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/**
* FPE-FF1 (Format-preserving encryption algorithm) specified in
* {@link https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-38G.pdf | NIST 800-38G}.
* @module
*/
import { unsafe } from "./aes.js";
import { abytes, anumber, bytesToNumberBE, clean, numberToBytesBE, } from "./utils.js";
// NIST SP 800-38G §4.3 / §5.1 Algorithm 7: FF1's designated CIPH_K here is AES, so this file
// reuses the reviewed AES key schedule and single-block encryption helpers.
// NOTE: no point in inlining encrypt instead of encryptBlock, since BigInt stuff will be slow
const { expandKeyLE, encryptBlock } = unsafe;
// Format-preserving encryption algorithm (FPE-FF1) specified in
// {@link https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-38G.pdf | NIST Special Publication 800-38G}.
const BLOCK_LEN = 16;
function mod(a, b) {
const result = a % b;
return result >= 0 ? result : b + result;
}
function NUMradix(radix, data) {
let res = BigInt(0);
for (let i of data)
res = res * BigInt(radix) + BigInt(i);
return res;
}
function getRound(radix, key, tweak, x) {
if (radix > 2 ** 16 - 1)
throw new Error('invalid radix ' + radix);
// radix**minlen ≥ 100
const minLen = Math.ceil(Math.log(100) / Math.log(radix));
const maxLen = 2 ** 32 - 1;
// 2 ≤ minlen ≤ maxlen < 2**32
if (2 > minLen || minLen > maxLen || maxLen >= 2 ** 32)
throw new Error('Invalid radix: 2 ≤ minlen ≤ maxlen < 2**32');
if (!Array.isArray(x))
throw new Error('invalid X');
if (x.length < minLen || x.length > maxLen)
throw new Error('X is outside minLen..maxLen bounds');
// SP 800-38G defines FF1 over numeral strings in base `radix`; out-of-range digits must fail
// before NUMradix(...) or round splitting can reinterpret them as a different numeral string.
for (const i of x) {
if (!Number.isSafeInteger(i) || i < 0 || i >= radix)
throw new Error('invalid X: digit outside radix');
}
const u = Math.floor(x.length / 2);
const v = x.length - u;
const b = Math.ceil(Math.ceil(v * Math.log2(radix)) / 8);
const d = 4 * Math.ceil(b / 4) + 4;
const padding = mod(-tweak.length - b - 1, 16);
// P = [1]1 || [2]1 || [1]1 || [radix]3 || [10]1 || [u mod 256]1 || [n]4 || [t]4.
const P = Uint8Array.from([1, 2, 1, 0, 0, 0, 10, u, 0, 0, 0, 0, 0, 0, 0, 0]);
const view = new DataView(P.buffer);
// NIST SP 800-38G §5.1 bounds radix <= 2^16, so the 24-bit [radix]3 field is encoded here as
// 0x00 || uint16_be(radix).
view.setUint16(4, radix, false);
view.setUint32(8, x.length, false);
view.setUint32(12, tweak.length, false);
// Q = T || [0](tb1) mod 16 || [i]1 || [NUMradix(B)]b.
const PQ = new Uint8Array(P.length + tweak.length + padding + 1 + b);
PQ.set(P);
clean(P);
PQ.set(tweak, P.length);
const xk = expandKeyLE(key);
const round = (A, B, i, decrypt = false) => {
// Q = ... || [i]1 || [NUMradix(B)]b.
PQ[PQ.length - b - 1] = i;
if (b)
PQ.set(numberToBytesBE(NUMradix(radix, B), b), PQ.length - b);
// NIST SP 800-38G Algorithm 6 PRF: Y_j = CIPH_K(Y_(j-1) xor X_j) starting from Y_0 = 0^128.
let r = new Uint8Array(16);
for (let j = 0; j < PQ.length / BLOCK_LEN; j++) {
for (let i = 0; i < BLOCK_LEN; i++)
r[i] ^= PQ[j * BLOCK_LEN + i];
encryptBlock(xk, r);
}
// Let S be the first d bytes of the following string of ⎡d/16⎤ blocks:
// R || CIPHK(R ⊕[1]16) || CIPHK(R ⊕[2]16) ...CIPHK(R ⊕[⎡d / 16⎤ 1]16).
let s = Array.from(r);
for (let j = 1; s.length < d; j++) {
const block = numberToBytesBE(BigInt(j), 16);
for (let k = 0; k < BLOCK_LEN; k++)
block[k] ^= r[k];
s.push(...Array.from(encryptBlock(xk, block)));
}
let y = bytesToNumberBE(Uint8Array.from(s.slice(0, d)));
s.fill(0);
if (decrypt)
y = -y;
const m = i % 2 === 0 ? u : v;
let c = mod(NUMradix(radix, A) + y, BigInt(radix) ** BigInt(m));
// STR(radix, m, c)
const C = Array(m).fill(0);
for (let i = 0; i < m; i++, c /= BigInt(radix))
C[m - 1 - i] = Number(c % BigInt(radix));
A.fill(0);
A = B;
B = C;
return [A, B];
};
const destroy = () => {
clean(xk, PQ);
};
return { u, round, destroy };
}
const EMPTY_BUF = /* @__PURE__ */ Uint8Array.of();
/**
* FPE-FF1 format-preserving encryption.
* @param radix - Alphabet size for each input digit.
* @param key - AES key bytes.
* @param tweak - Optional tweak bytes.
* @returns Encrypt/decrypt helpers over digit arrays.
* @example
* Encrypts decimal digits without changing their format, using a fresh AES key.
*
* ```ts
* import { FF1 } from '@noble/ciphers/ff1.js';
* import { randomBytes } from '@noble/ciphers/utils.js';
* const key = randomBytes(16);
* const ff1 = FF1(10, key);
* ff1.encrypt([1, 2, 3]);
* ```
*/
export function FF1(radix, key, tweak = EMPTY_BUF) {
anumber(radix);
abytes(key);
abytes(tweak);
// This borrows caller key/tweak buffers by reference through the bound closure; mutating them
// after construction changes later encrypt/decrypt outputs.
const PQ = getRound.bind(null, radix, key, tweak);
return {
encrypt(x) {
const { u, round, destroy } = PQ(x);
let [A, B] = [x.slice(0, u), x.slice(u)];
for (let i = 0; i < 10; i++)
[A, B] = round(A, B, i);
destroy();
const res = A.concat(B);
A.fill(0);
B.fill(0);
return res;
},
decrypt(x) {
const { u, round, destroy } = PQ(x);
// The FF1.Decrypt algorithm is similar to the FF1.Encrypt algorithm;
// the differences are in Step 6, where:
// 1) the order of the indices is reversed,
// 2) the roles of A and B are swapped
// 3) modular addition is replaced by modular subtraction, in Step 6vi.
let [B, A] = [x.slice(0, u), x.slice(u)];
for (let i = 9; i >= 0; i--)
[A, B] = round(A, B, i, true);
destroy();
const res = B.concat(A);
A.fill(0);
B.fill(0);
return res;
},
};
}
// Binary wrapper uses little-endian bit order within each byte so bit 0 stays
// in the first numeral slot for this library-defined byte-array surface.
const binLE = {
encode(bytes) {
const x = [];
for (let i = 0; i < bytes.length; i++) {
for (let j = 0, tmp = bytes[i]; j < 8; j++, tmp >>= 1)
x.push(tmp & 1);
}
return x;
},
decode(b) {
if (!Array.isArray(b) || b.length % 8)
throw new Error('Invalid binary string');
const res = new Uint8Array(b.length / 8);
for (let i = 0, j = 0; i < res.length; i++) {
res[i] = b[j++] | (b[j++] << 1) | (b[j++] << 2) | (b[j++] << 3);
res[i] |= (b[j++] << 4) | (b[j++] << 5) | (b[j++] << 6) | (b[j++] << 7);
}
return res;
},
};
/**
* Binary FPE-FF1 wrapper over byte arrays.
* @param key - AES key bytes.
* @param tweak - Optional tweak bytes.
* @returns Encrypt/decrypt helpers over byte arrays.
* @example
* Encrypts raw bytes through FF1's binary alphabet wrapper with a fresh AES key.
*
* ```ts
* import { BinaryFF1 } from '@noble/ciphers/ff1.js';
* import { randomBytes } from '@noble/ciphers/utils.js';
* const key = randomBytes(16);
* const ff1 = BinaryFF1(key);
* ff1.encrypt(new Uint8Array([1, 2, 3]));
* ```
*/
export function BinaryFF1(key, tweak = EMPTY_BUF) {
const ff1 = FF1(2, key, tweak);
return {
encrypt: (x) => binLE.decode(ff1.encrypt(binLE.encode(x))),
decrypt: (x) => binLE.decode(ff1.decrypt(binLE.encode(x))),
};
}
//# sourceMappingURL=ff1.js.map