diff --git a/README.md b/README.md index 3cc1c9f..8a7fc7c 100644 --- a/README.md +++ b/README.md @@ -1,64 +1,5 @@ -# Shamir Secret Sharing [![Go Report Card](https://goreportcard.com/badge/github.com/arnaucube/shamirsecretsharing)](https://goreportcard.com/report/github.com/arnaucube/shamirsecretsharing) [![GoDoc](https://godoc.org/github.com/arnaucube/shamirsecretsharing?status.svg)](https://godoc.org/github.com/arnaucube/shamirsecretsharing) -This repo contains a Go lang implementation of Shamir Secret Sharing, and a compiled Web Assembly version from the Go code to be used from the browser. +# Shamir's Secret Sharing +This repo contains `Rust` & `Go` implementations of [Shamir's Secret Sharing](https://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing) algorithm. The `Go` implementation also has a compiled Web Assembly (WASM) version from the Go code to be used from the browser. -- https://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing - -## Wasm usage -Compile to wasm, inside the `wasm` directory, execute: -``` -GOARCH=wasm GOOS=js go build -o shamirsecretsharing.wasm shamirsecretsharing-wasm-wrapper.go -``` - -Add the file `wasm_exec.js` in the directory: -``` -cp "$(go env GOROOT)/misc/wasm/wasm_exec.js" . -``` - -Call the library from javascript: -```js -// Create shares from a secret -// nNeededShares: number of secrets needed -// nShares: number of shares -// p: random point -// k: secret to share -createShares(nNeededShares, nShares, p, k); -``` - -## Usage from Go -```go -// define secret to share -k, ok := new(big.Int).SetString("123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890", 10) -assert.True(t, ok) - -// define random prime -p, err := rand.Prime(rand.Reader, bits/2) -assert.Nil(t, err) - -// define how many shares want to generate -nShares := big.NewInt(int64(6)) - -// define how many shares are needed to recover the secret -nNeededShares := big.NewInt(int64(3)) - -// create the shares -shares, err := Create( - nNeededShares, - nShares, - p, - big.NewInt(int64(k))) -assert.Nil(t, err) - -// select shares to use -var sharesToUse [][]*big.Int -sharesToUse = append(sharesToUse, shares[2]) -sharesToUse = append(sharesToUse, shares[1]) -sharesToUse = append(sharesToUse, shares[0]) - -// recover the secret using Lagrange Interpolation -secr := LagrangeInterpolation(sharesToUse, p) - -// check that the restored secret matches the original secret -if !bytes.Equal(k.Bytes(), secr.Bytes()) { - fmt.Println("reconstructed secret not correspond to original secret") -} -``` +- `go`: [go-shamirsecretsharing](https://github.com/arnaucube/shamirsecretsharing/tree/master/go-shamirsecretsharing): Go lib + WASM lib +- `rust`: [shamirsecretsharing-rs](https://github.com/arnaucube/shamirsecretsharing/tree/master/shamirsecretsharing-rs) diff --git a/go-shamirsecretsharing/LICENSE b/go-shamirsecretsharing/LICENSE new file mode 100644 index 0000000..f288702 --- /dev/null +++ b/go-shamirsecretsharing/LICENSE @@ -0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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It is safest +to attach them to the start of each source file to most effectively +state the exclusion of warranty; and each file should have at least +the "copyright" line and a pointer to where the full notice is found. + + + Copyright (C) + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + Copyright (C) + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. diff --git a/go-shamirsecretsharing/README.md b/go-shamirsecretsharing/README.md new file mode 100644 index 0000000..4414fb1 --- /dev/null +++ b/go-shamirsecretsharing/README.md @@ -0,0 +1,66 @@ +# go-shamirsecretsharing [![Go Report Card](https://goreportcard.com/badge/github.com/arnaucube/shamirsecretsharing)](https://goreportcard.com/report/github.com/arnaucube/shamirsecretsharing) [![GoDoc](https://godoc.org/github.com/arnaucube/shamirsecretsharing?status.svg)](https://godoc.org/github.com/arnaucube/shamirsecretsharing) +Shamir's Secret Sharing in Go lib + WASM lib + +This directory contains a Go lang implementation of Shamir's Secret Sharing, and a compiled Web Assembly version from the Go code to be used from the browser. + +- https://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing + +## Wasm usage +Compile to wasm, inside the `wasm` directory, execute: +``` +GOARCH=wasm GOOS=js go build -o shamirsecretsharing.wasm shamirsecretsharing-wasm-wrapper.go +``` + +Add the file `wasm_exec.js` in the directory: +``` +cp "$(go env GOROOT)/misc/wasm/wasm_exec.js" . +``` + +Call the library from javascript: +```js +// Create shares from a secret +// nNeededShares: number of secrets needed +// nShares: number of shares +// p: random point +// k: secret to share +createShares(nNeededShares, nShares, p, k); +``` + +## Usage from Go +```go +// define secret to share +k, ok := new(big.Int).SetString("123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890", 10) +assert.True(t, ok) + +// define random prime +p, err := rand.Prime(rand.Reader, bits/2) +assert.Nil(t, err) + +// define how many shares want to generate +nShares := big.NewInt(int64(6)) + +// define how many shares are needed to recover the secret +nNeededShares := big.NewInt(int64(3)) + +// create the shares +shares, err := Create( + nNeededShares, + nShares, + p, + big.NewInt(int64(k))) +assert.Nil(t, err) + +// select shares to use +var sharesToUse [][]*big.Int +sharesToUse = append(sharesToUse, shares[2]) +sharesToUse = append(sharesToUse, shares[1]) +sharesToUse = append(sharesToUse, shares[0]) + +// recover the secret using Lagrange Interpolation +secr := LagrangeInterpolation(sharesToUse, p) + +// check that the restored secret matches the original secret +if !bytes.Equal(k.Bytes(), secr.Bytes()) { + fmt.Println("reconstructed secret not correspond to original secret") +} +``` diff --git a/go.mod b/go-shamirsecretsharing/go.mod similarity index 100% rename from go.mod rename to go-shamirsecretsharing/go.mod diff --git a/go.sum b/go-shamirsecretsharing/go.sum similarity index 100% rename from go.sum rename to go-shamirsecretsharing/go.sum diff --git a/shamirsecretsharing.go b/go-shamirsecretsharing/shamirsecretsharing.go similarity index 100% rename from shamirsecretsharing.go rename to go-shamirsecretsharing/shamirsecretsharing.go diff --git a/shamirsecretsharing_test.go b/go-shamirsecretsharing/shamirsecretsharing_test.go similarity index 100% rename from shamirsecretsharing_test.go rename to go-shamirsecretsharing/shamirsecretsharing_test.go diff --git a/wasm/.gitignore b/go-shamirsecretsharing/wasm/.gitignore similarity index 70% rename from wasm/.gitignore rename to go-shamirsecretsharing/wasm/.gitignore index d5f19d8..41c8ec1 100644 --- a/wasm/.gitignore +++ b/go-shamirsecretsharing/wasm/.gitignore @@ -1,2 +1,3 @@ node_modules package-lock.json +wasm_exec.js diff --git a/go-shamirsecretsharing/wasm/index.html b/go-shamirsecretsharing/wasm/index.html new file mode 100644 index 0000000..4415eb7 --- /dev/null +++ b/go-shamirsecretsharing/wasm/index.html @@ -0,0 +1,23 @@ + + + + shamirsecretsharing wasm + + + + + + + + + + + + + diff --git a/go-shamirsecretsharing/wasm/index.js b/go-shamirsecretsharing/wasm/index.js new file mode 100644 index 0000000..44d6c46 --- /dev/null +++ b/go-shamirsecretsharing/wasm/index.js @@ -0,0 +1,10 @@ +function callCreateShares() { + let secret = document.getElementById("secret").value; + let nShares = document.getElementById("nShares").value; + let nNeededShares = document.getElementById("nNeededShares").value; + let p = document.getElementById("p").value; + console.log(p) + + let r = createShares(nNeededShares, nShares, p, secret); + console.log("r", r); +} diff --git a/wasm/package.json b/go-shamirsecretsharing/wasm/package.json similarity index 100% rename from wasm/package.json rename to go-shamirsecretsharing/wasm/package.json diff --git a/wasm/server.js b/go-shamirsecretsharing/wasm/server.js similarity index 100% rename from wasm/server.js rename to go-shamirsecretsharing/wasm/server.js diff --git a/wasm/shamirsecretsharing-wasm-wrapper.go b/go-shamirsecretsharing/wasm/shamirsecretsharing-wasm-wrapper.go similarity index 91% rename from wasm/shamirsecretsharing-wasm-wrapper.go rename to go-shamirsecretsharing/wasm/shamirsecretsharing-wasm-wrapper.go index 90ce0d5..f4de80f 100644 --- a/wasm/shamirsecretsharing-wasm-wrapper.go +++ b/go-shamirsecretsharing/wasm/shamirsecretsharing-wasm-wrapper.go @@ -1,7 +1,6 @@ package main import ( - "crypto/rand" "math/big" "syscall/js" @@ -35,11 +34,11 @@ func createShares(this js.Value, i []js.Value) interface{} { if !ok { println("error parsing parameter in position 2") } - bits := 2048 - p, err := rand.Prime(rand.Reader, bits/2) // move this out from wasm, it tooks too much time - if err != nil { - println(err.Error()) - } + // bits := 2048 + // p, err := rand.Prime(rand.Reader, bits/2) // move this out from wasm, it tooks too much time + // if err != nil { + // println(err.Error()) + // } k, ok := new(big.Int).SetString(i[3].String(), 10) if !ok { println("error parsing parameter in position 3") @@ -56,7 +55,7 @@ func createShares(this js.Value, i []js.Value) interface{} { println("shares", shares) sharesStr := sharesToString(shares) println("sharesStr", sharesStr) - return nil + return js.ValueOf(sharesStr) } func sharesToString(shares [][]*big.Int) []string { @@ -98,5 +97,5 @@ func lagrangeInterpolation(this js.Value, i []js.Value) interface{} { secr := shamirsecretsharing.LagrangeInterpolation(p, shares) println(secr.String()) - return nil + return js.ValueOf(secr) } diff --git a/wasm/shamirsecretsharing.wasm b/go-shamirsecretsharing/wasm/shamirsecretsharing.wasm similarity index 54% rename from wasm/shamirsecretsharing.wasm rename to go-shamirsecretsharing/wasm/shamirsecretsharing.wasm index dd1a3c2..00c757f 100755 Binary files a/wasm/shamirsecretsharing.wasm and b/go-shamirsecretsharing/wasm/shamirsecretsharing.wasm differ diff --git a/shamirsecretsharing-rs/.gitignore b/shamirsecretsharing-rs/.gitignore new file mode 100644 index 0000000..ea8c4bf --- /dev/null +++ b/shamirsecretsharing-rs/.gitignore @@ -0,0 +1 @@ +/target diff --git a/shamirsecretsharing-rs/Cargo.lock b/shamirsecretsharing-rs/Cargo.lock new file mode 100644 index 0000000..a67d394 --- /dev/null +++ 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If not, see . + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + Copyright (C) + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. diff --git a/shamirsecretsharing-rs/README.md b/shamirsecretsharing-rs/README.md new file mode 100644 index 0000000..3b6ae4c --- /dev/null +++ b/shamirsecretsharing-rs/README.md @@ -0,0 +1,21 @@ +# shamirsecretsharing-rs +Shamir's Secret Sharing in Rust + + +## Usage +```rust +// create 6 shares from k, given the rand p +// where to recover will be needed 3 shares +let s = create(3, 6, &p, &k); + +// now set 3 of the 6 shares, to be used to recover the secret +let mut shares_to_use: Vec<[BigInt;2]> = Vec::new(); +shares_to_use.push(s[2].clone()); +shares_to_use.push(s[1].clone()); +shares_to_use.push(s[0].clone()); + +// recover the secret using Lagrange Interpolation +let r = lagrange_interpolation(&p, shares_to_use); +assert_eq!(k, r); +// r is the secret recovered (k) +``` diff --git a/shamirsecretsharing-rs/src/lib.rs b/shamirsecretsharing-rs/src/lib.rs new file mode 100644 index 0000000..a8a56c7 --- /dev/null +++ b/shamirsecretsharing-rs/src/lib.rs @@ -0,0 +1,154 @@ +extern crate rand; +extern crate num; +extern crate num_bigint; +extern crate num_traits; + +use num_bigint::RandBigInt; +use num::pow::pow; + + +use num_bigint::{BigInt, ToBigInt}; +use num_traits::{Zero, One}; + +fn modulus(a: &BigInt, m: &BigInt) -> BigInt { + ((a%m) + m) % m +} + +pub fn create(t: u32, n: u32,p: &BigInt, k: &BigInt) -> Vec<[BigInt;2]> { + // t: number of secrets needed + // n: number of shares + // p: random point + // k: secret to share + if k>p { + println!("\nERROR: need k = Vec::new(); + base_polynomial.push(k.clone()); + for _ in 0..t as usize-1 { + let mut rng = rand::thread_rng(); + let a = rng.gen_bigint(1024); + base_polynomial.push(a); + } + + // calculate shares, based on the base_polynomial + let mut shares: Vec = Vec::new(); + for i in 1..n+1 { + let mut p_res: BigInt = Zero::zero(); + let mut x = 0; + for pol_elem in &base_polynomial { + if x==0 { + p_res = p_res + pol_elem; + } else { + let i_pow = pow(i, x); + let curr_elem = i_pow * pol_elem; + p_res = p_res + curr_elem; + p_res = modulus(&p_res, p); + } + x = x+1; + } + shares.push(p_res); + } + pack_shares(shares) +} + +fn pack_shares(shares: Vec) -> Vec<[BigInt;2]> { + let mut r: Vec<[BigInt;2]> = Vec::new(); + for i in 0..shares.len() { + let curr: [BigInt;2] = [shares[i].clone(), (i+1).to_bigint().unwrap()]; + r.push(curr); + } + r +} + +fn unpack_shares(s: Vec<[BigInt;2]>) -> (Vec, Vec) { + let mut shares: Vec = Vec::new(); + let mut is: Vec = Vec::new(); + for i in 0..s.len() { + shares.push(s[i][0].clone()); + is.push(s[i][1].clone()); + } + (shares, is) +} + +fn mod_inverse(a: BigInt, module: BigInt) -> BigInt { + // TODO search biguint impl of mod_inv + let mut mn = (module.clone(), a); + let mut xy: (BigInt, BigInt) = (Zero::zero(), One::one()); + + let big_zero: BigInt = Zero::zero(); + while mn.1 != big_zero { + xy = (xy.1.clone(), xy.0 - (mn.0.clone() / mn.1.clone()) * xy.1); + mn = (mn.1.clone(), modulus(&mn.0, &mn.1)); + } + + while xy.0 < Zero::zero() { + xy.0 += module.clone(); + } + xy.0 +} + +pub fn lagrange_interpolation(p: &BigInt, shares_packed: Vec<[BigInt;2]>) -> BigInt { + let mut res_n: BigInt = Zero::zero(); + let mut res_d: BigInt = Zero::zero(); + let (shares, sh_i) = unpack_shares(shares_packed); + + for i in 0..shares.len() { + let mut lagrange_numerator: BigInt = One::one(); + let mut lagrange_denominator: BigInt = One::one(); + for j in 0..shares.len() { + if shares[i] != shares[j] { + let curr_l_numerator = &sh_i[j]; + let curr_l_denominator = &sh_i[j] - &sh_i[i]; + lagrange_numerator = lagrange_numerator * curr_l_numerator; + lagrange_denominator = lagrange_denominator * curr_l_denominator; + } + } + let numerator: BigInt = &shares[i] * &lagrange_numerator; + + let quo: BigInt = (&numerator / &lagrange_denominator) + (&lagrange_denominator ) % &lagrange_denominator; + if quo != Zero::zero() { + res_n = res_n + quo; + } else { + let res_n_mul_lagrange_den = res_n * &lagrange_denominator; + res_n = res_n_mul_lagrange_den + numerator; + res_d = res_d + lagrange_denominator; + } + } + let modinv_mul: BigInt; + if res_d != Zero::zero() { + let modinv = mod_inverse(res_d, p.clone()); + modinv_mul = res_n * modinv; + } else { + modinv_mul = res_n; + } + let r = modulus(&modinv_mul, &p); + r +} + + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn test_create_and_lagrange_interpolation() { + let mut rng = rand::thread_rng(); + let p = rng.gen_biguint(1024).to_bigint().unwrap(); + println!("p: {:?}", p); + let k = BigInt::parse_bytes(b"123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890", 10).unwrap(); + + let s = create(3, 6, &p, &k); + // println!("s: {:?}", s); + + let mut shares_to_use: Vec<[BigInt;2]> = Vec::new(); + shares_to_use.push(s[2].clone()); + shares_to_use.push(s[1].clone()); + shares_to_use.push(s[0].clone()); + let r = lagrange_interpolation(&p, shares_to_use); + println!("recovered secret: {:?}", r.to_string()); + println!("original secret: {:?}", k.to_string()); + assert_eq!(k, r); + } +} diff --git a/wasm/index.html b/wasm/index.html deleted file mode 100644 index 9d30fa9..0000000 --- a/wasm/index.html +++ /dev/null @@ -1,23 +0,0 @@ - - - - shamirsecretsharing wasm - - - - - - - - - - - - - diff --git a/wasm/index.js b/wasm/index.js deleted file mode 100644 index 823e303..0000000 --- a/wasm/index.js +++ /dev/null @@ -1,8 +0,0 @@ -function callCreateShares() { - let secret = Number(document.getElementById("secret").value); - let nShares = Number(document.getElementById("nShares").value); - let nNeededShares = Number(document.getElementById("nNeededShares").value); - let p = Number(document.getElementById("p").value); - - createShares(nNeededShares, nShares, p, secret); -}