aead/
lib.rs

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
//! [Authenticated Encryption with Associated Data] (AEAD) traits
//!
//! This crate provides an abstract interface for AEAD ciphers, which guarantee
//! both confidentiality and integrity, even from a powerful attacker who is
//! able to execute [chosen-ciphertext attacks]. The resulting security property,
//! [ciphertext indistinguishability], is considered a basic requirement for
//! modern cryptographic implementations.
//!
//! See [RustCrypto/AEADs] for cipher implementations which use this trait.
//!
//! [Authenticated Encryption with Associated Data]: https://en.wikipedia.org/wiki/Authenticated_encryption
//! [chosen-ciphertext attacks]: https://en.wikipedia.org/wiki/Chosen-ciphertext_attack
//! [ciphertext indistinguishability]: https://en.wikipedia.org/wiki/Ciphertext_indistinguishability
//! [RustCrypto/AEADs]: https://github.com/RustCrypto/AEADs

#![no_std]
#![cfg_attr(docsrs, feature(doc_cfg))]
#![doc(
    html_logo_url = "https://raw.githubusercontent.com/RustCrypto/media/8f1a9894/logo.svg",
    html_favicon_url = "https://raw.githubusercontent.com/RustCrypto/media/8f1a9894/logo.svg"
)]
#![forbid(unsafe_code)]
#![warn(clippy::unwrap_used, missing_docs, rust_2018_idioms)]

#[cfg(feature = "alloc")]
extern crate alloc;

#[cfg(feature = "std")]
extern crate std;

#[cfg(feature = "dev")]
#[cfg_attr(docsrs, doc(cfg(feature = "dev")))]
pub mod dev;

#[cfg(feature = "stream")]
#[cfg_attr(docsrs, doc(cfg(feature = "stream")))]
pub mod stream;

pub use crypto_common::{Key, KeyInit, KeySizeUser};
pub use generic_array::{self, typenum::consts};

#[cfg(feature = "arrayvec")]
#[cfg_attr(docsrs, doc(cfg(feature = "arrayvec")))]
pub use arrayvec;

#[cfg(feature = "bytes")]
#[cfg_attr(docsrs, doc(cfg(feature = "bytes")))]
pub use bytes;

#[cfg(feature = "getrandom")]
#[cfg_attr(docsrs, doc(cfg(feature = "getrandom")))]
pub use crypto_common::rand_core::OsRng;

#[cfg(feature = "heapless")]
#[cfg_attr(docsrs, doc(cfg(feature = "heapless")))]
pub use heapless;

#[cfg(feature = "rand_core")]
#[cfg_attr(docsrs, doc(cfg(feature = "rand_core")))]
pub use crypto_common::rand_core;

use core::fmt;
use generic_array::{typenum::Unsigned, ArrayLength, GenericArray};

#[cfg(feature = "alloc")]
use alloc::vec::Vec;

#[cfg(feature = "bytes")]
use bytes::BytesMut;

#[cfg(feature = "rand_core")]
use rand_core::{CryptoRng, RngCore};

/// Error type.
///
/// This type is deliberately opaque as to avoid potential side-channel
/// leakage (e.g. padding oracle).
#[derive(Clone, Copy, Debug, Eq, Hash, Ord, PartialEq, PartialOrd)]
pub struct Error;

/// Result type alias with [`Error`].
pub type Result<T> = core::result::Result<T, Error>;

impl fmt::Display for Error {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        f.write_str("aead::Error")
    }
}

#[cfg(feature = "std")]
impl std::error::Error for Error {}

/// Nonce: single-use value for ensuring ciphertexts are unique
pub type Nonce<A> = GenericArray<u8, <A as AeadCore>::NonceSize>;

/// Tag: authentication code which ensures ciphertexts are authentic
pub type Tag<A> = GenericArray<u8, <A as AeadCore>::TagSize>;

/// Authenticated Encryption with Associated Data (AEAD) algorithm core trait.
///
/// Defines nonce, tag, and overhead sizes that are consumed by various other
/// `Aead*` traits.
pub trait AeadCore {
    /// The length of a nonce.
    type NonceSize: ArrayLength<u8>;

    /// The maximum length of the nonce.
    type TagSize: ArrayLength<u8>;

    /// The upper bound amount of additional space required to support a
    /// ciphertext vs. a plaintext.
    type CiphertextOverhead: ArrayLength<u8> + Unsigned;

    /// Generate a random nonce for this AEAD algorithm.
    ///
    /// AEAD algorithms accept a parameter to encryption/decryption called
    /// a "nonce" which must be unique every time encryption is performed and
    /// never repeated for the same key. The nonce is often prepended to the
    /// ciphertext. The nonce used to produce a given ciphertext must be passed
    /// to the decryption function in order for it to decrypt correctly.
    ///
    /// Nonces don't necessarily have to be random, but it is one strategy
    /// which is implemented by this function.
    ///
    /// # ⚠️Security Warning
    ///
    /// AEAD algorithms often fail catastrophically if nonces are ever repeated
    /// (with SIV modes being an exception).
    ///
    /// Using random nonces runs the risk of repeating them unless the nonce
    /// size is particularly large (e.g. 192-bit extended nonces used by the
    /// `XChaCha20Poly1305` and `XSalsa20Poly1305` constructions.
    ///
    /// [NIST SP 800-38D] recommends the following:
    ///
    /// > The total number of invocations of the authenticated encryption
    /// > function shall not exceed 2^32, including all IV lengths and all
    /// > instances of the authenticated encryption function with the given key.
    ///
    /// Following this guideline, only 4,294,967,296 messages with random
    /// nonces can be encrypted under a given key. While this bound is high,
    /// it's possible to encounter in practice, and systems which might
    /// reach it should consider alternatives to purely random nonces, like
    /// a counter or a combination of a random nonce + counter.
    ///
    /// See the [`stream`] module for a ready-made implementation of the latter.
    ///
    /// [NIST SP 800-38D]: https://csrc.nist.gov/publications/detail/sp/800-38d/final
    #[cfg(feature = "rand_core")]
    #[cfg_attr(docsrs, doc(cfg(feature = "rand_core")))]
    fn generate_nonce(mut rng: impl CryptoRng + RngCore) -> Nonce<Self>
    where
        Nonce<Self>: Default,
    {
        let mut nonce = Nonce::<Self>::default();
        rng.fill_bytes(&mut nonce);
        nonce
    }
}

/// Authenticated Encryption with Associated Data (AEAD) algorithm.
///
/// This trait is intended for use with stateless AEAD algorithms. The
/// [`AeadMut`] trait provides a stateful interface.
#[cfg(feature = "alloc")]
#[cfg_attr(docsrs, doc(cfg(feature = "alloc")))]
pub trait Aead: AeadCore {
    /// Encrypt the given plaintext payload, and return the resulting
    /// ciphertext as a vector of bytes.
    ///
    /// The [`Payload`] type can be used to provide Additional Associated Data
    /// (AAD) along with the message: this is an optional bytestring which is
    /// not encrypted, but *is* authenticated along with the message. Failure
    /// to pass the same AAD that was used during encryption will cause
    /// decryption to fail, which is useful if you would like to "bind" the
    /// ciphertext to some other identifier, like a digital signature key
    /// or other identifier.
    ///
    /// If you don't care about AAD and just want to encrypt a plaintext
    /// message, `&[u8]` will automatically be coerced into a `Payload`:
    ///
    /// ```nobuild
    /// let plaintext = b"Top secret message, handle with care";
    /// let ciphertext = cipher.encrypt(nonce, plaintext);
    /// ```
    ///
    /// The default implementation assumes a postfix tag (ala AES-GCM,
    /// AES-GCM-SIV, ChaCha20Poly1305). [`Aead`] implementations which do not
    /// use a postfix tag will need to override this to correctly assemble the
    /// ciphertext message.
    fn encrypt<'msg, 'aad>(
        &self,
        nonce: &Nonce<Self>,
        plaintext: impl Into<Payload<'msg, 'aad>>,
    ) -> Result<Vec<u8>>;

    /// Decrypt the given ciphertext slice, and return the resulting plaintext
    /// as a vector of bytes.
    ///
    /// See notes on [`Aead::encrypt()`] about allowable message payloads and
    /// Associated Additional Data (AAD).
    ///
    /// If you have no AAD, you can call this as follows:
    ///
    /// ```nobuild
    /// let ciphertext = b"...";
    /// let plaintext = cipher.decrypt(nonce, ciphertext)?;
    /// ```
    ///
    /// The default implementation assumes a postfix tag (ala AES-GCM,
    /// AES-GCM-SIV, ChaCha20Poly1305). [`Aead`] implementations which do not
    /// use a postfix tag will need to override this to correctly parse the
    /// ciphertext message.
    fn decrypt<'msg, 'aad>(
        &self,
        nonce: &Nonce<Self>,
        ciphertext: impl Into<Payload<'msg, 'aad>>,
    ) -> Result<Vec<u8>>;
}

/// Stateful Authenticated Encryption with Associated Data algorithm.
#[cfg(feature = "alloc")]
#[cfg_attr(docsrs, doc(cfg(feature = "alloc")))]
pub trait AeadMut: AeadCore {
    /// Encrypt the given plaintext slice, and return the resulting ciphertext
    /// as a vector of bytes.
    ///
    /// See notes on [`Aead::encrypt()`] about allowable message payloads and
    /// Associated Additional Data (AAD).
    fn encrypt<'msg, 'aad>(
        &mut self,
        nonce: &Nonce<Self>,
        plaintext: impl Into<Payload<'msg, 'aad>>,
    ) -> Result<Vec<u8>>;

    /// Decrypt the given ciphertext slice, and return the resulting plaintext
    /// as a vector of bytes.
    ///
    /// See notes on [`Aead::encrypt()`] and [`Aead::decrypt()`] about allowable
    /// message payloads and Associated Additional Data (AAD).
    fn decrypt<'msg, 'aad>(
        &mut self,
        nonce: &Nonce<Self>,
        ciphertext: impl Into<Payload<'msg, 'aad>>,
    ) -> Result<Vec<u8>>;
}

/// Implement the `decrypt_in_place` method on [`AeadInPlace`] and
/// [`AeadMutInPlace]`, using a macro to gloss over the `&self` vs `&mut self`.
///
/// Assumes a postfix authentication tag. AEAD ciphers which do not use a
/// postfix authentication tag will need to define their own implementation.
macro_rules! impl_decrypt_in_place {
    ($aead:expr, $nonce:expr, $aad:expr, $buffer:expr) => {{
        if $buffer.len() < Self::TagSize::to_usize() {
            return Err(Error);
        }

        let tag_pos = $buffer.len() - Self::TagSize::to_usize();
        let (msg, tag) = $buffer.as_mut().split_at_mut(tag_pos);
        $aead.decrypt_in_place_detached($nonce, $aad, msg, Tag::<Self>::from_slice(tag))?;
        $buffer.truncate(tag_pos);
        Ok(())
    }};
}

/// In-place stateless AEAD trait.
///
/// This trait is both object safe and has no dependencies on `alloc` or `std`.
pub trait AeadInPlace: AeadCore {
    /// Encrypt the given buffer containing a plaintext message in-place.
    ///
    /// The buffer must have sufficient capacity to store the ciphertext
    /// message, which will always be larger than the original plaintext.
    /// The exact size needed is cipher-dependent, but generally includes
    /// the size of an authentication tag.
    ///
    /// Returns an error if the buffer has insufficient capacity to store the
    /// resulting ciphertext message.
    fn encrypt_in_place(
        &self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut dyn Buffer,
    ) -> Result<()> {
        let tag = self.encrypt_in_place_detached(nonce, associated_data, buffer.as_mut())?;
        buffer.extend_from_slice(tag.as_slice())?;
        Ok(())
    }

    /// Encrypt the data in-place, returning the authentication tag
    fn encrypt_in_place_detached(
        &self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut [u8],
    ) -> Result<Tag<Self>>;

    /// Decrypt the message in-place, returning an error in the event the
    /// provided authentication tag does not match the given ciphertext.
    ///
    /// The buffer will be truncated to the length of the original plaintext
    /// message upon success.
    fn decrypt_in_place(
        &self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut dyn Buffer,
    ) -> Result<()> {
        impl_decrypt_in_place!(self, nonce, associated_data, buffer)
    }

    /// Decrypt the message in-place, returning an error in the event the provided
    /// authentication tag does not match the given ciphertext (i.e. ciphertext
    /// is modified/unauthentic)
    fn decrypt_in_place_detached(
        &self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut [u8],
        tag: &Tag<Self>,
    ) -> Result<()>;
}

/// In-place stateful AEAD trait.
///
/// This trait is both object safe and has no dependencies on `alloc` or `std`.
pub trait AeadMutInPlace: AeadCore {
    /// Encrypt the given buffer containing a plaintext message in-place.
    ///
    /// The buffer must have sufficient capacity to store the ciphertext
    /// message, which will always be larger than the original plaintext.
    /// The exact size needed is cipher-dependent, but generally includes
    /// the size of an authentication tag.
    ///
    /// Returns an error if the buffer has insufficient capacity to store the
    /// resulting ciphertext message.
    fn encrypt_in_place(
        &mut self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut impl Buffer,
    ) -> Result<()> {
        let tag = self.encrypt_in_place_detached(nonce, associated_data, buffer.as_mut())?;
        buffer.extend_from_slice(tag.as_slice())?;
        Ok(())
    }

    /// Encrypt the data in-place, returning the authentication tag
    fn encrypt_in_place_detached(
        &mut self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut [u8],
    ) -> Result<Tag<Self>>;

    /// Decrypt the message in-place, returning an error in the event the
    /// provided authentication tag does not match the given ciphertext.
    ///
    /// The buffer will be truncated to the length of the original plaintext
    /// message upon success.
    fn decrypt_in_place(
        &mut self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut impl Buffer,
    ) -> Result<()> {
        impl_decrypt_in_place!(self, nonce, associated_data, buffer)
    }

    /// Decrypt the data in-place, returning an error in the event the provided
    /// authentication tag does not match the given ciphertext (i.e. ciphertext
    /// is modified/unauthentic)
    fn decrypt_in_place_detached(
        &mut self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut [u8],
        tag: &Tag<Self>,
    ) -> Result<()>;
}

#[cfg(feature = "alloc")]
impl<Alg: AeadInPlace> Aead for Alg {
    fn encrypt<'msg, 'aad>(
        &self,
        nonce: &Nonce<Self>,
        plaintext: impl Into<Payload<'msg, 'aad>>,
    ) -> Result<Vec<u8>> {
        let payload = plaintext.into();
        let mut buffer = Vec::with_capacity(payload.msg.len() + Self::TagSize::to_usize());
        buffer.extend_from_slice(payload.msg);
        self.encrypt_in_place(nonce, payload.aad, &mut buffer)?;
        Ok(buffer)
    }

    fn decrypt<'msg, 'aad>(
        &self,
        nonce: &Nonce<Self>,
        ciphertext: impl Into<Payload<'msg, 'aad>>,
    ) -> Result<Vec<u8>> {
        let payload = ciphertext.into();
        let mut buffer = Vec::from(payload.msg);
        self.decrypt_in_place(nonce, payload.aad, &mut buffer)?;
        Ok(buffer)
    }
}

#[cfg(feature = "alloc")]
impl<Alg: AeadMutInPlace> AeadMut for Alg {
    fn encrypt<'msg, 'aad>(
        &mut self,
        nonce: &Nonce<Self>,
        plaintext: impl Into<Payload<'msg, 'aad>>,
    ) -> Result<Vec<u8>> {
        let payload = plaintext.into();
        let mut buffer = Vec::with_capacity(payload.msg.len() + Self::TagSize::to_usize());
        buffer.extend_from_slice(payload.msg);
        self.encrypt_in_place(nonce, payload.aad, &mut buffer)?;
        Ok(buffer)
    }

    fn decrypt<'msg, 'aad>(
        &mut self,
        nonce: &Nonce<Self>,
        ciphertext: impl Into<Payload<'msg, 'aad>>,
    ) -> Result<Vec<u8>> {
        let payload = ciphertext.into();
        let mut buffer = Vec::from(payload.msg);
        self.decrypt_in_place(nonce, payload.aad, &mut buffer)?;
        Ok(buffer)
    }
}

impl<Alg: AeadInPlace> AeadMutInPlace for Alg {
    fn encrypt_in_place(
        &mut self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut impl Buffer,
    ) -> Result<()> {
        <Self as AeadInPlace>::encrypt_in_place(self, nonce, associated_data, buffer)
    }

    fn encrypt_in_place_detached(
        &mut self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut [u8],
    ) -> Result<Tag<Self>> {
        <Self as AeadInPlace>::encrypt_in_place_detached(self, nonce, associated_data, buffer)
    }

    fn decrypt_in_place(
        &mut self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut impl Buffer,
    ) -> Result<()> {
        <Self as AeadInPlace>::decrypt_in_place(self, nonce, associated_data, buffer)
    }

    fn decrypt_in_place_detached(
        &mut self,
        nonce: &Nonce<Self>,
        associated_data: &[u8],
        buffer: &mut [u8],
        tag: &Tag<Self>,
    ) -> Result<()> {
        <Self as AeadInPlace>::decrypt_in_place_detached(self, nonce, associated_data, buffer, tag)
    }
}

/// AEAD payloads (message + AAD).
///
/// Combination of a message (plaintext or ciphertext) and
/// "additional associated data" (AAD) to be authenticated (in cleartext)
/// along with the message.
///
/// If you don't care about AAD, you can pass a `&[u8]` as the payload to
/// `encrypt`/`decrypt` and it will automatically be coerced to this type.
#[cfg(feature = "alloc")]
#[cfg_attr(docsrs, doc(cfg(feature = "alloc")))]
pub struct Payload<'msg, 'aad> {
    /// Message to be encrypted/decrypted
    pub msg: &'msg [u8],

    /// Optional "additional associated data" to authenticate along with
    /// this message. If AAD is provided at the time the message is encrypted,
    /// the same AAD *MUST* be provided at the time the message is decrypted,
    /// or decryption will fail.
    pub aad: &'aad [u8],
}

#[cfg(feature = "alloc")]
impl<'msg, 'aad> From<&'msg [u8]> for Payload<'msg, 'aad> {
    fn from(msg: &'msg [u8]) -> Self {
        Self { msg, aad: b"" }
    }
}

/// In-place encryption/decryption byte buffers.
///
/// This trait defines the set of methods needed to support in-place operations
/// on a `Vec`-like data type.
pub trait Buffer: AsRef<[u8]> + AsMut<[u8]> {
    /// Get the length of the buffer
    fn len(&self) -> usize {
        self.as_ref().len()
    }

    /// Is the buffer empty?
    fn is_empty(&self) -> bool {
        self.as_ref().is_empty()
    }

    /// Extend this buffer from the given slice
    fn extend_from_slice(&mut self, other: &[u8]) -> Result<()>;

    /// Truncate this buffer to the given size
    fn truncate(&mut self, len: usize);
}

#[cfg(feature = "alloc")]
impl Buffer for Vec<u8> {
    fn extend_from_slice(&mut self, other: &[u8]) -> Result<()> {
        Vec::extend_from_slice(self, other);
        Ok(())
    }

    fn truncate(&mut self, len: usize) {
        Vec::truncate(self, len);
    }
}

#[cfg(feature = "bytes")]
impl Buffer for BytesMut {
    fn len(&self) -> usize {
        BytesMut::len(self)
    }

    fn is_empty(&self) -> bool {
        BytesMut::is_empty(self)
    }

    fn extend_from_slice(&mut self, other: &[u8]) -> Result<()> {
        BytesMut::extend_from_slice(self, other);
        Ok(())
    }

    fn truncate(&mut self, len: usize) {
        BytesMut::truncate(self, len);
    }
}

#[cfg(feature = "arrayvec")]
impl<const N: usize> Buffer for arrayvec::ArrayVec<u8, N> {
    fn extend_from_slice(&mut self, other: &[u8]) -> Result<()> {
        arrayvec::ArrayVec::try_extend_from_slice(self, other).map_err(|_| Error)
    }

    fn truncate(&mut self, len: usize) {
        arrayvec::ArrayVec::truncate(self, len);
    }
}

#[cfg(feature = "heapless")]
impl<const N: usize> Buffer for heapless::Vec<u8, N> {
    fn extend_from_slice(&mut self, other: &[u8]) -> Result<()> {
        heapless::Vec::extend_from_slice(self, other).map_err(|_| Error)
    }

    fn truncate(&mut self, len: usize) {
        heapless::Vec::truncate(self, len);
    }
}

#[cfg(test)]
mod tests {
    use super::*;

    /// Ensure that `AeadInPlace` is object-safe
    #[allow(dead_code)]
    type DynAeadInPlace<N, T, O> =
        dyn AeadInPlace<NonceSize = N, TagSize = T, CiphertextOverhead = O>;

    /// Ensure that `AeadMutInPlace` is object-safe
    #[allow(dead_code)]
    type DynAeadMutInPlace<N, T, O> =
        dyn AeadMutInPlace<NonceSize = N, TagSize = T, CiphertextOverhead = O>;
}