X老师怀疑一些调皮的学生在一次自动化计算机测试中作弊，他使用抓包工具捕获到了Alice和Bob的通信流量。狡猾的Alice和Bob同学好像使用某些加密方式隐藏通信内容，使得X老师无法破解它，也许你有办法帮助X老师。X老师知道Alice的RSA密钥为(n, e) = (0x53a121a11e36d7a84dde3f5d73cf, 0x10001) (192.168.0.13)?,Bob的RSA密钥为(n, e) =(0x99122e61dc7bede74711185598c7, 0x10001) (192.168.0.37)
对于拿到的流量包，这里直接追踪一下tcp流
可以发现很多base64加密的密文
这里随便挑选一个进行解密
可以看到解密的结果
这里写个脚本批量化解密一下
from base64 import b64decode
#1.txt为从流量包中提取的base64编码值
a = open("1.txt", "r").readlines()
for i in a:
print(str(b64decode(i), encoding="utf-8"))然后可以得到
通过对数据的观察可以猜测seq为消息的发送顺序，然后data为加密的密文，sig为rsa的消息签名
对于rsa
- 加解密过程简述
A和B进行通信加密,B要先生成一对RSA密钥,B自己持有私钥,给A公钥 —>A使用B的公钥加密要发送的内容,然后B接收到密文后通过自己的私钥解密内容 - 签名验签过程简述
A给B发送消息,A先计算出消息的消息摘要,然后使用自己的私钥加密消息摘要,被加密的消息摘要就是签名.(A用自己的私钥给消息摘要加密成为签名)
B收到消息后,也会使用和A相同的方法提取消息摘要,然后用A的公钥解密签名,并与自己计算出来的消息摘要进行比较–>如果相同则说明消息是A发送给B的,同时,A也无法否认自己发送消息给B的事实.(B使用A的公钥解密签名文件的过程,叫做”验签”).
这里是A利用B的公钥对消息进行加密，然后利用自己的私钥对消息进行签名
所以我们看到的base64密文都是由Alice发送给Bob的，具体的可以看流量包的内容
所以对于我们拿到的密文，我们可以使用Bob的私钥对data进行解密，这样就得到了Alice加密的消息
但是，观察解密的内容可以发现有好多个相同的seq，所以不排除消息被篡改的可能性，所以需要对签名进行验证
对于签名的验证，可以使用Bob的私钥解密出data的值为M，然后因为我们已知Alice的私钥所以直接利用私钥对M进行签名，然后与我们得到的签名进行比对，如果相同就说明消息没有被篡改
以下为具体脚本
"""
Alice的RSA密钥为(n, e) = (0x53a121a11e36d7a84dde3f5d73cf, 0x10001) (192.168.0.13)
Bob的RSA密钥为(n, e) =(0x99122e61dc7bede74711185598c7, 0x10001) (192.168.0.37)
"""
from Crypto.Util.number import *
from base64 import b64decode
An = int(0x53a121a11e36d7a84dde3f5d73cf)
Ae = 0x10001
Ap = 38456719616722997
Aq = 44106885765559411
Aphi = (Ap-1) * (Aq-1)
Ad = inverse(Ae, Aphi)
Bn = int(0x99122e61dc7bede74711185598c7)
Be = 0x10001
Bp = 49662237675630289
Bq = 62515288803124247
Bphi = (Bp-1) * (Bq-1)
Bd = inverse(Be, Bphi)
#1.txt为从流量包中提取的base64编码值
a = open("1.txt", "r").readlines()
flag = [0 for i in range(33)]
for i in a:
tmp = str(b64decode(i), encoding="utf-8")
#计算下标
ind = tmp[tmp.find("=")+2:tmp.find(";")]
#提取出data
data = tmp[tmp.find("DATA")::]
data = data[0:data.find("L")]
data = data[data.find("=")+2::]
#提取出签名
sig = tmp[tmp.find("SIG")::]
sig = sig[sig.find("=")+2:-2]
#对data进行解密
dec = long_to_bytes(pow(int(data, 16), Bd, Bn))
#利用Alice的私钥对解密的data进行签名验证
if(sig == hex(pow(bytes_to_long(dec), Ad, An))):
flag[int(ind)] = str(dec, encoding="utf-8")
print(''.join(flag))其中1.txt的值为：
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