maximum security
This commit is contained in:
parent
3f4c96f079
commit
6ab25102bb
GPG key ID:
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4 changed files with 189 additions and 438 deletions
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|
||||
dependencies = [
|
||||
"serde_core",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_core"
|
||||
version = "1.0.228"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "41d385c7d4ca58e59fc732af25c3983b67ac852c1a25000afe1175de458b67ad"
|
||||
dependencies = [
|
||||
"serde_derive",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_derive"
|
||||
version = "1.0.228"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "d540f220d3187173da220f885ab66608367b6574e925011a9353e4badda91d79"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn 2.0.117",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "serde_json"
|
||||
version = "1.0.149"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "83fc039473c5595ace860d8c4fafa220ff474b3fc6bfdb4293327f1a37e94d86"
|
||||
dependencies = [
|
||||
"itoa",
|
||||
"memchr",
|
||||
"serde",
|
||||
"serde_core",
|
||||
"zmij",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "strum"
|
||||
version = "0.24.1"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "063e6045c0e62079840579a7e47a355ae92f60eb74daaf156fb1e84ba164e63f"
|
||||
dependencies = [
|
||||
"strum_macros",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "strum_macros"
|
||||
version = "0.24.3"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "1e385be0d24f186b4ce2f9982191e7101bb737312ad61c1f2f984f34bcf85d59"
|
||||
dependencies = [
|
||||
"heck 0.4.1",
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"rustversion",
|
||||
"syn 1.0.109",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "syn"
|
||||
version = "1.0.109"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "72b64191b275b66ffe2469e8af2c1cfe3bafa67b529ead792a6d0160888b4237"
|
||||
dependencies = [
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"unicode-ident",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "syn"
|
||||
version = "2.0.117"
|
||||
|
|
@ -404,10 +256,10 @@ dependencies = [
|
|||
]
|
||||
|
||||
[[package]]
|
||||
name = "take_mut"
|
||||
version = "0.2.2"
|
||||
name = "tap"
|
||||
version = "1.0.1"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "f764005d11ee5f36500a149ace24e00e3da98b0158b3e2d53a7495660d3f4d60"
|
||||
checksum = "55937e1799185b12863d447f42597ed69d9928686b8d88a1df17376a097d8369"
|
||||
|
||||
[[package]]
|
||||
name = "unicode-ident"
|
||||
|
|
@ -416,62 +268,10 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
|
|||
checksum = "e6e4313cd5fcd3dad5cafa179702e2b244f760991f45397d14d4ebf38247da75"
|
||||
|
||||
[[package]]
|
||||
name = "unicode-xid"
|
||||
version = "0.2.6"
|
||||
name = "wasi"
|
||||
version = "0.11.1+wasi-snapshot-preview1"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "ebc1c04c71510c7f702b52b7c350734c9ff1295c464a03335b00bb84fc54f853"
|
||||
|
||||
[[package]]
|
||||
name = "wasip2"
|
||||
version = "1.0.3+wasi-0.2.9"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "20064672db26d7cdc89c7798c48a0fdfac8213434a1186e5ef29fd560ae223d6"
|
||||
dependencies = [
|
||||
"wit-bindgen 0.57.1",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasip3"
|
||||
version = "0.4.0+wasi-0.3.0-rc-2026-01-06"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "5428f8bf88ea5ddc08faddef2ac4a67e390b88186c703ce6dbd955e1c145aca5"
|
||||
dependencies = [
|
||||
"wit-bindgen 0.51.0",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-encoder"
|
||||
version = "0.244.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "990065f2fe63003fe337b932cfb5e3b80e0b4d0f5ff650e6985b1048f62c8319"
|
||||
dependencies = [
|
||||
"leb128fmt",
|
||||
"wasmparser",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasm-metadata"
|
||||
version = "0.244.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "bb0e353e6a2fbdc176932bbaab493762eb1255a7900fe0fea1a2f96c296cc909"
|
||||
dependencies = [
|
||||
"anyhow",
|
||||
"indexmap",
|
||||
"wasm-encoder",
|
||||
"wasmparser",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wasmparser"
|
||||
version = "0.244.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "47b807c72e1bac69382b3a6fb3dbe8ea4c0ed87ff5629b8685ae6b9a611028fe"
|
||||
dependencies = [
|
||||
"bitflags",
|
||||
"hashbrown 0.15.5",
|
||||
"indexmap",
|
||||
"semver",
|
||||
]
|
||||
checksum = "ccf3ec651a847eb01de73ccad15eb7d99f80485de043efb2f370cd654f4ea44b"
|
||||
|
||||
[[package]]
|
||||
name = "windows-sys"
|
||||
|
|
@ -547,101 +347,30 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
|
|||
checksum = "589f6da84c646204747d1270a2a5661ea66ed1cced2631d546fdfb155959f9ec"
|
||||
|
||||
[[package]]
|
||||
name = "wit-bindgen"
|
||||
version = "0.51.0"
|
||||
name = "wyz"
|
||||
version = "0.5.1"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "d7249219f66ced02969388cf2bb044a09756a083d0fab1e566056b04d9fbcaa5"
|
||||
checksum = "05f360fc0b24296329c78fda852a1e9ae82de9cf7b27dae4b7f62f118f77b9ed"
|
||||
dependencies = [
|
||||
"wit-bindgen-rust-macro",
|
||||
"tap",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wit-bindgen"
|
||||
version = "0.57.1"
|
||||
name = "zerocopy"
|
||||
version = "0.8.48"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "1ebf944e87a7c253233ad6766e082e3cd714b5d03812acc24c318f549614536e"
|
||||
|
||||
[[package]]
|
||||
name = "wit-bindgen-core"
|
||||
version = "0.51.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "ea61de684c3ea68cb082b7a88508a8b27fcc8b797d738bfc99a82facf1d752dc"
|
||||
checksum = "eed437bf9d6692032087e337407a86f04cd8d6a16a37199ed57949d415bd68e9"
|
||||
dependencies = [
|
||||
"anyhow",
|
||||
"heck 0.5.0",
|
||||
"wit-parser",
|
||||
"zerocopy-derive",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wit-bindgen-rust"
|
||||
version = "0.51.0"
|
||||
name = "zerocopy-derive"
|
||||
version = "0.8.48"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "b7c566e0f4b284dd6561c786d9cb0142da491f46a9fbed79ea69cdad5db17f21"
|
||||
checksum = "70e3cd084b1788766f53af483dd21f93881ff30d7320490ec3ef7526d203bad4"
|
||||
dependencies = [
|
||||
"anyhow",
|
||||
"heck 0.5.0",
|
||||
"indexmap",
|
||||
"prettyplease",
|
||||
"syn 2.0.117",
|
||||
"wasm-metadata",
|
||||
"wit-bindgen-core",
|
||||
"wit-component",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wit-bindgen-rust-macro"
|
||||
version = "0.51.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "0c0f9bfd77e6a48eccf51359e3ae77140a7f50b1e2ebfe62422d8afdaffab17a"
|
||||
dependencies = [
|
||||
"anyhow",
|
||||
"prettyplease",
|
||||
"proc-macro2",
|
||||
"quote",
|
||||
"syn 2.0.117",
|
||||
"wit-bindgen-core",
|
||||
"wit-bindgen-rust",
|
||||
"syn",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wit-component"
|
||||
version = "0.244.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "9d66ea20e9553b30172b5e831994e35fbde2d165325bec84fc43dbf6f4eb9cb2"
|
||||
dependencies = [
|
||||
"anyhow",
|
||||
"bitflags",
|
||||
"indexmap",
|
||||
"log",
|
||||
"serde",
|
||||
"serde_derive",
|
||||
"serde_json",
|
||||
"wasm-encoder",
|
||||
"wasm-metadata",
|
||||
"wasmparser",
|
||||
"wit-parser",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "wit-parser"
|
||||
version = "0.244.0"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "ecc8ac4bc1dc3381b7f59c34f00b67e18f910c2c0f50015669dde7def656a736"
|
||||
dependencies = [
|
||||
"anyhow",
|
||||
"id-arena",
|
||||
"indexmap",
|
||||
"log",
|
||||
"semver",
|
||||
"serde",
|
||||
"serde_derive",
|
||||
"serde_json",
|
||||
"unicode-xid",
|
||||
"wasmparser",
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "zmij"
|
||||
version = "1.0.21"
|
||||
source = "registry+https://github.com/rust-lang/crates.io-index"
|
||||
checksum = "b8848ee67ecc8aedbaf3e4122217aff892639231befc6a1b58d29fff4c2cabaa"
|
||||
|
|
|
|||
|
|
@ -6,7 +6,8 @@ description = "toy implementation of diffie-hellman key exchange"
|
|||
homepage = "https://g.pyrope.net/diffie-hellman"
|
||||
|
||||
[dependencies]
|
||||
ntt = "0.1.9"
|
||||
primes = "0.4.0"
|
||||
rand = "0.10.1"
|
||||
num-bigint = { version = "0.4.6", features = ["rand"] }
|
||||
num-prime = "0.5.0"
|
||||
num-traits = "0.2.19"
|
||||
rand = "0.8"
|
||||
rpassword = "7.4.0"
|
||||
|
|
|
|||
|
|
@ -1,5 +1,5 @@
|
|||
# toy Diffie-Hellman key exchange
|
||||
Only works for ~most 32 bit unsigned-integers.
|
||||
Uses 256-bit Sophie-Germain primes for stuff
|
||||
|
||||
```
|
||||
nix run git+https://git.pyrope.net/mbk/diffie-hellman
|
||||
|
|
@ -7,9 +7,5 @@ nix run git+https://git.pyrope.net/mbk/diffie-hellman
|
|||
|
||||
Run with
|
||||
- 0 arguments to generate a public `p` and `g`
|
||||
- 2 arguments (`p` and `g`) to generate the public `g^a mod p`
|
||||
- 3 arguments (`p`, `g`, and `g^b mod p`) to generate the final shared secret
|
||||
|
||||
`a` is provided with a passwordlike input.
|
||||
You have to make your own `a`, sorry
|
||||
- 2 arguments (`p` and `g`) to start with a given `p` and `g`
|
||||
|
||||
|
|
|
|||
83
src/main.rs
83
src/main.rs
|
|
@ -1,46 +1,71 @@
|
|||
use std::{env, thread, time::Duration};
|
||||
use std::env;
|
||||
|
||||
use ntt::{mod_exp, primitive_root};
|
||||
use primes::is_prime;
|
||||
use rand::{CryptoRng, RngExt};
|
||||
use num_bigint::BigUint;
|
||||
use num_prime::{
|
||||
RandPrime,
|
||||
nt_funcs::{factors, is_prime},
|
||||
};
|
||||
use num_traits::One;
|
||||
|
||||
fn main() {
|
||||
if let Some(Ok(p)) = env::args().nth(1).map(|s| s.parse::<u32>())
|
||||
&& let Some(Ok(g)) = env::args().nth(2).map(|s| s.parse::<u32>())
|
||||
let mut rng = rand::thread_rng();
|
||||
|
||||
let (p, g) = if let Some(Ok(p)) = env::args().nth(1).map(|s| s.parse::<BigUint>())
|
||||
&& let Some(Ok(g)) = env::args().nth(2).map(|s| s.parse::<BigUint>())
|
||||
{
|
||||
let a = rpassword::prompt_password("a = ").unwrap();
|
||||
let a = a.parse::<u32>().unwrap();
|
||||
|
||||
if let Some(Ok(gb)) = env::args().nth(3).map(|s| s.parse::<u32>()) {
|
||||
let s = mod_exp(i64::from(gb), i64::from(a), i64::from(p));
|
||||
|
||||
println!("SECRET IN FIVE SECONDS");
|
||||
thread::sleep(Duration::from_secs(5));
|
||||
println!("s = {s}");
|
||||
(p, g)
|
||||
} else {
|
||||
println!(
|
||||
"gª mod p = {}",
|
||||
mod_exp(i64::from(g), i64::from(a), i64::from(p))
|
||||
);
|
||||
}
|
||||
} else {
|
||||
let rng = rand::rng();
|
||||
|
||||
let (p, g) = gen_pub(rng);
|
||||
gen_pub(&mut rng)
|
||||
};
|
||||
|
||||
println!("p = {p}, g = {g}");
|
||||
}
|
||||
|
||||
let a: BigUint = rng.gen_safe_prime(256);
|
||||
println!("a = {a}");
|
||||
|
||||
let ga = g.modpow(&a, &p);
|
||||
println!("g^a mod p = {ga}");
|
||||
|
||||
let gb: BigUint = rpassword::prompt_password("g^b mod p = ")
|
||||
.unwrap()
|
||||
.parse()
|
||||
.unwrap();
|
||||
|
||||
let s = gb.modpow(&a, &p);
|
||||
println!("s = {s}");
|
||||
}
|
||||
|
||||
fn gen_pub(mut rng: impl CryptoRng + RngExt) -> (u32, u32) {
|
||||
fn gen_pub(mut rng: impl RandPrime<BigUint>) -> (BigUint, BigUint) {
|
||||
loop {
|
||||
let p: u32 = rng.random();
|
||||
if !is_prime(u64::from(p)) {
|
||||
let p = rng.gen_safe_prime(256);
|
||||
|
||||
if !is_prime(&p, None).probably() {
|
||||
continue;
|
||||
}
|
||||
|
||||
if let Ok(g) = primitive_root(i64::from(p), 1).try_into() {
|
||||
if let Some(g) = primitive_root(&p) {
|
||||
return (p, g);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
fn primitive_root(p: &BigUint) -> Option<BigUint> {
|
||||
let one = BigUint::one();
|
||||
let phi = p - &one;
|
||||
let (factors, None) = factors(phi.clone(), None) else {
|
||||
return None;
|
||||
};
|
||||
|
||||
let mut g = BigUint::from(2u8);
|
||||
while &g < p {
|
||||
let is_primitive = factors.keys().all(|q| {
|
||||
let exp = &phi / q;
|
||||
g.modpow(&exp, p) != one
|
||||
});
|
||||
if is_primitive {
|
||||
return Some(g);
|
||||
}
|
||||
g += &one;
|
||||
}
|
||||
None
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in a new issue