type
status
date
summary
password
category
slug
icon
从训练跳出来了,遇见几道道NTRU,浅浅学一下,再去写题吧
目录
🤭数域上
私钥(f,g)
产生随机数f,g
构造格
构造A,可以规约出来f,g
😣环上
![notion image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2Fb3c09ab2-6361-4a9f-acfe-1e0ad44a697f%2FUntitled.png?table=block&id=b7886720-55a2-4020-9001-5621bf5bdb31)
![notion image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F1ff09ba0-4c2c-4cbd-94b1-c3704f16ea21%2FUntitled.png?table=block&id=78b3ad2e-d10d-4745-b5be-4e4719705632)
![notion image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2Fa2d0fad3-4081-4ecd-b326-e6665696c05e%2FUntitled.png?table=block&id=e3b7b305-e944-4e1c-9577-ccc3a25f4ae6)
💻相关代码
d1个系数为1和d2个系数为-1其余系数为0的三值多项式
限制系数,采用最小剩余系
在商环,求逆
q不一定为素数为2的幂次,求逆
密钥的生成
p一般为3,d大约为N/3
加密
解密
attack
📝 例题
极客巅峰NTURE
🌹题目
📑题解
数域上
分析已知
解密
构造格,求f,g
🪄wp
[HITCON 2022]Easy NTRU
🌹题目
📑题解
刚做过的题,感觉一样,然后照着写,发现上不可逆
![notion image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F0d09758e-7599-49d5-b0c3-98fd30dcd7b2%2FUntitled.png?table=block&id=fc539391-0577-40a4-8814-4cba3dd192b5)
retransmission attack,求个伪逆即可
NTRU新型广播攻击
![notion image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2Fdce39d44-7118-4fed-9563-84957f725c2d%2FUntitled.png?table=block&id=51653a65-9509-4eb4-abbf-09922b911fac)
![notion image](https://www.notion.so/image/https%3A%2F%2Fs3-us-west-2.amazonaws.com%2Fsecure.notion-static.com%2F57540f82-a5b4-4de9-9566-d8fac9256a5b%2FUntitled.png?table=block&id=a9f1f2e7-9c15-4444-ab72-d7fd3e07b308)
🪄wp
🤗 总结归纳
1.基本上就是构造格,求私钥f,g 2.retransmission attack,求个伪逆
📎 参考文章
爱密码🤥🤥🤥🤥