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dh.c
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// SPDX-License-Identifier: GPL-2.0-or-later
/* Diffie-Hellman Key Agreement Method [RFC2631]
*
* Copyright (c) 2016, Intel Corporation
* Authors: Salvatore Benedetto <[email protected]>
*/
#include <linux/fips.h>
#include <linux/module.h>
#include <crypto/internal/kpp.h>
#include <crypto/kpp.h>
#include <crypto/dh.h>
#include <crypto/rng.h>
#include <linux/mpi.h>
struct dh_ctx {
MPI p; /* Value is guaranteed to be set. */
MPI g; /* Value is guaranteed to be set. */
MPI xa; /* Value is guaranteed to be set. */
};
static void dh_clear_ctx(struct dh_ctx *ctx)
{
mpi_free(ctx->p);
mpi_free(ctx->g);
mpi_free(ctx->xa);
memset(ctx, 0, sizeof(*ctx));
}
/*
* If base is g we compute the public key
* ya = g^xa mod p; [RFC2631 sec 2.1.1]
* else if base if the counterpart public key we compute the shared secret
* ZZ = yb^xa mod p; [RFC2631 sec 2.1.1]
*/
static int _compute_val(const struct dh_ctx *ctx, MPI base, MPI val)
{
/* val = base^xa mod p */
return mpi_powm(val, base, ctx->xa, ctx->p);
}
static inline struct dh_ctx *dh_get_ctx(struct crypto_kpp *tfm)
{
return kpp_tfm_ctx(tfm);
}
static int dh_check_params_length(unsigned int p_len)
{
if (fips_enabled)
return (p_len < 2048) ? -EINVAL : 0;
return (p_len < 1536) ? -EINVAL : 0;
}
static int dh_set_params(struct dh_ctx *ctx, struct dh *params)
{
if (dh_check_params_length(params->p_size << 3))
return -EINVAL;
ctx->p = mpi_read_raw_data(params->p, params->p_size);
if (!ctx->p)
return -EINVAL;
ctx->g = mpi_read_raw_data(params->g, params->g_size);
if (!ctx->g)
return -EINVAL;
return 0;
}
static int dh_set_secret(struct crypto_kpp *tfm, const void *buf,
unsigned int len)
{
struct dh_ctx *ctx = dh_get_ctx(tfm);
struct dh params;
/* Free the old MPI key if any */
dh_clear_ctx(ctx);
if (crypto_dh_decode_key(buf, len, ¶ms) < 0)
goto err_clear_ctx;
if (dh_set_params(ctx, ¶ms) < 0)
goto err_clear_ctx;
ctx->xa = mpi_read_raw_data(params.key, params.key_size);
if (!ctx->xa)
goto err_clear_ctx;
return 0;
err_clear_ctx:
dh_clear_ctx(ctx);
return -EINVAL;
}
/*
* SP800-56A public key verification:
*
* * For the safe-prime groups in FIPS mode, Q can be computed
* trivially from P and a full validation according to SP800-56A
* section 5.6.2.3.1 is performed.
*
* * For all other sets of group parameters, only a partial validation
* according to SP800-56A section 5.6.2.3.2 is performed.
*/
static int dh_is_pubkey_valid(struct dh_ctx *ctx, MPI y)
{
if (unlikely(!ctx->p))
return -EINVAL;
/*
* Step 1: Verify that 2 <= y <= p - 2.
*
* The upper limit check is actually y < p instead of y < p - 1
* in order to save one mpi_sub_ui() invocation here. Note that
* p - 1 is the non-trivial element of the subgroup of order 2 and
* thus, the check on y^q below would fail if y == p - 1.
*/
if (mpi_cmp_ui(y, 1) < 1 || mpi_cmp(y, ctx->p) >= 0)
return -EINVAL;
/*
* Step 2: Verify that 1 = y^q mod p
*
* For the safe-prime groups q = (p - 1)/2.
*/
if (fips_enabled) {
MPI val, q;
int ret;
val = mpi_alloc(0);
if (!val)
return -ENOMEM;
q = mpi_alloc(mpi_get_nlimbs(ctx->p));
if (!q) {
mpi_free(val);
return -ENOMEM;
}
/*
* ->p is odd, so no need to explicitly subtract one
* from it before shifting to the right.
*/
mpi_rshift(q, ctx->p, 1);
ret = mpi_powm(val, y, q, ctx->p);
mpi_free(q);
if (ret) {
mpi_free(val);
return ret;
}
ret = mpi_cmp_ui(val, 1);
mpi_free(val);
if (ret != 0)
return -EINVAL;
}
return 0;
}
static int dh_compute_value(struct kpp_request *req)
{
struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
struct dh_ctx *ctx = dh_get_ctx(tfm);
MPI base, val = mpi_alloc(0);
int ret = 0;
int sign;
if (!val)
return -ENOMEM;
if (unlikely(!ctx->xa)) {
ret = -EINVAL;
goto err_free_val;
}
if (req->src) {
base = mpi_read_raw_from_sgl(req->src, req->src_len);
if (!base) {
ret = -EINVAL;
goto err_free_val;
}
ret = dh_is_pubkey_valid(ctx, base);
if (ret)
goto err_free_base;
} else {
base = ctx->g;
}
ret = _compute_val(ctx, base, val);
if (ret)
goto err_free_base;
if (fips_enabled) {
/* SP800-56A rev3 5.7.1.1 check: Validation of shared secret */
if (req->src) {
MPI pone;
/* z <= 1 */
if (mpi_cmp_ui(val, 1) < 1) {
ret = -EBADMSG;
goto err_free_base;
}
/* z == p - 1 */
pone = mpi_alloc(0);
if (!pone) {
ret = -ENOMEM;
goto err_free_base;
}
ret = mpi_sub_ui(pone, ctx->p, 1);
if (!ret && !mpi_cmp(pone, val))
ret = -EBADMSG;
mpi_free(pone);
if (ret)
goto err_free_base;
/* SP800-56A rev 3 5.6.2.1.3 key check */
} else {
if (dh_is_pubkey_valid(ctx, val)) {
ret = -EAGAIN;
goto err_free_val;
}
}
}
ret = mpi_write_to_sgl(val, req->dst, req->dst_len, &sign);
if (ret)
goto err_free_base;
if (sign < 0)
ret = -EBADMSG;
err_free_base:
if (req->src)
mpi_free(base);
err_free_val:
mpi_free(val);
return ret;
}
static unsigned int dh_max_size(struct crypto_kpp *tfm)
{
struct dh_ctx *ctx = dh_get_ctx(tfm);
return mpi_get_size(ctx->p);
}
static void dh_exit_tfm(struct crypto_kpp *tfm)
{
struct dh_ctx *ctx = dh_get_ctx(tfm);
dh_clear_ctx(ctx);
}
static struct kpp_alg dh = {
.set_secret = dh_set_secret,
.generate_public_key = dh_compute_value,
.compute_shared_secret = dh_compute_value,
.max_size = dh_max_size,
.exit = dh_exit_tfm,
.base = {
.cra_name = "dh",
.cra_driver_name = "dh-generic",
.cra_priority = 100,
.cra_module = THIS_MODULE,
.cra_ctxsize = sizeof(struct dh_ctx),
},
};
struct dh_safe_prime {
unsigned int max_strength;
unsigned int p_size;
const char *p;
};
static const char safe_prime_g[] = { 2 };
struct dh_safe_prime_instance_ctx {
struct crypto_kpp_spawn dh_spawn;
const struct dh_safe_prime *safe_prime;
};
struct dh_safe_prime_tfm_ctx {
struct crypto_kpp *dh_tfm;
};
static void dh_safe_prime_free_instance(struct kpp_instance *inst)
{
struct dh_safe_prime_instance_ctx *ctx = kpp_instance_ctx(inst);
crypto_drop_kpp(&ctx->dh_spawn);
kfree(inst);
}
static inline struct dh_safe_prime_instance_ctx *dh_safe_prime_instance_ctx(
struct crypto_kpp *tfm)
{
return kpp_instance_ctx(kpp_alg_instance(tfm));
}
static int dh_safe_prime_init_tfm(struct crypto_kpp *tfm)
{
struct dh_safe_prime_instance_ctx *inst_ctx =
dh_safe_prime_instance_ctx(tfm);
struct dh_safe_prime_tfm_ctx *tfm_ctx = kpp_tfm_ctx(tfm);
tfm_ctx->dh_tfm = crypto_spawn_kpp(&inst_ctx->dh_spawn);
if (IS_ERR(tfm_ctx->dh_tfm))
return PTR_ERR(tfm_ctx->dh_tfm);
kpp_set_reqsize(tfm, sizeof(struct kpp_request) +
crypto_kpp_reqsize(tfm_ctx->dh_tfm));
return 0;
}
static void dh_safe_prime_exit_tfm(struct crypto_kpp *tfm)
{
struct dh_safe_prime_tfm_ctx *tfm_ctx = kpp_tfm_ctx(tfm);
crypto_free_kpp(tfm_ctx->dh_tfm);
}
static u64 __add_u64_to_be(__be64 *dst, unsigned int n, u64 val)
{
unsigned int i;
for (i = n; val && i > 0; --i) {
u64 tmp = be64_to_cpu(dst[i - 1]);
tmp += val;
val = tmp >= val ? 0 : 1;
dst[i - 1] = cpu_to_be64(tmp);
}
return val;
}
static void *dh_safe_prime_gen_privkey(const struct dh_safe_prime *safe_prime,
unsigned int *key_size)
{
unsigned int n, oversampling_size;
__be64 *key;
int err;
u64 h, o;
/*
* Generate a private key following NIST SP800-56Ar3,
* sec. 5.6.1.1.1 and 5.6.1.1.3 resp..
*
* 5.6.1.1.1: choose key length N such that
* 2 * ->max_strength <= N <= log2(q) + 1 = ->p_size * 8 - 1
* with q = (p - 1) / 2 for the safe-prime groups.
* Choose the lower bound's next power of two for N in order to
* avoid excessively large private keys while still
* maintaining some extra reserve beyond the bare minimum in
* most cases. Note that for each entry in safe_prime_groups[],
* the following holds for such N:
* - N >= 256, in particular it is a multiple of 2^6 = 64
* bits and
* - N < log2(q) + 1, i.e. N respects the upper bound.
*/
n = roundup_pow_of_two(2 * safe_prime->max_strength);
WARN_ON_ONCE(n & ((1u << 6) - 1));
n >>= 6; /* Convert N into units of u64. */
/*
* Reserve one extra u64 to hold the extra random bits
* required as per 5.6.1.1.3.
*/
oversampling_size = (n + 1) * sizeof(__be64);
key = kmalloc(oversampling_size, GFP_KERNEL);
if (!key)
return ERR_PTR(-ENOMEM);
/*
* 5.6.1.1.3, step 3 (and implicitly step 4): obtain N + 64
* random bits and interpret them as a big endian integer.
*/
err = -EFAULT;
if (crypto_get_default_rng())
goto out_err;
err = crypto_rng_get_bytes(crypto_default_rng, (u8 *)key,
oversampling_size);
crypto_put_default_rng();
if (err)
goto out_err;
/*
* 5.6.1.1.3, step 5 is implicit: 2^N < q and thus,
* M = min(2^N, q) = 2^N.
*
* For step 6, calculate
* key = (key[] mod (M - 1)) + 1 = (key[] mod (2^N - 1)) + 1.
*
* In order to avoid expensive divisions, note that
* 2^N mod (2^N - 1) = 1 and thus, for any integer h,
* 2^N * h mod (2^N - 1) = h mod (2^N - 1) always holds.
* The big endian integer key[] composed of n + 1 64bit words
* may be written as key[] = h * 2^N + l, with h = key[0]
* representing the 64 most significant bits and l
* corresponding to the remaining 2^N bits. With the remark
* from above,
* h * 2^N + l mod (2^N - 1) = l + h mod (2^N - 1).
* As both, l and h are less than 2^N, their sum after
* this first reduction is guaranteed to be <= 2^(N + 1) - 2.
* Or equivalently, that their sum can again be written as
* h' * 2^N + l' with h' now either zero or one and if one,
* then l' <= 2^N - 2. Thus, all bits at positions >= N will
* be zero after a second reduction:
* h' * 2^N + l' mod (2^N - 1) = l' + h' mod (2^N - 1).
* At this point, it is still possible that
* l' + h' = 2^N - 1, i.e. that l' + h' mod (2^N - 1)
* is zero. This condition will be detected below by means of
* the final increment overflowing in this case.
*/
h = be64_to_cpu(key[0]);
h = __add_u64_to_be(key + 1, n, h);
h = __add_u64_to_be(key + 1, n, h);
WARN_ON_ONCE(h);
/* Increment to obtain the final result. */
o = __add_u64_to_be(key + 1, n, 1);
/*
* The overflow bit o from the increment is either zero or
* one. If zero, key[1:n] holds the final result in big-endian
* order. If one, key[1:n] is zero now, but needs to be set to
* one, c.f. above.
*/
if (o)
key[n] = cpu_to_be64(1);
/* n is in units of u64, convert to bytes. */
*key_size = n << 3;
/* Strip the leading extra __be64, which is (virtually) zero by now. */
memmove(key, &key[1], *key_size);
return key;
out_err:
kfree_sensitive(key);
return ERR_PTR(err);
}
static int dh_safe_prime_set_secret(struct crypto_kpp *tfm, const void *buffer,
unsigned int len)
{
struct dh_safe_prime_instance_ctx *inst_ctx =
dh_safe_prime_instance_ctx(tfm);
struct dh_safe_prime_tfm_ctx *tfm_ctx = kpp_tfm_ctx(tfm);
struct dh params = {};
void *buf = NULL, *key = NULL;
unsigned int buf_size;
int err;
if (buffer) {
err = __crypto_dh_decode_key(buffer, len, ¶ms);
if (err)
return err;
if (params.p_size || params.g_size)
return -EINVAL;
}
params.p = inst_ctx->safe_prime->p;
params.p_size = inst_ctx->safe_prime->p_size;
params.g = safe_prime_g;
params.g_size = sizeof(safe_prime_g);
if (!params.key_size) {
key = dh_safe_prime_gen_privkey(inst_ctx->safe_prime,
¶ms.key_size);
if (IS_ERR(key))
return PTR_ERR(key);
params.key = key;
}
buf_size = crypto_dh_key_len(¶ms);
buf = kmalloc(buf_size, GFP_KERNEL);
if (!buf) {
err = -ENOMEM;
goto out;
}
err = crypto_dh_encode_key(buf, buf_size, ¶ms);
if (err)
goto out;
err = crypto_kpp_set_secret(tfm_ctx->dh_tfm, buf, buf_size);
out:
kfree_sensitive(buf);
kfree_sensitive(key);
return err;
}
static void dh_safe_prime_complete_req(struct crypto_async_request *dh_req,
int err)
{
struct kpp_request *req = dh_req->data;
kpp_request_complete(req, err);
}
static struct kpp_request *dh_safe_prime_prepare_dh_req(struct kpp_request *req)
{
struct dh_safe_prime_tfm_ctx *tfm_ctx =
kpp_tfm_ctx(crypto_kpp_reqtfm(req));
struct kpp_request *dh_req = kpp_request_ctx(req);
kpp_request_set_tfm(dh_req, tfm_ctx->dh_tfm);
kpp_request_set_callback(dh_req, req->base.flags,
dh_safe_prime_complete_req, req);
kpp_request_set_input(dh_req, req->src, req->src_len);
kpp_request_set_output(dh_req, req->dst, req->dst_len);
return dh_req;
}
static int dh_safe_prime_generate_public_key(struct kpp_request *req)
{
struct kpp_request *dh_req = dh_safe_prime_prepare_dh_req(req);
return crypto_kpp_generate_public_key(dh_req);
}
static int dh_safe_prime_compute_shared_secret(struct kpp_request *req)
{
struct kpp_request *dh_req = dh_safe_prime_prepare_dh_req(req);
return crypto_kpp_compute_shared_secret(dh_req);
}
static unsigned int dh_safe_prime_max_size(struct crypto_kpp *tfm)
{
struct dh_safe_prime_tfm_ctx *tfm_ctx = kpp_tfm_ctx(tfm);
return crypto_kpp_maxsize(tfm_ctx->dh_tfm);
}
static int __maybe_unused __dh_safe_prime_create(
struct crypto_template *tmpl, struct rtattr **tb,
const struct dh_safe_prime *safe_prime)
{
struct kpp_instance *inst;
struct dh_safe_prime_instance_ctx *ctx;
const char *dh_name;
struct kpp_alg *dh_alg;
u32 mask;
int err;
err = crypto_check_attr_type(tb, CRYPTO_ALG_TYPE_KPP, &mask);
if (err)
return err;
dh_name = crypto_attr_alg_name(tb[1]);
if (IS_ERR(dh_name))
return PTR_ERR(dh_name);
inst = kzalloc(sizeof(*inst) + sizeof(*ctx), GFP_KERNEL);
if (!inst)
return -ENOMEM;
ctx = kpp_instance_ctx(inst);
err = crypto_grab_kpp(&ctx->dh_spawn, kpp_crypto_instance(inst),
dh_name, 0, mask);
if (err)
goto err_free_inst;
err = -EINVAL;
dh_alg = crypto_spawn_kpp_alg(&ctx->dh_spawn);
if (strcmp(dh_alg->base.cra_name, "dh"))
goto err_free_inst;
ctx->safe_prime = safe_prime;
err = crypto_inst_setname(kpp_crypto_instance(inst),
tmpl->name, &dh_alg->base);
if (err)
goto err_free_inst;
inst->alg.set_secret = dh_safe_prime_set_secret;
inst->alg.generate_public_key = dh_safe_prime_generate_public_key;
inst->alg.compute_shared_secret = dh_safe_prime_compute_shared_secret;
inst->alg.max_size = dh_safe_prime_max_size;
inst->alg.init = dh_safe_prime_init_tfm;
inst->alg.exit = dh_safe_prime_exit_tfm;
inst->alg.base.cra_priority = dh_alg->base.cra_priority;
inst->alg.base.cra_module = THIS_MODULE;
inst->alg.base.cra_ctxsize = sizeof(struct dh_safe_prime_tfm_ctx);
inst->free = dh_safe_prime_free_instance;
err = kpp_register_instance(tmpl, inst);
if (err)
goto err_free_inst;
return 0;
err_free_inst:
dh_safe_prime_free_instance(inst);
return err;
}
#ifdef CONFIG_CRYPTO_DH_RFC7919_GROUPS
static const struct dh_safe_prime ffdhe2048_prime = {
.max_strength = 112,
.p_size = 256,
.p =
"\xff\xff\xff\xff\xff\xff\xff\xff\xad\xf8\x54\x58\xa2\xbb\x4a\x9a"
"\xaf\xdc\x56\x20\x27\x3d\x3c\xf1\xd8\xb9\xc5\x83\xce\x2d\x36\x95"
"\xa9\xe1\x36\x41\x14\x64\x33\xfb\xcc\x93\x9d\xce\x24\x9b\x3e\xf9"
"\x7d\x2f\xe3\x63\x63\x0c\x75\xd8\xf6\x81\xb2\x02\xae\xc4\x61\x7a"
"\xd3\xdf\x1e\xd5\xd5\xfd\x65\x61\x24\x33\xf5\x1f\x5f\x06\x6e\xd0"
"\x85\x63\x65\x55\x3d\xed\x1a\xf3\xb5\x57\x13\x5e\x7f\x57\xc9\x35"
"\x98\x4f\x0c\x70\xe0\xe6\x8b\x77\xe2\xa6\x89\xda\xf3\xef\xe8\x72"
"\x1d\xf1\x58\xa1\x36\xad\xe7\x35\x30\xac\xca\x4f\x48\x3a\x79\x7a"
"\xbc\x0a\xb1\x82\xb3\x24\xfb\x61\xd1\x08\xa9\x4b\xb2\xc8\xe3\xfb"
"\xb9\x6a\xda\xb7\x60\xd7\xf4\x68\x1d\x4f\x42\xa3\xde\x39\x4d\xf4"
"\xae\x56\xed\xe7\x63\x72\xbb\x19\x0b\x07\xa7\xc8\xee\x0a\x6d\x70"
"\x9e\x02\xfc\xe1\xcd\xf7\xe2\xec\xc0\x34\x04\xcd\x28\x34\x2f\x61"
"\x91\x72\xfe\x9c\xe9\x85\x83\xff\x8e\x4f\x12\x32\xee\xf2\x81\x83"
"\xc3\xfe\x3b\x1b\x4c\x6f\xad\x73\x3b\xb5\xfc\xbc\x2e\xc2\x20\x05"
"\xc5\x8e\xf1\x83\x7d\x16\x83\xb2\xc6\xf3\x4a\x26\xc1\xb2\xef\xfa"
"\x88\x6b\x42\x38\x61\x28\x5c\x97\xff\xff\xff\xff\xff\xff\xff\xff",
};
static const struct dh_safe_prime ffdhe3072_prime = {
.max_strength = 128,
.p_size = 384,
.p =
"\xff\xff\xff\xff\xff\xff\xff\xff\xad\xf8\x54\x58\xa2\xbb\x4a\x9a"
"\xaf\xdc\x56\x20\x27\x3d\x3c\xf1\xd8\xb9\xc5\x83\xce\x2d\x36\x95"
"\xa9\xe1\x36\x41\x14\x64\x33\xfb\xcc\x93\x9d\xce\x24\x9b\x3e\xf9"
"\x7d\x2f\xe3\x63\x63\x0c\x75\xd8\xf6\x81\xb2\x02\xae\xc4\x61\x7a"
"\xd3\xdf\x1e\xd5\xd5\xfd\x65\x61\x24\x33\xf5\x1f\x5f\x06\x6e\xd0"
"\x85\x63\x65\x55\x3d\xed\x1a\xf3\xb5\x57\x13\x5e\x7f\x57\xc9\x35"
"\x98\x4f\x0c\x70\xe0\xe6\x8b\x77\xe2\xa6\x89\xda\xf3\xef\xe8\x72"
"\x1d\xf1\x58\xa1\x36\xad\xe7\x35\x30\xac\xca\x4f\x48\x3a\x79\x7a"
"\xbc\x0a\xb1\x82\xb3\x24\xfb\x61\xd1\x08\xa9\x4b\xb2\xc8\xe3\xfb"
"\xb9\x6a\xda\xb7\x60\xd7\xf4\x68\x1d\x4f\x42\xa3\xde\x39\x4d\xf4"
"\xae\x56\xed\xe7\x63\x72\xbb\x19\x0b\x07\xa7\xc8\xee\x0a\x6d\x70"
"\x9e\x02\xfc\xe1\xcd\xf7\xe2\xec\xc0\x34\x04\xcd\x28\x34\x2f\x61"
"\x91\x72\xfe\x9c\xe9\x85\x83\xff\x8e\x4f\x12\x32\xee\xf2\x81\x83"
"\xc3\xfe\x3b\x1b\x4c\x6f\xad\x73\x3b\xb5\xfc\xbc\x2e\xc2\x20\x05"
"\xc5\x8e\xf1\x83\x7d\x16\x83\xb2\xc6\xf3\x4a\x26\xc1\xb2\xef\xfa"
"\x88\x6b\x42\x38\x61\x1f\xcf\xdc\xde\x35\x5b\x3b\x65\x19\x03\x5b"
"\xbc\x34\xf4\xde\xf9\x9c\x02\x38\x61\xb4\x6f\xc9\xd6\xe6\xc9\x07"
"\x7a\xd9\x1d\x26\x91\xf7\xf7\xee\x59\x8c\xb0\xfa\xc1\x86\xd9\x1c"
"\xae\xfe\x13\x09\x85\x13\x92\x70\xb4\x13\x0c\x93\xbc\x43\x79\x44"
"\xf4\xfd\x44\x52\xe2\xd7\x4d\xd3\x64\xf2\xe2\x1e\x71\xf5\x4b\xff"
"\x5c\xae\x82\xab\x9c\x9d\xf6\x9e\xe8\x6d\x2b\xc5\x22\x36\x3a\x0d"
"\xab\xc5\x21\x97\x9b\x0d\xea\xda\x1d\xbf\x9a\x42\xd5\xc4\x48\x4e"
"\x0a\xbc\xd0\x6b\xfa\x53\xdd\xef\x3c\x1b\x20\xee\x3f\xd5\x9d\x7c"
"\x25\xe4\x1d\x2b\x66\xc6\x2e\x37\xff\xff\xff\xff\xff\xff\xff\xff",
};
static const struct dh_safe_prime ffdhe4096_prime = {
.max_strength = 152,
.p_size = 512,
.p =
"\xff\xff\xff\xff\xff\xff\xff\xff\xad\xf8\x54\x58\xa2\xbb\x4a\x9a"
"\xaf\xdc\x56\x20\x27\x3d\x3c\xf1\xd8\xb9\xc5\x83\xce\x2d\x36\x95"
"\xa9\xe1\x36\x41\x14\x64\x33\xfb\xcc\x93\x9d\xce\x24\x9b\x3e\xf9"
"\x7d\x2f\xe3\x63\x63\x0c\x75\xd8\xf6\x81\xb2\x02\xae\xc4\x61\x7a"
"\xd3\xdf\x1e\xd5\xd5\xfd\x65\x61\x24\x33\xf5\x1f\x5f\x06\x6e\xd0"
"\x85\x63\x65\x55\x3d\xed\x1a\xf3\xb5\x57\x13\x5e\x7f\x57\xc9\x35"
"\x98\x4f\x0c\x70\xe0\xe6\x8b\x77\xe2\xa6\x89\xda\xf3\xef\xe8\x72"
"\x1d\xf1\x58\xa1\x36\xad\xe7\x35\x30\xac\xca\x4f\x48\x3a\x79\x7a"
"\xbc\x0a\xb1\x82\xb3\x24\xfb\x61\xd1\x08\xa9\x4b\xb2\xc8\xe3\xfb"
"\xb9\x6a\xda\xb7\x60\xd7\xf4\x68\x1d\x4f\x42\xa3\xde\x39\x4d\xf4"
"\xae\x56\xed\xe7\x63\x72\xbb\x19\x0b\x07\xa7\xc8\xee\x0a\x6d\x70"
"\x9e\x02\xfc\xe1\xcd\xf7\xe2\xec\xc0\x34\x04\xcd\x28\x34\x2f\x61"
"\x91\x72\xfe\x9c\xe9\x85\x83\xff\x8e\x4f\x12\x32\xee\xf2\x81\x83"
"\xc3\xfe\x3b\x1b\x4c\x6f\xad\x73\x3b\xb5\xfc\xbc\x2e\xc2\x20\x05"
"\xc5\x8e\xf1\x83\x7d\x16\x83\xb2\xc6\xf3\x4a\x26\xc1\xb2\xef\xfa"
"\x88\x6b\x42\x38\x61\x1f\xcf\xdc\xde\x35\x5b\x3b\x65\x19\x03\x5b"
"\xbc\x34\xf4\xde\xf9\x9c\x02\x38\x61\xb4\x6f\xc9\xd6\xe6\xc9\x07"
"\x7a\xd9\x1d\x26\x91\xf7\xf7\xee\x59\x8c\xb0\xfa\xc1\x86\xd9\x1c"
"\xae\xfe\x13\x09\x85\x13\x92\x70\xb4\x13\x0c\x93\xbc\x43\x79\x44"
"\xf4\xfd\x44\x52\xe2\xd7\x4d\xd3\x64\xf2\xe2\x1e\x71\xf5\x4b\xff"
"\x5c\xae\x82\xab\x9c\x9d\xf6\x9e\xe8\x6d\x2b\xc5\x22\x36\x3a\x0d"
"\xab\xc5\x21\x97\x9b\x0d\xea\xda\x1d\xbf\x9a\x42\xd5\xc4\x48\x4e"
"\x0a\xbc\xd0\x6b\xfa\x53\xdd\xef\x3c\x1b\x20\xee\x3f\xd5\x9d\x7c"
"\x25\xe4\x1d\x2b\x66\x9e\x1e\xf1\x6e\x6f\x52\xc3\x16\x4d\xf4\xfb"
"\x79\x30\xe9\xe4\xe5\x88\x57\xb6\xac\x7d\x5f\x42\xd6\x9f\x6d\x18"
"\x77\x63\xcf\x1d\x55\x03\x40\x04\x87\xf5\x5b\xa5\x7e\x31\xcc\x7a"
"\x71\x35\xc8\x86\xef\xb4\x31\x8a\xed\x6a\x1e\x01\x2d\x9e\x68\x32"
"\xa9\x07\x60\x0a\x91\x81\x30\xc4\x6d\xc7\x78\xf9\x71\xad\x00\x38"
"\x09\x29\x99\xa3\x33\xcb\x8b\x7a\x1a\x1d\xb9\x3d\x71\x40\x00\x3c"
"\x2a\x4e\xce\xa9\xf9\x8d\x0a\xcc\x0a\x82\x91\xcd\xce\xc9\x7d\xcf"
"\x8e\xc9\xb5\x5a\x7f\x88\xa4\x6b\x4d\xb5\xa8\x51\xf4\x41\x82\xe1"
"\xc6\x8a\x00\x7e\x5e\x65\x5f\x6a\xff\xff\xff\xff\xff\xff\xff\xff",
};
static const struct dh_safe_prime ffdhe6144_prime = {
.max_strength = 176,
.p_size = 768,
.p =
"\xff\xff\xff\xff\xff\xff\xff\xff\xad\xf8\x54\x58\xa2\xbb\x4a\x9a"
"\xaf\xdc\x56\x20\x27\x3d\x3c\xf1\xd8\xb9\xc5\x83\xce\x2d\x36\x95"
"\xa9\xe1\x36\x41\x14\x64\x33\xfb\xcc\x93\x9d\xce\x24\x9b\x3e\xf9"
"\x7d\x2f\xe3\x63\x63\x0c\x75\xd8\xf6\x81\xb2\x02\xae\xc4\x61\x7a"
"\xd3\xdf\x1e\xd5\xd5\xfd\x65\x61\x24\x33\xf5\x1f\x5f\x06\x6e\xd0"
"\x85\x63\x65\x55\x3d\xed\x1a\xf3\xb5\x57\x13\x5e\x7f\x57\xc9\x35"
"\x98\x4f\x0c\x70\xe0\xe6\x8b\x77\xe2\xa6\x89\xda\xf3\xef\xe8\x72"
"\x1d\xf1\x58\xa1\x36\xad\xe7\x35\x30\xac\xca\x4f\x48\x3a\x79\x7a"
"\xbc\x0a\xb1\x82\xb3\x24\xfb\x61\xd1\x08\xa9\x4b\xb2\xc8\xe3\xfb"
"\xb9\x6a\xda\xb7\x60\xd7\xf4\x68\x1d\x4f\x42\xa3\xde\x39\x4d\xf4"
"\xae\x56\xed\xe7\x63\x72\xbb\x19\x0b\x07\xa7\xc8\xee\x0a\x6d\x70"
"\x9e\x02\xfc\xe1\xcd\xf7\xe2\xec\xc0\x34\x04\xcd\x28\x34\x2f\x61"
"\x91\x72\xfe\x9c\xe9\x85\x83\xff\x8e\x4f\x12\x32\xee\xf2\x81\x83"
"\xc3\xfe\x3b\x1b\x4c\x6f\xad\x73\x3b\xb5\xfc\xbc\x2e\xc2\x20\x05"
"\xc5\x8e\xf1\x83\x7d\x16\x83\xb2\xc6\xf3\x4a\x26\xc1\xb2\xef\xfa"
"\x88\x6b\x42\x38\x61\x1f\xcf\xdc\xde\x35\x5b\x3b\x65\x19\x03\x5b"
"\xbc\x34\xf4\xde\xf9\x9c\x02\x38\x61\xb4\x6f\xc9\xd6\xe6\xc9\x07"
"\x7a\xd9\x1d\x26\x91\xf7\xf7\xee\x59\x8c\xb0\xfa\xc1\x86\xd9\x1c"
"\xae\xfe\x13\x09\x85\x13\x92\x70\xb4\x13\x0c\x93\xbc\x43\x79\x44"
"\xf4\xfd\x44\x52\xe2\xd7\x4d\xd3\x64\xf2\xe2\x1e\x71\xf5\x4b\xff"
"\x5c\xae\x82\xab\x9c\x9d\xf6\x9e\xe8\x6d\x2b\xc5\x22\x36\x3a\x0d"
"\xab\xc5\x21\x97\x9b\x0d\xea\xda\x1d\xbf\x9a\x42\xd5\xc4\x48\x4e"
"\x0a\xbc\xd0\x6b\xfa\x53\xdd\xef\x3c\x1b\x20\xee\x3f\xd5\x9d\x7c"
"\x25\xe4\x1d\x2b\x66\x9e\x1e\xf1\x6e\x6f\x52\xc3\x16\x4d\xf4\xfb"
"\x79\x30\xe9\xe4\xe5\x88\x57\xb6\xac\x7d\x5f\x42\xd6\x9f\x6d\x18"
"\x77\x63\xcf\x1d\x55\x03\x40\x04\x87\xf5\x5b\xa5\x7e\x31\xcc\x7a"
"\x71\x35\xc8\x86\xef\xb4\x31\x8a\xed\x6a\x1e\x01\x2d\x9e\x68\x32"
"\xa9\x07\x60\x0a\x91\x81\x30\xc4\x6d\xc7\x78\xf9\x71\xad\x00\x38"
"\x09\x29\x99\xa3\x33\xcb\x8b\x7a\x1a\x1d\xb9\x3d\x71\x40\x00\x3c"
"\x2a\x4e\xce\xa9\xf9\x8d\x0a\xcc\x0a\x82\x91\xcd\xce\xc9\x7d\xcf"
"\x8e\xc9\xb5\x5a\x7f\x88\xa4\x6b\x4d\xb5\xa8\x51\xf4\x41\x82\xe1"
"\xc6\x8a\x00\x7e\x5e\x0d\xd9\x02\x0b\xfd\x64\xb6\x45\x03\x6c\x7a"
"\x4e\x67\x7d\x2c\x38\x53\x2a\x3a\x23\xba\x44\x42\xca\xf5\x3e\xa6"
"\x3b\xb4\x54\x32\x9b\x76\x24\xc8\x91\x7b\xdd\x64\xb1\xc0\xfd\x4c"
"\xb3\x8e\x8c\x33\x4c\x70\x1c\x3a\xcd\xad\x06\x57\xfc\xcf\xec\x71"
"\x9b\x1f\x5c\x3e\x4e\x46\x04\x1f\x38\x81\x47\xfb\x4c\xfd\xb4\x77"
"\xa5\x24\x71\xf7\xa9\xa9\x69\x10\xb8\x55\x32\x2e\xdb\x63\x40\xd8"
"\xa0\x0e\xf0\x92\x35\x05\x11\xe3\x0a\xbe\xc1\xff\xf9\xe3\xa2\x6e"
"\x7f\xb2\x9f\x8c\x18\x30\x23\xc3\x58\x7e\x38\xda\x00\x77\xd9\xb4"
"\x76\x3e\x4e\x4b\x94\xb2\xbb\xc1\x94\xc6\x65\x1e\x77\xca\xf9\x92"
"\xee\xaa\xc0\x23\x2a\x28\x1b\xf6\xb3\xa7\x39\xc1\x22\x61\x16\x82"
"\x0a\xe8\xdb\x58\x47\xa6\x7c\xbe\xf9\xc9\x09\x1b\x46\x2d\x53\x8c"
"\xd7\x2b\x03\x74\x6a\xe7\x7f\x5e\x62\x29\x2c\x31\x15\x62\xa8\x46"
"\x50\x5d\xc8\x2d\xb8\x54\x33\x8a\xe4\x9f\x52\x35\xc9\x5b\x91\x17"
"\x8c\xcf\x2d\xd5\xca\xce\xf4\x03\xec\x9d\x18\x10\xc6\x27\x2b\x04"
"\x5b\x3b\x71\xf9\xdc\x6b\x80\xd6\x3f\xdd\x4a\x8e\x9a\xdb\x1e\x69"
"\x62\xa6\x95\x26\xd4\x31\x61\xc1\xa4\x1d\x57\x0d\x79\x38\xda\xd4"
"\xa4\x0e\x32\x9c\xd0\xe4\x0e\x65\xff\xff\xff\xff\xff\xff\xff\xff",
};
static const struct dh_safe_prime ffdhe8192_prime = {
.max_strength = 200,
.p_size = 1024,
.p =
"\xff\xff\xff\xff\xff\xff\xff\xff\xad\xf8\x54\x58\xa2\xbb\x4a\x9a"
"\xaf\xdc\x56\x20\x27\x3d\x3c\xf1\xd8\xb9\xc5\x83\xce\x2d\x36\x95"
"\xa9\xe1\x36\x41\x14\x64\x33\xfb\xcc\x93\x9d\xce\x24\x9b\x3e\xf9"
"\x7d\x2f\xe3\x63\x63\x0c\x75\xd8\xf6\x81\xb2\x02\xae\xc4\x61\x7a"
"\xd3\xdf\x1e\xd5\xd5\xfd\x65\x61\x24\x33\xf5\x1f\x5f\x06\x6e\xd0"
"\x85\x63\x65\x55\x3d\xed\x1a\xf3\xb5\x57\x13\x5e\x7f\x57\xc9\x35"
"\x98\x4f\x0c\x70\xe0\xe6\x8b\x77\xe2\xa6\x89\xda\xf3\xef\xe8\x72"
"\x1d\xf1\x58\xa1\x36\xad\xe7\x35\x30\xac\xca\x4f\x48\x3a\x79\x7a"
"\xbc\x0a\xb1\x82\xb3\x24\xfb\x61\xd1\x08\xa9\x4b\xb2\xc8\xe3\xfb"
"\xb9\x6a\xda\xb7\x60\xd7\xf4\x68\x1d\x4f\x42\xa3\xde\x39\x4d\xf4"
"\xae\x56\xed\xe7\x63\x72\xbb\x19\x0b\x07\xa7\xc8\xee\x0a\x6d\x70"
"\x9e\x02\xfc\xe1\xcd\xf7\xe2\xec\xc0\x34\x04\xcd\x28\x34\x2f\x61"
"\x91\x72\xfe\x9c\xe9\x85\x83\xff\x8e\x4f\x12\x32\xee\xf2\x81\x83"
"\xc3\xfe\x3b\x1b\x4c\x6f\xad\x73\x3b\xb5\xfc\xbc\x2e\xc2\x20\x05"
"\xc5\x8e\xf1\x83\x7d\x16\x83\xb2\xc6\xf3\x4a\x26\xc1\xb2\xef\xfa"
"\x88\x6b\x42\x38\x61\x1f\xcf\xdc\xde\x35\x5b\x3b\x65\x19\x03\x5b"
"\xbc\x34\xf4\xde\xf9\x9c\x02\x38\x61\xb4\x6f\xc9\xd6\xe6\xc9\x07"
"\x7a\xd9\x1d\x26\x91\xf7\xf7\xee\x59\x8c\xb0\xfa\xc1\x86\xd9\x1c"
"\xae\xfe\x13\x09\x85\x13\x92\x70\xb4\x13\x0c\x93\xbc\x43\x79\x44"
"\xf4\xfd\x44\x52\xe2\xd7\x4d\xd3\x64\xf2\xe2\x1e\x71\xf5\x4b\xff"
"\x5c\xae\x82\xab\x9c\x9d\xf6\x9e\xe8\x6d\x2b\xc5\x22\x36\x3a\x0d"
"\xab\xc5\x21\x97\x9b\x0d\xea\xda\x1d\xbf\x9a\x42\xd5\xc4\x48\x4e"
"\x0a\xbc\xd0\x6b\xfa\x53\xdd\xef\x3c\x1b\x20\xee\x3f\xd5\x9d\x7c"
"\x25\xe4\x1d\x2b\x66\x9e\x1e\xf1\x6e\x6f\x52\xc3\x16\x4d\xf4\xfb"
"\x79\x30\xe9\xe4\xe5\x88\x57\xb6\xac\x7d\x5f\x42\xd6\x9f\x6d\x18"
"\x77\x63\xcf\x1d\x55\x03\x40\x04\x87\xf5\x5b\xa5\x7e\x31\xcc\x7a"
"\x71\x35\xc8\x86\xef\xb4\x31\x8a\xed\x6a\x1e\x01\x2d\x9e\x68\x32"
"\xa9\x07\x60\x0a\x91\x81\x30\xc4\x6d\xc7\x78\xf9\x71\xad\x00\x38"
"\x09\x29\x99\xa3\x33\xcb\x8b\x7a\x1a\x1d\xb9\x3d\x71\x40\x00\x3c"
"\x2a\x4e\xce\xa9\xf9\x8d\x0a\xcc\x0a\x82\x91\xcd\xce\xc9\x7d\xcf"
"\x8e\xc9\xb5\x5a\x7f\x88\xa4\x6b\x4d\xb5\xa8\x51\xf4\x41\x82\xe1"
"\xc6\x8a\x00\x7e\x5e\x0d\xd9\x02\x0b\xfd\x64\xb6\x45\x03\x6c\x7a"
"\x4e\x67\x7d\x2c\x38\x53\x2a\x3a\x23\xba\x44\x42\xca\xf5\x3e\xa6"
"\x3b\xb4\x54\x32\x9b\x76\x24\xc8\x91\x7b\xdd\x64\xb1\xc0\xfd\x4c"
"\xb3\x8e\x8c\x33\x4c\x70\x1c\x3a\xcd\xad\x06\x57\xfc\xcf\xec\x71"
"\x9b\x1f\x5c\x3e\x4e\x46\x04\x1f\x38\x81\x47\xfb\x4c\xfd\xb4\x77"
"\xa5\x24\x71\xf7\xa9\xa9\x69\x10\xb8\x55\x32\x2e\xdb\x63\x40\xd8"
"\xa0\x0e\xf0\x92\x35\x05\x11\xe3\x0a\xbe\xc1\xff\xf9\xe3\xa2\x6e"
"\x7f\xb2\x9f\x8c\x18\x30\x23\xc3\x58\x7e\x38\xda\x00\x77\xd9\xb4"
"\x76\x3e\x4e\x4b\x94\xb2\xbb\xc1\x94\xc6\x65\x1e\x77\xca\xf9\x92"
"\xee\xaa\xc0\x23\x2a\x28\x1b\xf6\xb3\xa7\x39\xc1\x22\x61\x16\x82"
"\x0a\xe8\xdb\x58\x47\xa6\x7c\xbe\xf9\xc9\x09\x1b\x46\x2d\x53\x8c"
"\xd7\x2b\x03\x74\x6a\xe7\x7f\x5e\x62\x29\x2c\x31\x15\x62\xa8\x46"
"\x50\x5d\xc8\x2d\xb8\x54\x33\x8a\xe4\x9f\x52\x35\xc9\x5b\x91\x17"
"\x8c\xcf\x2d\xd5\xca\xce\xf4\x03\xec\x9d\x18\x10\xc6\x27\x2b\x04"
"\x5b\x3b\x71\xf9\xdc\x6b\x80\xd6\x3f\xdd\x4a\x8e\x9a\xdb\x1e\x69"
"\x62\xa6\x95\x26\xd4\x31\x61\xc1\xa4\x1d\x57\x0d\x79\x38\xda\xd4"
"\xa4\x0e\x32\x9c\xcf\xf4\x6a\xaa\x36\xad\x00\x4c\xf6\x00\xc8\x38"
"\x1e\x42\x5a\x31\xd9\x51\xae\x64\xfd\xb2\x3f\xce\xc9\x50\x9d\x43"
"\x68\x7f\xeb\x69\xed\xd1\xcc\x5e\x0b\x8c\xc3\xbd\xf6\x4b\x10\xef"
"\x86\xb6\x31\x42\xa3\xab\x88\x29\x55\x5b\x2f\x74\x7c\x93\x26\x65"
"\xcb\x2c\x0f\x1c\xc0\x1b\xd7\x02\x29\x38\x88\x39\xd2\xaf\x05\xe4"
"\x54\x50\x4a\xc7\x8b\x75\x82\x82\x28\x46\xc0\xba\x35\xc3\x5f\x5c"
"\x59\x16\x0c\xc0\x46\xfd\x82\x51\x54\x1f\xc6\x8c\x9c\x86\xb0\x22"
"\xbb\x70\x99\x87\x6a\x46\x0e\x74\x51\xa8\xa9\x31\x09\x70\x3f\xee"
"\x1c\x21\x7e\x6c\x38\x26\xe5\x2c\x51\xaa\x69\x1e\x0e\x42\x3c\xfc"
"\x99\xe9\xe3\x16\x50\xc1\x21\x7b\x62\x48\x16\xcd\xad\x9a\x95\xf9"
"\xd5\xb8\x01\x94\x88\xd9\xc0\xa0\xa1\xfe\x30\x75\xa5\x77\xe2\x31"
"\x83\xf8\x1d\x4a\x3f\x2f\xa4\x57\x1e\xfc\x8c\xe0\xba\x8a\x4f\xe8"
"\xb6\x85\x5d\xfe\x72\xb0\xa6\x6e\xde\xd2\xfb\xab\xfb\xe5\x8a\x30"
"\xfa\xfa\xbe\x1c\x5d\x71\xa8\x7e\x2f\x74\x1e\xf8\xc1\xfe\x86\xfe"
"\xa6\xbb\xfd\xe5\x30\x67\x7f\x0d\x97\xd1\x1d\x49\xf7\xa8\x44\x3d"
"\x08\x22\xe5\x06\xa9\xf4\x61\x4e\x01\x1e\x2a\x94\x83\x8f\xf8\x8c"
"\xd6\x8c\x8b\xb7\xc5\xc6\x42\x4c\xff\xff\xff\xff\xff\xff\xff\xff",
};
static int dh_ffdhe2048_create(struct crypto_template *tmpl,
struct rtattr **tb)
{
return __dh_safe_prime_create(tmpl, tb, &ffdhe2048_prime);
}
static int dh_ffdhe3072_create(struct crypto_template *tmpl,
struct rtattr **tb)
{
return __dh_safe_prime_create(tmpl, tb, &ffdhe3072_prime);
}
static int dh_ffdhe4096_create(struct crypto_template *tmpl,
struct rtattr **tb)
{
return __dh_safe_prime_create(tmpl, tb, &ffdhe4096_prime);
}
static int dh_ffdhe6144_create(struct crypto_template *tmpl,
struct rtattr **tb)
{
return __dh_safe_prime_create(tmpl, tb, &ffdhe6144_prime);
}
static int dh_ffdhe8192_create(struct crypto_template *tmpl,
struct rtattr **tb)
{
return __dh_safe_prime_create(tmpl, tb, &ffdhe8192_prime);
}
static struct crypto_template crypto_ffdhe_templates[] = {
{
.name = "ffdhe2048",
.create = dh_ffdhe2048_create,
.module = THIS_MODULE,
},
{
.name = "ffdhe3072",
.create = dh_ffdhe3072_create,
.module = THIS_MODULE,
},
{
.name = "ffdhe4096",
.create = dh_ffdhe4096_create,
.module = THIS_MODULE,
},
{
.name = "ffdhe6144",
.create = dh_ffdhe6144_create,
.module = THIS_MODULE,
},
{
.name = "ffdhe8192",
.create = dh_ffdhe8192_create,
.module = THIS_MODULE,
},
};
#else /* ! CONFIG_CRYPTO_DH_RFC7919_GROUPS */
static struct crypto_template crypto_ffdhe_templates[] = {};
#endif /* CONFIG_CRYPTO_DH_RFC7919_GROUPS */
static int __init dh_init(void)
{
int err;
err = crypto_register_kpp(&dh);
if (err)
return err;
err = crypto_register_templates(crypto_ffdhe_templates,
ARRAY_SIZE(crypto_ffdhe_templates));
if (err) {
crypto_unregister_kpp(&dh);
return err;
}
return 0;
}
static void __exit dh_exit(void)
{
crypto_unregister_templates(crypto_ffdhe_templates,
ARRAY_SIZE(crypto_ffdhe_templates));
crypto_unregister_kpp(&dh);
}
subsys_initcall(dh_init);
module_exit(dh_exit);
MODULE_ALIAS_CRYPTO("dh");
MODULE_LICENSE("GPL");
MODULE_DESCRIPTION("DH generic algorithm");