lkml.org 
[lkml]   [2018]   [Aug]   [6]   [last100]   RSS Feed
Views: [wrap][no wrap]   [headers]  [forward] 
 
Messages in this thread
Patch in this message
/
From
Subject[RFC PATCH 4/9] crypto: chacha - add XChaCha12 support
Date
From: Eric Biggers <ebiggers@google.com>

Now that the generic implementation of ChaCha20 has been refactored to
allow varying the number of rounds, add support for XChaCha12, which is
the XSalsa construction applied to ChaCha12. ChaCha12 is one of the
three ciphers specified by the original ChaCha paper
(https://cr.yp.to/chacha/chacha-20080128.pdf: "ChaCha, a variant of
Salsa20"), alongside ChaCha8 and ChaCha20. ChaCha12 is faster than
ChaCha20, but has a lower security margin. Still, it hasn't been broken
yet, as the best known attack on ChaCha makes it through only 7 rounds.

We need XChaCha12 support so that it can be used in the construction
HPolyC-XChaCha12-AES, which can provide reasonably fast disk/file
encryption on low-end devices where AES-XTS is too slow as the CPUs lack
AES instructions. This is an alternative to using a lightweight block
cipher such as Speck128 in XTS mode. We'd prefer XChaCha20, but it's
too slow on some of our target devices, so at least in some cases we do
need the XChaCha12-based version.

Note that it would be trivial to add vanilla ChaCha12 in addition to
XChaCha12. However, it is omitted for now as we don't currently need
it, and users should generally prefer the existing 20-round variant.

Like discussed in the patch that introduced XChaCha20 support, I
considered splitting the code into separate chacha-common, chacha20,
xchacha20, and xchacha12 modules, so that these algorithms could be
enabled/disabled independently. However, since nearly all the code is
shared anyway, I ultimately decided there would have been little benefit
to the added complexity.

Signed-off-by: Eric Biggers <ebiggers@google.com>
---
crypto/Kconfig | 10 +-
crypto/chacha_generic.c | 26 +-
crypto/testmgr.c | 6 +
crypto/testmgr.h | 578 ++++++++++++++++++++++++++++++++++++++++
include/crypto/chacha.h | 9 +
lib/chacha.c | 6 +-
6 files changed, 629 insertions(+), 6 deletions(-)

diff --git a/crypto/Kconfig b/crypto/Kconfig
index a58e4b1f7967..d35d423bb4d1 100644
--- a/crypto/Kconfig
+++ b/crypto/Kconfig
@@ -1437,10 +1437,10 @@ config CRYPTO_SALSA20
Bernstein <djb@cr.yp.to>. See <http://cr.yp.to/snuffle.html>

config CRYPTO_CHACHA20
- tristate "ChaCha20 stream cipher algorithms"
+ tristate "ChaCha stream cipher algorithms"
select CRYPTO_BLKCIPHER
help
- The ChaCha20 and XChaCha20 stream cipher algorithms.
+ The ChaCha20, XChaCha20, and XChaCha12 stream cipher algorithms.

ChaCha20 is a 256-bit high-speed stream cipher designed by Daniel J.
Bernstein and further specified in RFC7539 for use in IETF protocols.
@@ -1453,6 +1453,12 @@ config CRYPTO_CHACHA20
while provably retaining ChaCha20's security. See also:
<https://cr.yp.to/snuffle/xsalsa-20081128.pdf>

+ XChaCha12 is XChaCha20 reduced to 12 rounds, with correspondingly
+ reduced security margin but increased performance. It can be needed
+ in some very performance-sensitive scenarios. There is no known
+ attack on XChaCha12 (or ChaCha12) yet, but it has a higher risk of
+ being broken than the 20-round variant.
+
config CRYPTO_CHACHA20_X86_64
tristate "ChaCha20 cipher algorithm (x86_64/SSSE3/AVX2)"
depends on X86 && 64BIT
diff --git a/crypto/chacha_generic.c b/crypto/chacha_generic.c
index 46496997847a..0a0b66c32d03 100644
--- a/crypto/chacha_generic.c
+++ b/crypto/chacha_generic.c
@@ -1,5 +1,5 @@
/*
- * ChaCha20 (RFC7539) and XChaCha20 stream cipher algorithms
+ * ChaCha and XChaCha stream ciphers, including ChaCha20 (RFC7539)
*
* Copyright (C) 2015 Martin Willi
* Copyright (C) 2018 Google LLC
@@ -105,6 +105,13 @@ int crypto_chacha20_setkey(struct crypto_skcipher *tfm, const u8 *key,
}
EXPORT_SYMBOL_GPL(crypto_chacha20_setkey);

+int crypto_chacha12_setkey(struct crypto_skcipher *tfm, const u8 *key,
+ unsigned int keysize)
+{
+ return chacha_setkey(tfm, key, keysize, 12);
+}
+EXPORT_SYMBOL_GPL(crypto_chacha12_setkey);
+
int crypto_chacha_crypt(struct skcipher_request *req)
{
struct crypto_skcipher *tfm = crypto_skcipher_reqtfm(req);
@@ -167,6 +174,21 @@ static struct skcipher_alg algs[] = {
.setkey = crypto_chacha20_setkey,
.encrypt = crypto_xchacha_crypt,
.decrypt = crypto_xchacha_crypt,
+ }, {
+ .base.cra_name = "xchacha12",
+ .base.cra_driver_name = "xchacha12-generic",
+ .base.cra_priority = 100,
+ .base.cra_blocksize = 1,
+ .base.cra_ctxsize = sizeof(struct chacha_ctx),
+ .base.cra_module = THIS_MODULE,
+
+ .min_keysize = CHACHA_KEY_SIZE,
+ .max_keysize = CHACHA_KEY_SIZE,
+ .ivsize = XCHACHA_IV_SIZE,
+ .chunksize = CHACHA_BLOCK_SIZE,
+ .setkey = crypto_chacha12_setkey,
+ .encrypt = crypto_xchacha_crypt,
+ .decrypt = crypto_xchacha_crypt,
}
};

@@ -190,3 +212,5 @@ MODULE_ALIAS_CRYPTO("chacha20");
MODULE_ALIAS_CRYPTO("chacha20-generic");
MODULE_ALIAS_CRYPTO("xchacha20");
MODULE_ALIAS_CRYPTO("xchacha20-generic");
+MODULE_ALIAS_CRYPTO("xchacha12");
+MODULE_ALIAS_CRYPTO("xchacha12-generic");
diff --git a/crypto/testmgr.c b/crypto/testmgr.c
index bf250ca9a6c3..c06aeb1f01bc 100644
--- a/crypto/testmgr.c
+++ b/crypto/testmgr.c
@@ -3544,6 +3544,12 @@ static const struct alg_test_desc alg_test_descs[] = {
.suite = {
.hash = __VECS(aes_xcbc128_tv_template)
}
+ }, {
+ .alg = "xchacha12",
+ .test = alg_test_skcipher,
+ .suite = {
+ .cipher = __VECS(xchacha12_tv_template)
+ },
}, {
.alg = "xchacha20",
.test = alg_test_skcipher,
diff --git a/crypto/testmgr.h b/crypto/testmgr.h
index 3f992867b747..ba5c31ada273 100644
--- a/crypto/testmgr.h
+++ b/crypto/testmgr.h
@@ -31990,6 +31990,584 @@ static const struct cipher_testvec xchacha20_tv_template[] = {
},
};

+/*
+ * Same as XChaCha20 test vectors above, but recomputed the ciphertext with
+ * XChaCha12, using a modified libsodium.
+ */
+static const struct cipher_testvec xchacha12_tv_template[] = {
+ {
+ .key = "\x79\xc9\x97\x98\xac\x67\x30\x0b"
+ "\xbb\x27\x04\xc9\x5c\x34\x1e\x32"
+ "\x45\xf3\xdc\xb2\x17\x61\xb9\x8e"
+ "\x52\xff\x45\xb2\x4f\x30\x4f\xc4",
+ .klen = 32,
+ .iv = "\xb3\x3f\xfd\x30\x96\x47\x9b\xcf"
+ "\xbc\x9a\xee\x49\x41\x76\x88\xa0"
+ "\xa2\x55\x4f\x8d\x95\x38\x94\x19"
+ "\x00\x00\x00\x00\x00\x00\x00\x00",
+ .ptext = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00",
+ .ctext = "\x1b\x78\x7f\xd7\xa1\x41\x68\xab"
+ "\x3d\x3f\xd1\x7b\x69\x56\xb2\xd5"
+ "\x43\xce\xeb\xaf\x36\xf0\x29\x9d"
+ "\x3a\xfb\x18\xae\x1b",
+ .len = 29,
+ }, {
+ .key = "\x9d\x23\xbd\x41\x49\xcb\x97\x9c"
+ "\xcf\x3c\x5c\x94\xdd\x21\x7e\x98"
+ "\x08\xcb\x0e\x50\xcd\x0f\x67\x81"
+ "\x22\x35\xea\xaf\x60\x1d\x62\x32",
+ .klen = 32,
+ .iv = "\xc0\x47\x54\x82\x66\xb7\xc3\x70"
+ "\xd3\x35\x66\xa2\x42\x5c\xbf\x30"
+ "\xd8\x2d\x1e\xaf\x52\x94\x10\x9e"
+ "\x00\x00\x00\x00\x00\x00\x00\x00",
+ .ptext = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00",
+ .ctext = "\xfb\x32\x09\x1d\x83\x05\xae\x4c"
+ "\x13\x1f\x12\x71\xf2\xca\xb2\xeb"
+ "\x5b\x83\x14\x7d\x83\xf6\x57\x77"
+ "\x2e\x40\x1f\x92\x2c\xf9\xec\x35"
+ "\x34\x1f\x93\xdf\xfb\x30\xd7\x35"
+ "\x03\x05\x78\xc1\x20\x3b\x7a\xe3"
+ "\x62\xa3\x89\xdc\x11\x11\x45\xa8"
+ "\x82\x89\xa0\xf1\x4e\xc7\x0f\x11"
+ "\x69\xdd\x0c\x84\x2b\x89\x5c\xdc"
+ "\xf0\xde\x01\xef\xc5\x65\x79\x23"
+ "\x87\x67\xd6\x50\xd9\x8d\xd9\x92"
+ "\x54\x5b\x0e",
+ .len = 91,
+ }, {
+ .key = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00",
+ .klen = 32,
+ .iv = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x67\xc6\x69\x73"
+ "\x51\xff\x4a\xec\x29\xcd\xba\xab"
+ "\x00\x00\x00\x00\x00\x00\x00\x00",
+ .ptext = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00",
+ .ctext = "\xdf\x2d\xc6\x21\x2a\x9d\xa1\xbb"
+ "\xc2\x77\x66\x0c\x5c\x46\xef\xa7"
+ "\x79\x1b\xb9\xdf\x55\xe2\xf9\x61"
+ "\x4c\x7b\xa4\x52\x24\xaf\xa2\xda"
+ "\xd1\x8f\x8f\xa2\x9e\x53\x4d\xc4"
+ "\xb8\x55\x98\x08\x7c\x08\xd4\x18"
+ "\x67\x8f\xef\x50\xb1\x5f\xa5\x77"
+ "\x4c\x25\xe7\x86\x26\x42\xca\x44",
+ .len = 64,
+ }, {
+ .key = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x00\x00\x00\x00\x01",
+ .klen = 32,
+ .iv = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x02\xf2\xfb\xe3\x46"
+ "\x7c\xc2\x54\xf8\x1b\xe8\xe7\x8d"
+ "\x01\x00\x00\x00\x00\x00\x00\x00",
+ .ptext = "\x41\x6e\x79\x20\x73\x75\x62\x6d"
+ "\x69\x73\x73\x69\x6f\x6e\x20\x74"
+ "\x6f\x20\x74\x68\x65\x20\x49\x45"
+ "\x54\x46\x20\x69\x6e\x74\x65\x6e"
+ "\x64\x65\x64\x20\x62\x79\x20\x74"
+ "\x68\x65\x20\x43\x6f\x6e\x74\x72"
+ "\x69\x62\x75\x74\x6f\x72\x20\x66"
+ "\x6f\x72\x20\x70\x75\x62\x6c\x69"
+ "\x63\x61\x74\x69\x6f\x6e\x20\x61"
+ "\x73\x20\x61\x6c\x6c\x20\x6f\x72"
+ "\x20\x70\x61\x72\x74\x20\x6f\x66"
+ "\x20\x61\x6e\x20\x49\x45\x54\x46"
+ "\x20\x49\x6e\x74\x65\x72\x6e\x65"
+ "\x74\x2d\x44\x72\x61\x66\x74\x20"
+ "\x6f\x72\x20\x52\x46\x43\x20\x61"
+ "\x6e\x64\x20\x61\x6e\x79\x20\x73"
+ "\x74\x61\x74\x65\x6d\x65\x6e\x74"
+ "\x20\x6d\x61\x64\x65\x20\x77\x69"
+ "\x74\x68\x69\x6e\x20\x74\x68\x65"
+ "\x20\x63\x6f\x6e\x74\x65\x78\x74"
+ "\x20\x6f\x66\x20\x61\x6e\x20\x49"
+ "\x45\x54\x46\x20\x61\x63\x74\x69"
+ "\x76\x69\x74\x79\x20\x69\x73\x20"
+ "\x63\x6f\x6e\x73\x69\x64\x65\x72"
+ "\x65\x64\x20\x61\x6e\x20\x22\x49"
+ "\x45\x54\x46\x20\x43\x6f\x6e\x74"
+ "\x72\x69\x62\x75\x74\x69\x6f\x6e"
+ "\x22\x2e\x20\x53\x75\x63\x68\x20"
+ "\x73\x74\x61\x74\x65\x6d\x65\x6e"
+ "\x74\x73\x20\x69\x6e\x63\x6c\x75"
+ "\x64\x65\x20\x6f\x72\x61\x6c\x20"
+ "\x73\x74\x61\x74\x65\x6d\x65\x6e"
+ "\x74\x73\x20\x69\x6e\x20\x49\x45"
+ "\x54\x46\x20\x73\x65\x73\x73\x69"
+ "\x6f\x6e\x73\x2c\x20\x61\x73\x20"
+ "\x77\x65\x6c\x6c\x20\x61\x73\x20"
+ "\x77\x72\x69\x74\x74\x65\x6e\x20"
+ "\x61\x6e\x64\x20\x65\x6c\x65\x63"
+ "\x74\x72\x6f\x6e\x69\x63\x20\x63"
+ "\x6f\x6d\x6d\x75\x6e\x69\x63\x61"
+ "\x74\x69\x6f\x6e\x73\x20\x6d\x61"
+ "\x64\x65\x20\x61\x74\x20\x61\x6e"
+ "\x79\x20\x74\x69\x6d\x65\x20\x6f"
+ "\x72\x20\x70\x6c\x61\x63\x65\x2c"
+ "\x20\x77\x68\x69\x63\x68\x20\x61"
+ "\x72\x65\x20\x61\x64\x64\x72\x65"
+ "\x73\x73\x65\x64\x20\x74\x6f",
+ .ctext = "\xe4\xa6\xc8\x30\xc4\x23\x13\xd6"
+ "\x08\x4d\xc9\xb7\xa5\x64\x7c\xb9"
+ "\x71\xe2\xab\x3e\xa8\x30\x8a\x1c"
+ "\x4a\x94\x6d\x9b\xe0\xb3\x6f\xf1"
+ "\xdc\xe3\x1b\xb3\xa9\x6d\x0d\xd6"
+ "\xd0\xca\x12\xef\xe7\x5f\xd8\x61"
+ "\x3c\x82\xd3\x99\x86\x3c\x6f\x66"
+ "\x02\x06\xdc\x55\xf9\xed\xdf\x38"
+ "\xb4\xa6\x17\x00\x7f\xef\xbf\x4f"
+ "\xf8\x36\xf1\x60\x7e\x47\xaf\xdb"
+ "\x55\x9b\x12\xcb\x56\x44\xa7\x1f"
+ "\xd3\x1a\x07\x3b\x00\xec\xe6\x4c"
+ "\xa2\x43\x27\xdf\x86\x19\x4f\x16"
+ "\xed\xf9\x4a\xf3\x63\x6f\xfa\x7f"
+ "\x78\x11\xf6\x7d\x97\x6f\xec\x6f"
+ "\x85\x0f\x5c\x36\x13\x8d\x87\xe0"
+ "\x80\xb1\x69\x0b\x98\x89\x9c\x4e"
+ "\xf8\xdd\xee\x5c\x0a\x85\xce\xd4"
+ "\xea\x1b\x48\xbe\x08\xf8\xe2\xa8"
+ "\xa5\xb0\x3c\x79\xb1\x15\xb4\xb9"
+ "\x75\x10\x95\x35\x81\x7e\x26\xe6"
+ "\x78\xa4\x88\xcf\xdb\x91\x34\x18"
+ "\xad\xd7\x8e\x07\x7d\xab\x39\xf9"
+ "\xa3\x9e\xa5\x1d\xbb\xed\x61\xfd"
+ "\xdc\xb7\x5a\x27\xfc\xb5\xc9\x10"
+ "\xa8\xcc\x52\x7f\x14\x76\x90\xe7"
+ "\x1b\x29\x60\x74\xc0\x98\x77\xbb"
+ "\xe0\x54\xbb\x27\x49\x59\x1e\x62"
+ "\x3d\xaf\x74\x06\xa4\x42\x6f\xc6"
+ "\x52\x97\xc4\x1d\xc4\x9f\xe2\xe5"
+ "\x38\x57\x91\xd1\xa2\x28\xcc\x40"
+ "\xcc\x70\x59\x37\xfc\x9f\x4b\xda"
+ "\xa0\xeb\x97\x9a\x7d\xed\x14\x5c"
+ "\x9c\xb7\x93\x26\x41\xa8\x66\xdd"
+ "\x87\x6a\xc0\xd3\xc2\xa9\x3e\xae"
+ "\xe9\x72\xfe\xd1\xb3\xac\x38\xea"
+ "\x4d\x15\xa9\xd5\x36\x61\xe9\x96"
+ "\x6c\x23\xf8\x43\xe4\x92\x29\xd9"
+ "\x8b\x78\xf7\x0a\x52\xe0\x19\x5b"
+ "\x59\x69\x5b\x5d\xa1\x53\xc4\x68"
+ "\xe1\xbb\xac\x89\x14\xe2\xe2\x85"
+ "\x41\x18\xf5\xb3\xd1\xfa\x68\x19"
+ "\x44\x78\xdc\xcf\xe7\x88\x2d\x52"
+ "\x5f\x40\xb5\x7e\xf8\x88\xa2\xae"
+ "\x4a\xb2\x07\x35\x9d\x9b\x07\x88"
+ "\xb7\x00\xd0\x0c\xb6\xa0\x47\x59"
+ "\xda\x4e\xc9\xab\x9b\x8a\x7b",
+
+ .len = 375,
+ .also_non_np = 1,
+ .np = 3,
+ .tap = { 375 - 20, 4, 16 },
+
+ }, {
+ .key = "\x1c\x92\x40\xa5\xeb\x55\xd3\x8a"
+ "\xf3\x33\x88\x86\x04\xf6\xb5\xf0"
+ "\x47\x39\x17\xc1\x40\x2b\x80\x09"
+ "\x9d\xca\x5c\xbc\x20\x70\x75\xc0",
+ .klen = 32,
+ .iv = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x02\x76\x5a\x2e\x63"
+ "\x33\x9f\xc9\x9a\x66\x32\x0d\xb7"
+ "\x2a\x00\x00\x00\x00\x00\x00\x00",
+ .ptext = "\x27\x54\x77\x61\x73\x20\x62\x72"
+ "\x69\x6c\x6c\x69\x67\x2c\x20\x61"
+ "\x6e\x64\x20\x74\x68\x65\x20\x73"
+ "\x6c\x69\x74\x68\x79\x20\x74\x6f"
+ "\x76\x65\x73\x0a\x44\x69\x64\x20"
+ "\x67\x79\x72\x65\x20\x61\x6e\x64"
+ "\x20\x67\x69\x6d\x62\x6c\x65\x20"
+ "\x69\x6e\x20\x74\x68\x65\x20\x77"
+ "\x61\x62\x65\x3a\x0a\x41\x6c\x6c"
+ "\x20\x6d\x69\x6d\x73\x79\x20\x77"
+ "\x65\x72\x65\x20\x74\x68\x65\x20"
+ "\x62\x6f\x72\x6f\x67\x6f\x76\x65"
+ "\x73\x2c\x0a\x41\x6e\x64\x20\x74"
+ "\x68\x65\x20\x6d\x6f\x6d\x65\x20"
+ "\x72\x61\x74\x68\x73\x20\x6f\x75"
+ "\x74\x67\x72\x61\x62\x65\x2e",
+ .ctext = "\xb9\x68\xbc\x6a\x24\xbc\xcc\xd8"
+ "\x9b\x2a\x8d\x5b\x96\xaf\x56\xe3"
+ "\x11\x61\xe7\xa7\x9b\xce\x4e\x7d"
+ "\x60\x02\x48\xac\xeb\xd5\x3a\x26"
+ "\x9d\x77\x3b\xb5\x32\x13\x86\x8e"
+ "\x20\x82\x26\x72\xae\x64\x1b\x7e"
+ "\x2e\x01\x68\xb4\x87\x45\xa1\x24"
+ "\xe4\x48\x40\xf0\xaa\xac\xee\xa9"
+ "\xfc\x31\xad\x9d\x89\xa3\xbb\xd2"
+ "\xe4\x25\x13\xad\x0f\x5e\xdf\x3c"
+ "\x27\xab\xb8\x62\x46\x22\x30\x48"
+ "\x55\x2c\x4e\x84\x78\x1d\x0d\x34"
+ "\x8d\x3c\x91\x0a\x7f\x5b\x19\x9f"
+ "\x97\x05\x4c\xa7\x62\x47\x8b\xc5"
+ "\x44\x2e\x20\x33\xdd\xa0\x82\xa9"
+ "\x25\x76\x37\xe6\x3c\x67\x5b",
+ .len = 127,
+ }, {
+ .key = "\x1c\x92\x40\xa5\xeb\x55\xd3\x8a"
+ "\xf3\x33\x88\x86\x04\xf6\xb5\xf0"
+ "\x47\x39\x17\xc1\x40\x2b\x80\x09"
+ "\x9d\xca\x5c\xbc\x20\x70\x75\xc0",
+ .klen = 32,
+ .iv = "\x00\x00\x00\x00\x00\x00\x00\x00"
+ "\x00\x00\x00\x01\x31\x58\xa3\x5a"
+ "\x25\x5d\x05\x17\x58\xe9\x5e\xd4"
+ "\x1c\x00\x00\x00\x00\x00\x00\x00",
+ .ptext = "\x49\xee\xe0\xdc\x24\x90\x40\xcd"
+ "\xc5\x40\x8f\x47\x05\xbc\xdd\x81"
+ "\x47\xc6\x8d\xe6\xb1\x8f\xd7\xcb"
+ "\x09\x0e\x6e\x22\x48\x1f\xbf\xb8"
+ "\x5c\xf7\x1e\x8a\xc1\x23\xf2\xd4"
+ "\x19\x4b\x01\x0f\x4e\xa4\x43\xce"
+ "\x01\xc6\x67\xda\x03\x91\x18\x90"
+ "\xa5\xa4\x8e\x45\x03\xb3\x2d\xac"
+ "\x74\x92\xd3\x53\x47\xc8\xdd\x25"
+ "\x53\x6c\x02\x03\x87\x0d\x11\x0c"
+ "\x58\xe3\x12\x18\xfd\x2a\x5b\x40"
+ "\x0c\x30\xf0\xb8\x3f\x43\xce\xae"
+ "\x65\x3a\x7d\x7c\xf4\x54\xaa\xcc"
+ "\x33\x97\xc3\x77\xba\xc5\x70\xde"
+ "\xd7\xd5\x13\xa5\x65\xc4\x5f\x0f"
+ "\x46\x1a\x0d\x97\xb5\xf3\xbb\x3c"
+ "\x84\x0f\x2b\xc5\xaa\xea\xf2\x6c"
+ "\xc9\xb5\x0c\xee\x15\xf3\x7d\xbe"
+ "\x9f\x7b\x5a\xa6\xae\x4f\x83\xb6"
+ "\x79\x49\x41\xf4\x58\x18\xcb\x86"
+ "\x7f\x30\x0e\xf8\x7d\x44\x36\xea"
+ "\x75\xeb\x88\x84\x40\x3c\xad\x4f"
+ "\x6f\x31\x6b\xaa\x5d\xe5\xa5\xc5"
+ "\x21\x66\xe9\xa7\xe3\xb2\x15\x88"
+ "\x78\xf6\x79\xa1\x59\x47\x12\x4e"
+ "\x9f\x9f\x64\x1a\xa0\x22\x5b\x08"
+ "\xbe\x7c\x36\xc2\x2b\x66\x33\x1b"
+ "\xdd\x60\x71\xf7\x47\x8c\x61\xc3"
+ "\xda\x8a\x78\x1e\x16\xfa\x1e\x86"
+ "\x81\xa6\x17\x2a\xa7\xb5\xc2\xe7"
+ "\xa4\xc7\x42\xf1\xcf\x6a\xca\xb4"
+ "\x45\xcf\xf3\x93\xf0\xe7\xea\xf6"
+ "\xf4\xe6\x33\x43\x84\x93\xa5\x67"
+ "\x9b\x16\x58\x58\x80\x0f\x2b\x5c"
+ "\x24\x74\x75\x7f\x95\x81\xb7\x30"
+ "\x7a\x33\xa7\xf7\x94\x87\x32\x27"
+ "\x10\x5d\x14\x4c\x43\x29\xdd\x26"
+ "\xbd\x3e\x3c\x0e\xfe\x0e\xa5\x10"
+ "\xea\x6b\x64\xfd\x73\xc6\xed\xec"
+ "\xa8\xc9\xbf\xb3\xba\x0b\x4d\x07"
+ "\x70\xfc\x16\xfd\x79\x1e\xd7\xc5"
+ "\x49\x4e\x1c\x8b\x8d\x79\x1b\xb1"
+ "\xec\xca\x60\x09\x4c\x6a\xd5\x09"
+ "\x49\x46\x00\x88\x22\x8d\xce\xea"
+ "\xb1\x17\x11\xde\x42\xd2\x23\xc1"
+ "\x72\x11\xf5\x50\x73\x04\x40\x47"
+ "\xf9\x5d\xe7\xa7\x26\xb1\x7e\xb0"
+ "\x3f\x58\xc1\x52\xab\x12\x67\x9d"
+ "\x3f\x43\x4b\x68\xd4\x9c\x68\x38"
+ "\x07\x8a\x2d\x3e\xf3\xaf\x6a\x4b"
+ "\xf9\xe5\x31\x69\x22\xf9\xa6\x69"
+ "\xc6\x9c\x96\x9a\x12\x35\x95\x1d"
+ "\x95\xd5\xdd\xbe\xbf\x93\x53\x24"
+ "\xfd\xeb\xc2\x0a\x64\xb0\x77\x00"
+ "\x6f\x88\xc4\x37\x18\x69\x7c\xd7"
+ "\x41\x92\x55\x4c\x03\xa1\x9a\x4b"
+ "\x15\xe5\xdf\x7f\x37\x33\x72\xc1"
+ "\x8b\x10\x67\xa3\x01\x57\x94\x25"
+ "\x7b\x38\x71\x7e\xdd\x1e\xcc\x73"
+ "\x55\xd2\x8e\xeb\x07\xdd\xf1\xda"
+ "\x58\xb1\x47\x90\xfe\x42\x21\x72"
+ "\xa3\x54\x7a\xa0\x40\xec\x9f\xdd"
+ "\xc6\x84\x6e\xca\xae\xe3\x68\xb4"
+ "\x9d\xe4\x78\xff\x57\xf2\xf8\x1b"
+ "\x03\xa1\x31\xd9\xde\x8d\xf5\x22"
+ "\x9c\xdd\x20\xa4\x1e\x27\xb1\x76"
+ "\x4f\x44\x55\xe2\x9b\xa1\x9c\xfe"
+ "\x54\xf7\x27\x1b\xf4\xde\x02\xf5"
+ "\x1b\x55\x48\x5c\xdc\x21\x4b\x9e"
+ "\x4b\x6e\xed\x46\x23\xdc\x65\xb2"
+ "\xcf\x79\x5f\x28\xe0\x9e\x8b\xe7"
+ "\x4c\x9d\x8a\xff\xc1\xa6\x28\xb8"
+ "\x65\x69\x8a\x45\x29\xef\x74\x85"
+ "\xde\x79\xc7\x08\xae\x30\xb0\xf4"
+ "\xa3\x1d\x51\x41\xab\xce\xcb\xf6"
+ "\xb5\xd8\x6d\xe0\x85\xe1\x98\xb3"
+ "\x43\xbb\x86\x83\x0a\xa0\xf5\xb7"
+ "\x04\x0b\xfa\x71\x1f\xb0\xf6\xd9"
+ "\x13\x00\x15\xf0\xc7\xeb\x0d\x5a"
+ "\x9f\xd7\xb9\x6c\x65\x14\x22\x45"
+ "\x6e\x45\x32\x3e\x7e\x60\x1a\x12"
+ "\x97\x82\x14\xfb\xaa\x04\x22\xfa"
+ "\xa0\xe5\x7e\x8c\x78\x02\x48\x5d"
+ "\x78\x33\x5a\x7c\xad\xdb\x29\xce"
+ "\xbb\x8b\x61\xa4\xb7\x42\xe2\xac"
+ "\x8b\x1a\xd9\x2f\x0b\x8b\x62\x21"
+ "\x83\x35\x7e\xad\x73\xc2\xb5\x6c"
+ "\x10\x26\x38\x07\xe5\xc7\x36\x80"
+ "\xe2\x23\x12\x61\xf5\x48\x4b\x2b"
+ "\xc5\xdf\x15\xd9\x87\x01\xaa\xac"
+ "\x1e\x7c\xad\x73\x78\x18\x63\xe0"
+ "\x8b\x9f\x81\xd8\x12\x6a\x28\x10"
+ "\xbe\x04\x68\x8a\x09\x7c\x1b\x1c"
+ "\x83\x66\x80\x47\x80\xe8\xfd\x35"
+ "\x1c\x97\x6f\xae\x49\x10\x66\xcc"
+ "\xc6\xd8\xcc\x3a\x84\x91\x20\x77"
+ "\x72\xe4\x24\xd2\x37\x9f\xc5\xc9"
+ "\x25\x94\x10\x5f\x40\x00\x64\x99"
+ "\xdc\xae\xd7\x21\x09\x78\x50\x15"
+ "\xac\x5f\xc6\x2c\xa2\x0b\xa9\x39"
+ "\x87\x6e\x6d\xab\xde\x08\x51\x16"
+ "\xc7\x13\xe9\xea\xed\x06\x8e\x2c"
+ "\xf8\x37\x8c\xf0\xa6\x96\x8d\x43"
+ "\xb6\x98\x37\xb2\x43\xed\xde\xdf"
+ "\x89\x1a\xe7\xeb\x9d\xa1\x7b\x0b"
+ "\x77\xb0\xe2\x75\xc0\xf1\x98\xd9"
+ "\x80\x55\xc9\x34\x91\xd1\x59\xe8"
+ "\x4b\x0f\xc1\xa9\x4b\x7a\x84\x06"
+ "\x20\xa8\x5d\xfa\xd1\xde\x70\x56"
+ "\x2f\x9e\x91\x9c\x20\xb3\x24\xd8"
+ "\x84\x3d\xe1\x8c\x7e\x62\x52\xe5"
+ "\x44\x4b\x9f\xc2\x93\x03\xea\x2b"
+ "\x59\xc5\xfa\x3f\x91\x2b\xbb\x23"
+ "\xf5\xb2\x7b\xf5\x38\xaf\xb3\xee"
+ "\x63\xdc\x7b\xd1\xff\xaa\x8b\xab"
+ "\x82\x6b\x37\x04\xeb\x74\xbe\x79"
+ "\xb9\x83\x90\xef\x20\x59\x46\xff"
+ "\xe9\x97\x3e\x2f\xee\xb6\x64\x18"
+ "\x38\x4c\x7a\x4a\xf9\x61\xe8\x9a"
+ "\xa1\xb5\x01\xa6\x47\xd3\x11\xd4"
+ "\xce\xd3\x91\x49\x88\xc7\xb8\x4d"
+ "\xb1\xb9\x07\x6d\x16\x72\xae\x46"
+ "\x5e\x03\xa1\x4b\xb6\x02\x30\xa8"
+ "\x3d\xa9\x07\x2a\x7c\x19\xe7\x62"
+ "\x87\xe3\x82\x2f\x6f\xe1\x09\xd9"
+ "\x94\x97\xea\xdd\x58\x9e\xae\x76"
+ "\x7e\x35\xe5\xb4\xda\x7e\xf4\xde"
+ "\xf7\x32\x87\xcd\x93\xbf\x11\x56"
+ "\x11\xbe\x08\x74\xe1\x69\xad\xe2"
+ "\xd7\xf8\x86\x75\x8a\x3c\xa4\xbe"
+ "\x70\xa7\x1b\xfc\x0b\x44\x2a\x76"
+ "\x35\xea\x5d\x85\x81\xaf\x85\xeb"
+ "\xa0\x1c\x61\xc2\xf7\x4f\xa5\xdc"
+ "\x02\x7f\xf6\x95\x40\x6e\x8a\x9a"
+ "\xf3\x5d\x25\x6e\x14\x3a\x22\xc9"
+ "\x37\x1c\xeb\x46\x54\x3f\xa5\x91"
+ "\xc2\xb5\x8c\xfe\x53\x08\x97\x32"
+ "\x1b\xb2\x30\x27\xfe\x25\x5d\xdc"
+ "\x08\x87\xd0\xe5\x94\x1a\xd4\xf1"
+ "\xfe\xd6\xb4\xa3\xe6\x74\x81\x3c"
+ "\x1b\xb7\x31\xa7\x22\xfd\xd4\xdd"
+ "\x20\x4e\x7c\x51\xb0\x60\x73\xb8"
+ "\x9c\xac\x91\x90\x7e\x01\xb0\xe1"
+ "\x8a\x2f\x75\x1c\x53\x2a\x98\x2a"
+ "\x06\x52\x95\x52\xb2\xe9\x25\x2e"
+ "\x4c\xe2\x5a\x00\xb2\x13\x81\x03"
+ "\x77\x66\x0d\xa5\x99\xda\x4e\x8c"
+ "\xac\xf3\x13\x53\x27\x45\xaf\x64"
+ "\x46\xdc\xea\x23\xda\x97\xd1\xab"
+ "\x7d\x6c\x30\x96\x1f\xbc\x06\x34"
+ "\x18\x0b\x5e\x21\x35\x11\x8d\x4c"
+ "\xe0\x2d\xe9\x50\x16\x74\x81\xa8"
+ "\xb4\x34\xb9\x72\x42\xa6\xcc\xbc"
+ "\xca\x34\x83\x27\x10\x5b\x68\x45"
+ "\x8f\x52\x22\x0c\x55\x3d\x29\x7c"
+ "\xe3\xc0\x66\x05\x42\x91\x5f\x58"
+ "\xfe\x4a\x62\xd9\x8c\xa9\x04\x19"
+ "\x04\xa9\x08\x4b\x57\xfc\x67\x53"
+ "\x08\x7c\xbc\x66\x8a\xb0\xb6\x9f"
+ "\x92\xd6\x41\x7c\x5b\x2a\x00\x79"
+ "\x72",
+ .ctext = "\xe1\xb6\x8b\x5c\x80\xb8\xcc\x08"
+ "\x1b\x84\xb2\xd1\xad\xa4\x70\xac"
+ "\x67\xa9\x39\x27\xac\xb4\x5b\xb7"
+ "\x4c\x26\x77\x23\x1d\xce\x0a\xbe"
+ "\x18\x9e\x42\x8b\xbd\x7f\xd6\xf1"
+ "\xf1\x6b\xe2\x6d\x7f\x92\x0e\xcb"
+ "\xb8\x79\xba\xb4\xac\x7e\x2d\xc0"
+ "\x9e\x83\x81\x91\xd5\xea\xc3\x12"
+ "\x8d\xa4\x26\x70\xa4\xf9\x71\x0b"
+ "\xbd\x2e\xe1\xb3\x80\x42\x25\xb3"
+ "\x0b\x31\x99\xe1\x0d\xde\xa6\x90"
+ "\xf2\xa3\x10\xf7\xe5\xf3\x83\x1e"
+ "\x2c\xfb\x4d\xf0\x45\x3d\x28\x3c"
+ "\xb8\xf1\xcb\xbf\x67\xd8\x43\x5a"
+ "\x9d\x7b\x73\x29\x88\x0f\x13\x06"
+ "\x37\x50\x0d\x7c\xe6\x9b\x07\xdd"
+ "\x7e\x01\x1f\x81\x90\x10\x69\xdb"
+ "\xa4\xad\x8a\x5e\xac\x30\x72\xf2"
+ "\x36\xcd\xe3\x23\x49\x02\x93\xfa"
+ "\x3d\xbb\xe2\x98\x83\xeb\xe9\x8d"
+ "\xb3\x8f\x11\xaa\x53\xdb\xaf\x2e"
+ "\x95\x13\x99\x3d\x71\xbd\x32\x92"
+ "\xdd\xfc\x9d\x5e\x6f\x63\x2c\xee"
+ "\x91\x1f\x4c\x64\x3d\x87\x55\x0f"
+ "\xcc\x3d\x89\x61\x53\x02\x57\x8f"
+ "\xe4\x77\x29\x32\xaf\xa6\x2f\x0a"
+ "\xae\x3c\x3f\x3f\xf4\xfb\x65\x52"
+ "\xc5\xc1\x78\x78\x53\x28\xad\xed"
+ "\xd1\x67\x37\xc7\x59\x70\xcd\x0a"
+ "\xb8\x0f\x80\x51\x9f\xc0\x12\x5e"
+ "\x06\x0a\x7e\xec\x24\x5f\x73\x00"
+ "\xb1\x0b\x31\x47\x4f\x73\x8d\xb4"
+ "\xce\xf3\x55\x45\x6c\x84\x27\xba"
+ "\xb9\x6f\x03\x4a\xeb\x98\x88\x6e"
+ "\x53\xed\x25\x19\x0d\x8f\xfe\xca"
+ "\x60\xe5\x00\x93\x6e\x3c\xff\x19"
+ "\xae\x08\x3b\x8a\xa6\x84\x05\xfe"
+ "\x9b\x59\xa0\x8c\xc8\x05\x45\xf5"
+ "\x05\x37\xdc\x45\x6f\x8b\x95\x8c"
+ "\x4e\x11\x45\x7a\xce\x21\xa5\xf7"
+ "\x71\x67\xb9\xce\xd7\xf9\xe9\x5e"
+ "\x60\xf5\x53\x7a\xa8\x85\x14\x03"
+ "\xa0\x92\xec\xf3\x51\x80\x84\xc4"
+ "\xdc\x11\x9e\x57\xce\x4b\x45\xcf"
+ "\x90\x95\x85\x0b\x96\xe9\xee\x35"
+ "\x10\xb8\x9b\xf2\x59\x4a\xc6\x7e"
+ "\x85\xe5\x6f\x38\x51\x93\x40\x0c"
+ "\x99\xd7\x7f\x32\xa8\x06\x27\xd1"
+ "\x2b\xd5\xb5\x3a\x1a\xe1\x5e\xda"
+ "\xcd\x5a\x50\x30\x3c\xc7\xe7\x65"
+ "\xa6\x07\x0b\x98\x91\xc6\x20\x27"
+ "\x2a\x03\x63\x1b\x1e\x3d\xaf\xc8"
+ "\x71\x48\x46\x6a\x64\x28\xf9\x3d"
+ "\xd1\x1d\xab\xc8\x40\x76\xc2\x39"
+ "\x4e\x00\x75\xd2\x0e\x82\x58\x8c"
+ "\xd3\x73\x5a\xea\x46\x89\xbe\xfd"
+ "\x4e\x2c\x0d\x94\xaa\x9b\x68\xac"
+ "\x86\x87\x30\x7e\xa9\x16\xcd\x59"
+ "\xd2\xa6\xbe\x0a\xd8\xf5\xfd\x2d"
+ "\x49\x69\xd2\x1a\x90\xd2\x1b\xed"
+ "\xff\x71\x04\x87\x87\x21\xc4\xb8"
+ "\x1f\x5b\x51\x33\xd0\xd6\x59\x9a"
+ "\x03\x0e\xd3\x8b\xfb\x57\x73\xfd"
+ "\x5a\x52\x63\x82\xc8\x85\x2f\xcb"
+ "\x74\x6d\x4e\xd9\x68\x37\x85\x6a"
+ "\xd4\xfb\x94\xed\x8d\xd1\x1a\xaf"
+ "\x76\xa7\xb7\x88\xd0\x2b\x4e\xda"
+ "\xec\x99\x94\x27\x6f\x87\x8c\xdf"
+ "\x4b\x5e\xa6\x66\xdd\xcb\x33\x7b"
+ "\x64\x94\x31\xa8\x37\xa6\x1d\xdb"
+ "\x0d\x5c\x93\xa4\x40\xf9\x30\x53"
+ "\x4b\x74\x8d\xdd\xf6\xde\x3c\xac"
+ "\x5c\x80\x01\x3a\xef\xb1\x9a\x02"
+ "\x0c\x22\x8e\xe7\x44\x09\x74\x4c"
+ "\xf2\x9a\x27\x69\x7f\x12\x32\x36"
+ "\xde\x92\xdf\xde\x8f\x5b\x31\xab"
+ "\x4a\x01\x26\xe0\xb1\xda\xe8\x37"
+ "\x21\x64\xe8\xff\x69\xfc\x9e\x41"
+ "\xd2\x96\x2d\x18\x64\x98\x33\x78"
+ "\x24\x61\x73\x9b\x47\x29\xf1\xa7"
+ "\xcb\x27\x0f\xf0\x85\x6d\x8c\x9d"
+ "\x2c\x95\x9e\xe5\xb2\x8e\x30\x29"
+ "\x78\x8a\x9d\x65\xb4\x8e\xde\x7b"
+ "\xd9\x00\x50\xf5\x7f\x81\xc3\x1b"
+ "\x25\x85\xeb\xc2\x8c\x33\x22\x1e"
+ "\x68\x38\x22\x30\xd8\x2e\x00\x98"
+ "\x85\x16\x06\x56\xb4\x81\x74\x20"
+ "\x95\xdb\x1c\x05\x19\xe8\x23\x4d"
+ "\x65\x5d\xcc\xd8\x7f\xc4\x2d\x0f"
+ "\x57\x26\x71\x07\xad\xaa\x71\x9f"
+ "\x19\x76\x2f\x25\x51\x88\xe4\xc0"
+ "\x82\x6e\x08\x05\x37\x04\xee\x25"
+ "\x23\x90\xe9\x4e\xce\x9b\x16\xc1"
+ "\x31\xe7\x6e\x2c\x1b\xe1\x85\x9a"
+ "\x0c\x8c\xbb\x12\x1e\x68\x7b\x93"
+ "\xa9\x3c\x39\x56\x23\x3e\x6e\xc7"
+ "\x77\x84\xd3\xe0\x86\x59\xaa\xb9"
+ "\xd5\x53\x58\xc9\x0a\x83\x5f\x85"
+ "\xd8\x47\x14\x67\x8a\x3c\x17\xe0"
+ "\xab\x02\x51\xea\xf1\xf0\x4f\x30"
+ "\x7d\xe0\x92\xc2\x5f\xfb\x19\x5a"
+ "\x3f\xbd\xf4\x39\xa4\x31\x0c\x39"
+ "\xd1\xae\x4e\xf7\x65\x7f\x1f\xce"
+ "\xc2\x39\xd1\x84\xd4\xe5\x02\xe0"
+ "\x58\xaa\xf1\x5e\x81\xaf\x7f\x72"
+ "\x0f\x08\x99\x43\xb9\xd8\xac\x41"
+ "\x35\x55\xf2\xb2\xd4\x98\xb8\x3b"
+ "\x2b\x3c\x3e\x16\x06\x31\xfc\x79"
+ "\x47\x38\x63\x51\xc5\xd0\x26\xd7"
+ "\x43\xb4\x2b\xd9\xc5\x05\xf2\x9d"
+ "\x18\xc9\x26\x82\x56\xd2\x11\x05"
+ "\xb6\x89\xb4\x43\x9c\xb5\x9d\x11"
+ "\x6c\x83\x37\x71\x27\x1c\xae\xbf"
+ "\xcd\x57\xd2\xee\x0d\x5a\x15\x26"
+ "\x67\x88\x80\x80\x1b\xdc\xc1\x62"
+ "\xdd\x4c\xff\x92\x5c\x6c\xe1\xa0"
+ "\xe3\x79\xa9\x65\x8c\x8c\x14\x42"
+ "\xe5\x11\xd2\x1a\xad\xa9\x56\x6f"
+ "\x98\xfc\x8a\x7b\x56\x1f\xc6\xc1"
+ "\x52\x12\x92\x9b\x41\x0f\x4b\xae"
+ "\x1b\x4a\xbc\xfe\x23\xb6\x94\x70"
+ "\x04\x30\x9e\x69\x47\xbe\xb8\x8f"
+ "\xca\x45\xd7\x8a\xf4\x78\x3e\xaa"
+ "\x71\x17\xd8\x1e\xb8\x11\x8f\xbc"
+ "\xc8\x1a\x65\x7b\x41\x89\x72\xc7"
+ "\x5f\xbe\xc5\x2a\xdb\x5c\x54\xf9"
+ "\x25\xa3\x7a\x80\x56\x9c\x8c\xab"
+ "\x26\x19\x10\x36\xa6\xf3\x14\x79"
+ "\x40\x98\x70\x68\xb7\x35\xd9\xb9"
+ "\x27\xd4\xe7\x74\x5b\x3d\x97\xb4"
+ "\xd9\xaa\xd9\xf2\xb5\x14\x84\x1f"
+ "\xa9\xde\x12\x44\x5b\x00\xc0\xbc"
+ "\xc8\x11\x25\x1b\x67\x7a\x15\x72"
+ "\xa6\x31\x6f\xf4\x68\x7a\x86\x9d"
+ "\x43\x1c\x5f\x16\xd3\xad\x2e\x52"
+ "\xf3\xb4\xc3\xfa\x27\x2e\x68\x6c"
+ "\x06\xe7\x4c\x4f\xa2\xe0\xe4\x21"
+ "\x5d\x9e\x33\x58\x8d\xbf\xd5\x70"
+ "\xf8\x80\xa5\xdd\xe7\x18\x79\xfa"
+ "\x7b\xfd\x09\x69\x2c\x37\x32\xa8"
+ "\x65\xfa\x8d\x8b\x5c\xcc\xe8\xf3"
+ "\x37\xf6\xa6\xc6\x5c\xa2\x66\x79"
+ "\xfa\x8a\xa7\xd1\x0b\x2e\x1b\x5e"
+ "\x95\x35\x00\x76\xae\x42\xf7\x50"
+ "\x51\x78\xfb\xb4\x28\x24\xde\x1a"
+ "\x70\x8b\xed\xca\x3c\x5e\xe4\xbd"
+ "\x28\xb5\xf3\x76\x4f\x67\x5d\x81"
+ "\xb2\x60\x87\xd9\x7b\x19\x1a\xa7"
+ "\x79\xa2\xfa\x3f\x9e\xa9\xd7\x25"
+ "\x61\xe1\x74\x31\xa2\x77\xa0\x1b"
+ "\xf6\xf7\xcb\xc5\xaa\x9e\xce\xf9"
+ "\x9b\x96\xef\x51\xc3\x1a\x44\x96"
+ "\xae\x17\x50\xab\x29\x08\xda\xcc"
+ "\x1a\xb3\x12\xd0\x24\xe4\xe2\xe0"
+ "\xc6\xe3\xcc\x82\xd0\xba\x47\x4c"
+ "\x3f\x49\xd7\xe8\xb6\x61\xaa\x65"
+ "\x25\x18\x40\x2d\x62\x25\x02\x71"
+ "\x61\xa2\xc1\xb2\x13\xd2\x71\x3f"
+ "\x43\x1a\xc9\x09\x92\xff\xd5\x57"
+ "\xf0\xfc\x5e\x1c\xf1\xf5\xf9\xf3"
+ "\x5b",
+ .len = 1281,
+ .also_non_np = 1,
+ .np = 3,
+ .tap = { 1200, 1, 80 },
+ },
+};
+
/*
* CTS (Cipher Text Stealing) mode tests
*/
diff --git a/include/crypto/chacha.h b/include/crypto/chacha.h
index a504350f54df..3cd9bfc71ed9 100644
--- a/include/crypto/chacha.h
+++ b/include/crypto/chacha.h
@@ -5,6 +5,13 @@
* XChaCha extends ChaCha's nonce to 192 bits, while provably retaining ChaCha's
* security. Here they share the same key size, tfm context, and setkey
* function; only their IV size and encrypt/decrypt function differ.
+ *
+ * The ChaCha paper specifies 20, 12, and 8-round variants. In general, it is
+ * strongly recommended to use the 20-round variant ChaCha20. However, the
+ * reduced-round variants can be needed in some very performance-sensitive
+ * scenarios where a reduced security margin may be tolerated.
+ *
+ * The generic ChaCha code currently allows only the 20 and 12-round variants.
*/

#ifndef _CRYPTO_CHACHA_H
@@ -40,6 +47,8 @@ void crypto_chacha_init(u32 *state, struct chacha_ctx *ctx, u8 *iv);

int crypto_chacha20_setkey(struct crypto_skcipher *tfm, const u8 *key,
unsigned int keysize);
+int crypto_chacha12_setkey(struct crypto_skcipher *tfm, const u8 *key,
+ unsigned int keysize);

int crypto_chacha_crypt(struct skcipher_request *req);
int crypto_xchacha_crypt(struct skcipher_request *req);
diff --git a/lib/chacha.c b/lib/chacha.c
index b0fd1e0882e3..d29965a5cf5e 100644
--- a/lib/chacha.c
+++ b/lib/chacha.c
@@ -21,7 +21,7 @@ static void chacha_permute(u32 *x, int nrounds)
int i;

/* whitelist the allowed round counts */
- BUG_ON(nrounds != 20);
+ BUG_ON(nrounds != 20 && nrounds != 12);

for (i = 0; i < nrounds; i += 2) {
x[0] += x[4]; x[12] = rol32(x[12] ^ x[0], 16);
@@ -70,7 +70,7 @@ static void chacha_permute(u32 *x, int nrounds)
* chacha_block - generate one keystream block and increment block counter
* @state: input state matrix (16 32-bit words)
* @stream: output keystream block (64 bytes)
- * @nrounds: number of rounds (currently must be 20)
+ * @nrounds: number of rounds (20 or 12; 20 is recommended)
*
* This is the ChaCha core, a function from 64-byte strings to 64-byte strings.
* The caller has already converted the endianness of the input. This function
@@ -96,7 +96,7 @@ EXPORT_SYMBOL(chacha_block);
* hchacha_block - abbreviated ChaCha core, for XChaCha
* @in: input state matrix (16 32-bit words)
* @out: output (8 32-bit words)
- * @nrounds: number of rounds (currently must be 20)
+ * @nrounds: number of rounds (20 or 12; 20 is recommended)
*
* HChaCha is the ChaCha equivalent of HSalsa and is an intermediate step
* towards XChaCha (see https://cr.yp.to/snuffle/xsalsa-20081128.pdf). HChaCha
--
2.18.0.597.ga71716f1ad-goog
\
 
 \ /
  Last update: 2018-08-07 00:36    [W:0.149 / U:17.396 seconds]
©2003-2018 Jasper Spaans|hosted at Digital Ocean and TransIP|Read the blog|Advertise on this site