e3b4d503f410529/src/main/kotlin/zip/ZIPArchiver.kt#L29)，以及[给文件内填充额外数据的代码里面填的是作者的声明](https://github.com/ruvmello/zip-quine-generator/blob/3b8cf977e7a93bb956ad966d5e3b4d503f410529/src/main/kotlin/zip/ZIPArchiver.kt#L30)，表示文件是由他论文的所写的生成器生成的……这些情况让我感觉有点不爽，还是希望这些部分能自定义一下，所以我就小改了一下他的代码。顺便一说，Kotlin编译起来还挺简单，直接一句`kotlinc src/main/kotlin -include-runtime -d output.jar`就可以了，也不需要折腾Maven之类乱七八糟的东西。最终我修改并编译完程序之后就把文件丢到服务器上开始给我爆破CRC32了，花了10个小时就算出来了，倒是比想象中快😂。 接下来就该使用论文中提到的生成工具：[zip-quine-generator](https://github.com/ruvmello/zip-quine-generator)，这是一个Kotlin编写的程序，从发布中可以下载预构建的程序，接下来只要按照README中的描述使用“`--loop`”参数就可以用这个程序创建嵌套循环的ZIP Quine了。不过它原本的代码不能修改里面生成的压缩包的名字，另外[压缩后的文件属性是隐藏文件](https://github.com/ruvmello/zip-quine-generator/blob/3b8cf977e7a93bb956ad966d5e3b4d503f410529/src/main/kotlin/zip/ZIPArchiver.kt#L845)，还有[生成的压缩包中文件的创建时间总是当前时间](https://github.com/ruvmello/zip-quine-generator/blob/3b8cf977e7a93bb956ad966d5e3b4d503f410529/src/main/kotlin/zip/ZIPArchiver.kt#L29)，以及[给文件内填充额外数据的代码里面填的是作者的声明](https://github.com/ruvmello/zip-quine-generator/blob/3b8cf977e7a93bb956ad966d5e3b4d503f410529/src/main/kotlin/zip/ZIPArchiver.kt#L30)，表示文件是由他论文的所写的生成器生成的……这些情况让我感觉有点不爽，还是希望这些部分能自定义一下，所以我就小改了一下他的代码。顺便一说，Kotlin编译起来还挺简单，直接一句`kotlinc src/main/kotlin -include-runtime -d output.jar`就可以了，也不需要折腾Maven之类乱七八糟的东西。最终我修改并编译完程序之后就把文件丢到服务器上开始给我爆破CRC32了，花了10个小时就算出来了，倒是比想象中快😂。
（2025.09.26更新）在2025年9月15日的时候，[Nate Choe](https://github.com/NateChoe1)给zip-quine-generator做了个[重大贡献](https://github.com/ruvmello/zip-quine-generator/pull/3)，他通过[数学的方式](https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm)让CRC32的值可以不需要通过爆破的方式算出来，现在想要再制作这样的压缩包就可以瞬间生成了……要是我再晚点做这个压缩包就不需要花那么长时间了吧🤣。
最终我给我的[Mabbs](https://github.com/Mabbs/Mabbs.Project)项目创建了[Infinite Mabbs](https://github.com/Mabbs/Mabbs.Project/releases/tag/Final-version)这个发布，生成的文件也可以在[这里](/assets/Mabbs.zip)下载，这也算是不枉我研究半天这个论文了😆。 最终我给我的[Mabbs](https://github.com/Mabbs/Mabbs.Project)项目创建了[Infinite Mabbs](https://github.com/Mabbs/Mabbs.Project/releases/tag/Final-version)这个发布，生成的文件也可以在[这里](/assets/Mabbs.zip)下载，这也算是不枉我研究半天这个论文了😆。
# 自产生程序的探索 # 自产生程序的探索