diff options
Diffstat (limited to 'source/know/concept/diffie-hellman-key-exchange')
| -rw-r--r-- | source/know/concept/diffie-hellman-key-exchange/index.md | 16 |
1 files changed, 9 insertions, 7 deletions
diff --git a/source/know/concept/diffie-hellman-key-exchange/index.md b/source/know/concept/diffie-hellman-key-exchange/index.md index 3525881..a6e0894 100644 --- a/source/know/concept/diffie-hellman-key-exchange/index.md +++ b/source/know/concept/diffie-hellman-key-exchange/index.md @@ -32,19 +32,22 @@ there is no efficient algorithm to recover $$n$$. Suppose that Alice and Bob want to exchange encrypted data in the future, so they need to agree on an encryption key to use. -However, they can only exchange messages with each other over +However, they can only exchange messages over an insecure channel, which is being eavesdropped. After they publicly agree on the values of $$g$$ and $$p$$, -Alice and Bob each choose a secret number from $$\{0, ..., p \!-\! 2\}$$, respectively $$a$$ and $$b$$, +Alice and Bob each choose a secret number from $$\{0, ..., p \!-\! 2\}$$, +respectively $$a$$ and $$b$$, and then privately calculate $$A$$ and $$B$$ as follows: $$\begin{aligned} A - \equiv g^a \bmod p - \qquad \qquad + &\equiv f(a) + = g^a \bmod p + \\ B - \equiv g^b \bmod p + &\equiv f(b) + = g^b \bmod p \end{aligned}$$ Finally, they transmit these numbers $$A$$ and $$B$$ @@ -69,8 +72,7 @@ but cannot recover $$a$$ or $$b$$. This assumption is just that: an assumption. So far, nobody has been able to prove or disprove it for classical computation. -However, for quantum computers, -it has already been *dis*proven! +However, for quantum computers, it has already been *dis*proven! In this case, another method must be used, for example the [BB84 protocol](/know/concept/bb84-protocol/). |