From ce4b7fecf04a18a0aab30364af3fc01710f2336b Mon Sep 17 00:00:00 2001 From: marcellus Date: Thu, 22 May 2025 11:22:17 +0200 Subject: update: Thursday 4 May, 11:22:17 from IUseArchBTW --- CHIFR/TD/TD5 - Kyber.md | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 CHIFR/TD/TD5 - Kyber.md diff --git a/CHIFR/TD/TD5 - Kyber.md b/CHIFR/TD/TD5 - Kyber.md new file mode 100644 index 0000000..26859b5 --- /dev/null +++ b/CHIFR/TD/TD5 - Kyber.md @@ -0,0 +1,22 @@ +# Le cryptosystème Kyber +## STA Flashback +$$ +\begin{align} +&a = 4X^2 + 7X + 1 \\ +&b = 3X^2 + 2 +\end{align} +$$ +### a) +- $a+b = 7X^2 + 7X + 3$ +- $a \cdot b = 12X^4 + 8X^2 + 21X^3 + 14X + 3X^2 + 2 = 12X^4 + 21X^3 + 11X^2 + 14X + 2$ +### b) +$X^3 = -1, \, X^4 = -X$ +- $a+b = 7X^2 + 7X + 3$ +- $a\cdot b = -12X -21 + 11X^2 + 14X + 2 = 11X^2 + 2X -19$ +### c) +$X^3 = -1, \, X^4 = -X$ +- $a+b = 7X^2 + 7X + 3$ +- $a\cdot b = 2X^2 + 2X + 8$ + +## Kyber +### a) -- cgit v1.2.3