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arcana/cipher/
aes.rs

1//! AES (FIPS 197) block cipher — single-block API.
2//!
3//! Supports 128-bit, 192-bit, and 256-bit keys with 10, 12, and 14
4//! rounds respectively. Modes (ECB / CBC / CTR / GCM / CCM / XTS)
5//! live in [`super::modes`], [`super::ccm`], [`super::xts`]; the
6//! streaming wrapper lives in [`super::ctx`].
7//!
8//! # ⚠ Side-channel posture (evaluation-critical gap)
9//!
10//! This module is the **single largest open SCA gap on the
11//! classical side**. Roadmap entries
12//! (`arcana/doc/sca/countermeasures/aes.rst`):
13//!
14//! | Threat                                 | Status     | Roadmap item                                                                  |
15//! |----------------------------------------|------------|-------------------------------------------------------------------------------|
16//! | SPA / SEMA on key schedule + S-box     | vulnerable | `T1-A` — port fixsliced AES (Adomnicai-Peyrin TCHES 2021/1)                   |
17//! | **Cache-timing on shared L1 / L2**     | vulnerable | Same `T1-A`. AES-NI / VAES is host-only (`T5`)                                |
18//! | DPA / CPA on round-1 SubBytes          | vulnerable | `T2-G` — first-order Boolean masking on top of fixsliced AES                  |
19//! | Template attacks (incl. ML-DPA)        | vulnerable | `T2-G`. ANSSI's protected AES was broken end-to-end by ML-DPA in 2023         |
20//! | DFA on last AES round                  | vulnerable | `T4-AES-A` — redundancy + infective countermeasure (deferred)                 |
21//!
22//! ## Cache-timing leak — concrete model
23//!
24//! The `SBOX` array below is a 256-byte LUT. The first round of
25//! AES indexes 16 bytes of `state[i] ^ K[i]`; observing which
26//! cache lines (4 lines × 64 B = 256 B) are accessed reveals the
27//! high bits of each byte of `state[i] ^ K[i]`. Combined T-table
28//! implementations (which fold ShiftRows + MixColumns into 4 KiB
29//! of pre-computed tables) leak more. References:
30//! `bernstein2005_aes_cache_timing`, `osvik2006cache_aes`.
31//!
32//! **Until `T1-A` lands, this implementation must not be used in
33//! deployments where a co-resident or near-shared-cache attacker
34//! is in scope** — shared hosting, multi-VM tenants, or any
35//! bare-metal target with shared L1 between cryptographic and
36//! untrusted code.
37
38use crate::BlockCipher;
39
40// ============================================================
41// S-box and inverse S-box (FIPS 197, Section 5.1.1)
42// ============================================================
43
44/// AES forward S-box.
45const SBOX: [u8; 256] = [
46    0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b, 0xfe, 0xd7, 0xab, 0x76, 0xca, 0x82, 0xc9,
47    0x7d, 0xfa, 0x59, 0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0, 0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f,
48    0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15, 0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a, 0x07,
49    0x12, 0x80, 0xe2, 0xeb, 0x27, 0xb2, 0x75, 0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0, 0x52, 0x3b, 0xd6, 0xb3,
50    0x29, 0xe3, 0x2f, 0x84, 0x53, 0xd1, 0x00, 0xed, 0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58,
51    0xcf, 0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f, 0x50, 0x3c, 0x9f, 0xa8, 0x51, 0xa3,
52    0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5, 0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff, 0xf3, 0xd2, 0xcd, 0x0c, 0x13, 0xec, 0x5f,
53    0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d, 0x64, 0x5d, 0x19, 0x73, 0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88,
54    0x46, 0xee, 0xb8, 0x14, 0xde, 0x5e, 0x0b, 0xdb, 0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c, 0xc2, 0xd3, 0xac,
55    0x62, 0x91, 0x95, 0xe4, 0x79, 0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5, 0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a,
56    0xae, 0x08, 0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f, 0x4b, 0xbd, 0x8b, 0x8a, 0x70,
57    0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e, 0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e, 0xe1, 0xf8, 0x98, 0x11,
58    0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55, 0x28, 0xdf, 0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42,
59    0x68, 0x41, 0x99, 0x2d, 0x0f, 0xb0, 0x54, 0xbb, 0x16,
60];
61
62/// AES inverse S-box.
63const INV_SBOX: [u8; 256] = [
64    0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38, 0xbf, 0x40, 0xa3, 0x9e, 0x81, 0xf3, 0xd7, 0xfb, 0x7c, 0xe3, 0x39,
65    0x82, 0x9b, 0x2f, 0xff, 0x87, 0x34, 0x8e, 0x43, 0x44, 0xc4, 0xde, 0xe9, 0xcb, 0x54, 0x7b, 0x94, 0x32, 0xa6, 0xc2,
66    0x23, 0x3d, 0xee, 0x4c, 0x95, 0x0b, 0x42, 0xfa, 0xc3, 0x4e, 0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2, 0x76,
67    0x5b, 0xa2, 0x49, 0x6d, 0x8b, 0xd1, 0x25, 0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xd4, 0xa4, 0x5c, 0xcc,
68    0x5d, 0x65, 0xb6, 0x92, 0x6c, 0x70, 0x48, 0x50, 0xfd, 0xed, 0xb9, 0xda, 0x5e, 0x15, 0x46, 0x57, 0xa7, 0x8d, 0x9d,
69    0x84, 0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a, 0xf7, 0xe4, 0x58, 0x05, 0xb8, 0xb3, 0x45, 0x06, 0xd0, 0x2c,
70    0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02, 0xc1, 0xaf, 0xbd, 0x03, 0x01, 0x13, 0x8a, 0x6b, 0x3a, 0x91, 0x11, 0x41, 0x4f,
71    0x67, 0xdc, 0xea, 0x97, 0xf2, 0xcf, 0xce, 0xf0, 0xb4, 0xe6, 0x73, 0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85,
72    0xe2, 0xf9, 0x37, 0xe8, 0x1c, 0x75, 0xdf, 0x6e, 0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89, 0x6f, 0xb7, 0x62,
73    0x0e, 0xaa, 0x18, 0xbe, 0x1b, 0xfc, 0x56, 0x3e, 0x4b, 0xc6, 0xd2, 0x79, 0x20, 0x9a, 0xdb, 0xc0, 0xfe, 0x78, 0xcd,
74    0x5a, 0xf4, 0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31, 0xb1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xec, 0x5f, 0x60,
75    0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d, 0x2d, 0xe5, 0x7a, 0x9f, 0x93, 0xc9, 0x9c, 0xef, 0xa0, 0xe0, 0x3b, 0x4d,
76    0xae, 0x2a, 0xf5, 0xb0, 0xc8, 0xeb, 0xbb, 0x3c, 0x83, 0x53, 0x99, 0x61, 0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6,
77    0x26, 0xe1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0c, 0x7d,
78];
79
80/// Round constants for key expansion.
81const RCON: [u8; 10] = [0x01, 0x02, 0x04, 0x08, 0x10, 0x20, 0x40, 0x80, 0x1b, 0x36];
82
83// ============================================================
84// GF(2^8) helpers
85// ============================================================
86
87/// Multiply by 2 in GF(2^8) with the AES irreducible polynomial x^8+x^4+x^3+x+1.
88#[inline]
89fn xtime(a: u8) -> u8 {
90    let shifted = (a as u16) << 1;
91    (shifted ^ (if a & 0x80 != 0 { 0x1b } else { 0x00 })) as u8
92}
93
94/// Multiply two elements in GF(2^8).
95#[inline]
96fn gmul(mut a: u8, mut b: u8) -> u8 {
97    let mut p: u8 = 0;
98    for _ in 0..8 {
99        if b & 1 != 0 {
100            p ^= a;
101        }
102        let hi = a & 0x80;
103        a <<= 1;
104        if hi != 0 {
105            a ^= 0x1b;
106        }
107        b >>= 1;
108    }
109    p
110}
111
112// ============================================================
113// Aes core
114// ============================================================
115
116/// Maximum number of round keys: AES-256 has 14 rounds → 15 round keys × 4 words = 60 words.
117const MAX_ROUND_KEYS: usize = 60;
118
119/// AES block cipher supporting 128, 192, and 256-bit keys.
120///
121/// See module-level documentation for cache-timing caveats.
122pub struct Aes {
123    /// Expanded round key words (Nk * (Nr+1) 32-bit words).
124    round_keys: [u32; MAX_ROUND_KEYS],
125    /// Number of rounds (10, 12, or 14).
126    nr: usize,
127}
128
129impl Aes {
130    /// Number of rounds for a given key length in bytes.
131    fn rounds_for_key(key_len: usize) -> usize {
132        match key_len {
133            16 => 10,
134            24 => 12,
135            32 => 14,
136            _ => panic!("AES: invalid key length (must be 16, 24, or 32 bytes)"),
137        }
138    }
139
140    /// Key expansion (FIPS 197, Section 5.2).
141    fn key_expansion(key: &[u8]) -> ([u32; MAX_ROUND_KEYS], usize) {
142        let nk = key.len() / 4; // number of 32-bit words in the key
143        let nr = Self::rounds_for_key(key.len());
144        let total_words = 4 * (nr + 1);
145
146        let mut w = [0u32; MAX_ROUND_KEYS];
147
148        // Copy the key into the first Nk words
149        for i in 0..nk {
150            w[i] = u32::from_be_bytes([key[4 * i], key[4 * i + 1], key[4 * i + 2], key[4 * i + 3]]);
151        }
152
153        for i in nk..total_words {
154            let mut temp = w[i - 1];
155            if i % nk == 0 {
156                // RotWord + SubWord + Rcon
157                temp = Self::sub_word(Self::rot_word(temp)) ^ ((RCON[i / nk - 1] as u32) << 24);
158            } else if nk > 6 && i % nk == 4 {
159                temp = Self::sub_word(temp);
160            }
161            w[i] = w[i - nk] ^ temp;
162        }
163
164        (w, nr)
165    }
166
167    #[inline]
168    fn sub_word(w: u32) -> u32 {
169        let b = w.to_be_bytes();
170        u32::from_be_bytes([
171            SBOX[b[0] as usize],
172            SBOX[b[1] as usize],
173            SBOX[b[2] as usize],
174            SBOX[b[3] as usize],
175        ])
176    }
177
178    #[inline]
179    fn rot_word(w: u32) -> u32 {
180        w.rotate_left(8)
181    }
182
183    // ---- Encryption transforms ----
184
185    fn sub_bytes(state: &mut [u8; 16]) {
186        for b in state.iter_mut() {
187            *b = SBOX[*b as usize];
188        }
189    }
190
191    fn shift_rows(state: &mut [u8; 16]) {
192        // Row 1: shift left by 1
193        let tmp = state[1];
194        state[1] = state[5];
195        state[5] = state[9];
196        state[9] = state[13];
197        state[13] = tmp;
198
199        // Row 2: shift left by 2
200        let tmp0 = state[2];
201        let tmp1 = state[6];
202        state[2] = state[10];
203        state[6] = state[14];
204        state[10] = tmp0;
205        state[14] = tmp1;
206
207        // Row 3: shift left by 3 (= shift right by 1)
208        let tmp = state[15];
209        state[15] = state[11];
210        state[11] = state[7];
211        state[7] = state[3];
212        state[3] = tmp;
213    }
214
215    fn mix_columns(state: &mut [u8; 16]) {
216        for c in 0..4 {
217            let i = 4 * c;
218            let s0 = state[i];
219            let s1 = state[i + 1];
220            let s2 = state[i + 2];
221            let s3 = state[i + 3];
222
223            state[i] = xtime(s0) ^ xtime(s1) ^ s1 ^ s2 ^ s3;
224            state[i + 1] = s0 ^ xtime(s1) ^ xtime(s2) ^ s2 ^ s3;
225            state[i + 2] = s0 ^ s1 ^ xtime(s2) ^ xtime(s3) ^ s3;
226            state[i + 3] = xtime(s0) ^ s0 ^ s1 ^ s2 ^ xtime(s3);
227        }
228    }
229
230    fn add_round_key(state: &mut [u8; 16], rk: &[u32]) {
231        for c in 0..4 {
232            let k = rk[c].to_be_bytes();
233            state[4 * c] ^= k[0];
234            state[4 * c + 1] ^= k[1];
235            state[4 * c + 2] ^= k[2];
236            state[4 * c + 3] ^= k[3];
237        }
238    }
239
240    // ---- Decryption transforms ----
241
242    fn inv_sub_bytes(state: &mut [u8; 16]) {
243        for b in state.iter_mut() {
244            *b = INV_SBOX[*b as usize];
245        }
246    }
247
248    fn inv_shift_rows(state: &mut [u8; 16]) {
249        // Row 1: shift right by 1
250        let tmp = state[13];
251        state[13] = state[9];
252        state[9] = state[5];
253        state[5] = state[1];
254        state[1] = tmp;
255
256        // Row 2: shift right by 2
257        let tmp0 = state[2];
258        let tmp1 = state[6];
259        state[2] = state[10];
260        state[6] = state[14];
261        state[10] = tmp0;
262        state[14] = tmp1;
263
264        // Row 3: shift right by 3 (= shift left by 1)
265        let tmp = state[3];
266        state[3] = state[7];
267        state[7] = state[11];
268        state[11] = state[15];
269        state[15] = tmp;
270    }
271
272    fn inv_mix_columns(state: &mut [u8; 16]) {
273        for c in 0..4 {
274            let i = 4 * c;
275            let s0 = state[i];
276            let s1 = state[i + 1];
277            let s2 = state[i + 2];
278            let s3 = state[i + 3];
279
280            state[i] = gmul(s0, 0x0e) ^ gmul(s1, 0x0b) ^ gmul(s2, 0x0d) ^ gmul(s3, 0x09);
281            state[i + 1] = gmul(s0, 0x09) ^ gmul(s1, 0x0e) ^ gmul(s2, 0x0b) ^ gmul(s3, 0x0d);
282            state[i + 2] = gmul(s0, 0x0d) ^ gmul(s1, 0x09) ^ gmul(s2, 0x0e) ^ gmul(s3, 0x0b);
283            state[i + 3] = gmul(s0, 0x0b) ^ gmul(s1, 0x0d) ^ gmul(s2, 0x09) ^ gmul(s3, 0x0e);
284        }
285    }
286}
287
288impl BlockCipher for Aes {
289    const BLOCK_LEN: usize = 16;
290    const KEY_LENS: &'static [usize] = &[16, 24, 32];
291
292    fn new(key: &[u8]) -> Self {
293        let (round_keys, nr) = Self::key_expansion(key);
294        Aes { round_keys, nr }
295    }
296
297    fn encrypt_block(&self, block: &mut [u8]) {
298        assert!(block.len() >= 16, "AES: block must be at least 16 bytes");
299        let mut state = [0u8; 16];
300        state.copy_from_slice(&block[..16]);
301
302        // Initial round key addition
303        Self::add_round_key(&mut state, &self.round_keys[0..4]);
304
305        // Rounds 1..Nr-1
306        for round in 1..self.nr {
307            Self::sub_bytes(&mut state);
308            Self::shift_rows(&mut state);
309            Self::mix_columns(&mut state);
310            Self::add_round_key(&mut state, &self.round_keys[round * 4..(round + 1) * 4]);
311        }
312
313        // Final round (no MixColumns)
314        Self::sub_bytes(&mut state);
315        Self::shift_rows(&mut state);
316        Self::add_round_key(&mut state, &self.round_keys[self.nr * 4..(self.nr + 1) * 4]);
317
318        block[..16].copy_from_slice(&state);
319    }
320
321    fn decrypt_block(&self, block: &mut [u8]) {
322        assert!(block.len() >= 16, "AES: block must be at least 16 bytes");
323        let mut state = [0u8; 16];
324        state.copy_from_slice(&block[..16]);
325
326        // Initial round key addition (last round key)
327        Self::add_round_key(&mut state, &self.round_keys[self.nr * 4..(self.nr + 1) * 4]);
328
329        // Rounds Nr-1..1
330        for round in (1..self.nr).rev() {
331            Self::inv_shift_rows(&mut state);
332            Self::inv_sub_bytes(&mut state);
333            Self::add_round_key(&mut state, &self.round_keys[round * 4..(round + 1) * 4]);
334            Self::inv_mix_columns(&mut state);
335        }
336
337        // Final round (no InvMixColumns)
338        Self::inv_shift_rows(&mut state);
339        Self::inv_sub_bytes(&mut state);
340        Self::add_round_key(&mut state, &self.round_keys[0..4]);
341
342        block[..16].copy_from_slice(&state);
343    }
344}
345
346// ============================================================
347// Convenience wrappers
348// ============================================================
349
350/// AES-128 (10 rounds, 128-bit key).
351pub struct Aes128 {
352    inner: Aes,
353}
354
355impl BlockCipher for Aes128 {
356    const BLOCK_LEN: usize = 16;
357    const KEY_LENS: &'static [usize] = &[16];
358
359    fn new(key: &[u8]) -> Self {
360        assert_eq!(key.len(), 16, "AES-128 requires a 16-byte key");
361        Aes128 { inner: Aes::new(key) }
362    }
363
364    fn encrypt_block(&self, block: &mut [u8]) {
365        self.inner.encrypt_block(block);
366    }
367
368    fn decrypt_block(&self, block: &mut [u8]) {
369        self.inner.decrypt_block(block);
370    }
371}
372
373/// AES-192 (12 rounds, 192-bit key).
374pub struct Aes192 {
375    inner: Aes,
376}
377
378impl BlockCipher for Aes192 {
379    const BLOCK_LEN: usize = 16;
380    const KEY_LENS: &'static [usize] = &[24];
381
382    fn new(key: &[u8]) -> Self {
383        assert_eq!(key.len(), 24, "AES-192 requires a 24-byte key");
384        Aes192 { inner: Aes::new(key) }
385    }
386
387    fn encrypt_block(&self, block: &mut [u8]) {
388        self.inner.encrypt_block(block);
389    }
390
391    fn decrypt_block(&self, block: &mut [u8]) {
392        self.inner.decrypt_block(block);
393    }
394}
395
396/// AES-256 (14 rounds, 256-bit key).
397pub struct Aes256 {
398    inner: Aes,
399}
400
401impl BlockCipher for Aes256 {
402    const BLOCK_LEN: usize = 16;
403    const KEY_LENS: &'static [usize] = &[32];
404
405    fn new(key: &[u8]) -> Self {
406        assert_eq!(key.len(), 32, "AES-256 requires a 32-byte key");
407        Aes256 { inner: Aes::new(key) }
408    }
409
410    fn encrypt_block(&self, block: &mut [u8]) {
411        self.inner.encrypt_block(block);
412    }
413
414    fn decrypt_block(&self, block: &mut [u8]) {
415        self.inner.decrypt_block(block);
416    }
417}
418
419// ============================================================
420// Tests
421// ============================================================
422
423#[cfg(test)]
424mod tests {
425    use super::*;
426
427    fn hex_to_bytes(s: &str) -> Vec<u8> {
428        (0..s.len())
429            .step_by(2)
430            .map(|i| u8::from_str_radix(&s[i..i + 2], 16).unwrap())
431            .collect()
432    }
433
434    /// FIPS 197 Appendix B test vector.
435    #[test]
436    fn aes128_fips197_appendix_b() {
437        let key = hex_to_bytes("2b7e151628aed2a6abf7158809cf4f3c");
438        let plaintext = hex_to_bytes("3243f6a8885a308d313198a2e0370734");
439        let expected_ct = hex_to_bytes("3925841d02dc09fbdc118597196a0b32");
440
441        let cipher = Aes128::new(&key);
442
443        // Encrypt
444        let mut block = plaintext.clone();
445        cipher.encrypt_block(&mut block);
446        assert_eq!(block, expected_ct, "AES-128 encrypt mismatch");
447
448        // Decrypt
449        cipher.decrypt_block(&mut block);
450        assert_eq!(block, plaintext, "AES-128 decrypt mismatch");
451    }
452
453    /// NIST FIPS 197 Appendix C.1 — AES-128
454    #[test]
455    fn aes128_nist_c1() {
456        let key = hex_to_bytes("000102030405060708090a0b0c0d0e0f");
457        let pt = hex_to_bytes("00112233445566778899aabbccddeeff");
458        let expected = hex_to_bytes("69c4e0d86a7b0430d8cdb78070b4c55a");
459
460        let cipher = Aes128::new(&key);
461        let mut block = pt.clone();
462        cipher.encrypt_block(&mut block);
463        assert_eq!(block, expected);
464
465        cipher.decrypt_block(&mut block);
466        assert_eq!(block, pt);
467    }
468
469    /// NIST FIPS 197 Appendix C.2 — AES-192
470    #[test]
471    fn aes192_nist_c2() {
472        let key = hex_to_bytes("000102030405060708090a0b0c0d0e0f1011121314151617");
473        let pt = hex_to_bytes("00112233445566778899aabbccddeeff");
474        let expected = hex_to_bytes("dda97ca4864cdfe06eaf70a0ec0d7191");
475
476        let cipher = Aes192::new(&key);
477        let mut block = pt.clone();
478        cipher.encrypt_block(&mut block);
479        assert_eq!(block, expected);
480
481        cipher.decrypt_block(&mut block);
482        assert_eq!(block, pt);
483    }
484
485    /// NIST FIPS 197 Appendix C.3 — AES-256
486    #[test]
487    fn aes256_nist_c3() {
488        let key = hex_to_bytes("000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f");
489        let pt = hex_to_bytes("00112233445566778899aabbccddeeff");
490        let expected = hex_to_bytes("8ea2b7ca516745bfeafc49904b496089");
491
492        let cipher = Aes256::new(&key);
493        let mut block = pt.clone();
494        cipher.encrypt_block(&mut block);
495        assert_eq!(block, expected);
496
497        cipher.decrypt_block(&mut block);
498        assert_eq!(block, pt);
499    }
500}