EVP_PKEY-DH(7ossl)

๐Ÿ“ฆ version 14.5, in freebsd 14.5

๐Ÿ’… EVP_PKEY-DH โ€” the 7ossl manual, bestie edition ๐Ÿ”ฅ

okay so this is the EVP_PKEY-DH(7ossl) page, and honestly? it's giving "the DH lore you actually need" โœจ


โœจ NAME โœจ

EVP_PKEY-DH, EVP_PKEY-DHX, EVP_KEYMGMT-DH, EVP_KEYMGMT-DHX โ€” the whole squad that handles EVP_PKEY DH and DHX keytype and algorithm support. iconic, no notes ๐Ÿ’…


๐ŸŒธ DESCRIPTION ๐ŸŒธ

so for finite field Diffie-Hellman key agreement, there are exactly two classes of domain parameters you can roll with, and they are not the same vibe:

  • the "safe" domain parameters that are associated with approved named safe-prime groups โ€” these are the main character energy ones, the good ones, the ones you want ๐Ÿ’–
  • the class of "FIPS186-type" domain parameters โ€” and ngl, these should only be used for backward compatibility with existing applications that cannot be upgraded to use the approved safe-prime groups. like, legacy support only, fr fr.

if you want more tea about FFC keys in general, go read EVP_PKEY-FFC(7) ๐Ÿซถ

right so the DH key type uses PKCS#3 format which saves p and g, but not the q value. meanwhile the DHX key type uses X9.42 format which does save the value of q, and this one must be used for FIPS186-4. and if key validation is required, users should be aware of the nuances associated with FIPS186-4 style parameters โ€” those are discussed down in [DH and DHX key validation](#dh-and-dhx-key-validation) ๐Ÿ‘€


๐Ÿฆ‹ DH and DHX domain parameters ๐Ÿฆ‹

so besides the common FFC parameters that all FFC keytypes should support (peep "FFC parameters" in EVP_PKEY-FFC(7)), the DHX and DH keytype implementations also support these:

  • "group" (OSSL_PKEY_PARAM_GROUP_NAME) <UTF8 string> โ€” sets or gets a string that associates a DH or DHX named safe prime group with known values for p, q and g.

The following values can be used by the OpenSSL's default and FIPS providers: "ffdhe2048", "ffdhe3072", "ffdhe4096", "ffdhe6144", "ffdhe8192", "modp_2048", "modp_3072", "modp_4096", "modp_6144", "modp_8192".

The following additional values can also be used by OpenSSL's default provider: "modp_1536", "dh_1024_160", "dh_2048_224", "dh_2048_256".

DH/DHX named groups can be easily validated since the parameters are well known โ€” love that for us ๐Ÿ’…. and for protocols that only transfer p and g, the value of q can also be retrieved. slay.


๐ŸŽ€ DH and DHX additional parameters ๐ŸŽ€

  • "encoded-pub-key" (OSSL_PKEY_PARAM_ENCODED_PUBLIC_KEY) <octet string> โ€” used for getting and setting the encoding of the DH public key used in a key exchange message for the TLS protocol. see EVP_PKEY_set1_encoded_public_key() and EVP_PKEY_get1_encoded_public_key() ๐Ÿซถ

๐Ÿ’œ DH additional domain parameters ๐Ÿ’œ

  • "safeprime-generator" (OSSL_PKEY_PARAM_DH_GENERATOR) <integer> โ€” used for DH generation of safe primes using the old safe prime generator code. the default value is 2. it is recommended to use a named safe prime group instead, if domain parameter validation is required.
๐Ÿšจ randomly generated safe primes are not allowed by FIPS, so setting this value for the OpenSSL FIPS provider will instead choose a named safe prime group based on the size of p. periodt.

๐ŸŒˆ DH and DHX domain parameter / key generation parameters ๐ŸŒˆ

on top of the common FFC key generation parameters that all FFC key types should support (see "FFC key generation parameters" in EVP_PKEY-FFC(7)), the DH and DHX keytype implementation also supports these:

  • "type" (OSSL_PKEY_PARAM_FFC_TYPE) <UTF8 string> โ€” sets the type of parameter generation. for DH, the valid values are:
    • "fips186_4"
    • "default"
    • "fips186_2"

these three are described in "FFC key generation parameters" in EVP_PKEY-FFC(7) ๐Ÿ‘‘

  • "group" โ€” this specifies that a named safe prime name will be chosen using the "pbits" type.
  • "generator" โ€” a safe prime generator. see the "safeprime-generator" type above. this is only valid for DH keys.
  • "pbits" (OSSL_PKEY_PARAM_FFC_PBITS) <unsigned integer> โ€” sets the size (in bits) of the prime 'p'.

For "fips186_4" this must be 2048. For "fips186_2" this must be 1024. For "group" this can be any one of 2048, 3072, 4096, 6144 or 8192.

  • "priv_len" (OSSL_PKEY_PARAM_DH_PRIV_LEN) <integer> โ€” an optional value to set the maximum length of the generated private key. the default value used if this is not set is the maximum value of BN_num_bits(q). the minimum value that this can be set to is 2 * s. where s is the security strength of the key which has values of 112, 128, 152, 176 and 200 for key sizes of 2048, 3072, 4096, 6144 and 8192. math girlie hours ๐Ÿงฎโœจ

๐Ÿ”ฅ DH and DHX key validation ๐Ÿ”ฅ

okay this part is important, listen up ๐Ÿซถ

for keys that are not a named group, the FIPS186-4 standard specifies that the values used for FFC parameter generation are also required for parameter validation. that means optional FFC domain parameter values for seed, pcounter and gindex or hindex may need to be stored for validation purposes. for DHX the seed and pcounter can be stored in ASN1 data (but the gindex or hindex cannot be stored ๐Ÿ˜ญ). it is recommended to use a DH parameters with named safe prime group instead.

with the OpenSSL FIPS provider, EVP_PKEY_param_check(3) and EVP_PKEY_param_check_quick(3) behave like this: the parameters are tested if they are either an approved safe prime group OR that the FFC parameters conform to FIPS186-4 as defined in SP800-56Ar3 Assurances of Domain-Parameter Validity ๐Ÿ‘‘

the OpenSSL default provider uses simpler checks that allows there to be no q value for backwards compatibility, however the EVP_PKEY_param_check(3) will test the p value for being a prime (and a safe prime if q is missing) which can take significant time ๐Ÿ˜ด. the EVP_PKEY_param_check_quick(3) avoids the prime tests โ€” bless.

EVP_PKEY_public_check(3) conforms to SP800-56Ar3 FFC Full Public-Key Validation.

EVP_PKEY_public_check_quick(3) conforms to SP800-56Ar3 FFC Partial Public-Key Validation when the key is an approved named safe prime group, otherwise it is the same as EVP_PKEY_public_check(3).

EVP_PKEY_private_check(3) tests that the private key is in the correct range according to SP800-56Ar3. the OpenSSL FIPS provider requires the value of q to be set (note that this is implicitly set for named safe prime groups). for backwards compatibility the OpenSSL default provider only requires p to be set ๐Ÿซถ

EVP_PKEY_pairwise_check(3) conforms to SP800-56Ar3 Owner Assurance of Pair-wise Consistency. cute.


๐Ÿงš EXAMPLES ๐Ÿงš

an EVP_PKEY context can be obtained by calling:

EVP_PKEY_CTX *pctx = EVP_PKEY_CTX_new_from_name(NULL, "DH", NULL);

a DH key can be generated with a named safe prime group by calling:

int priv_len = 2 * 112;
OSSL_PARAM params[3];
EVP_PKEY *pkey = NULL;
EVP_PKEY_CTX *pctx = EVP_PKEY_CTX_new_from_name(NULL, "DH", NULL);

params[0] = OSSL_PARAM_construct_utf8_string("group", "ffdhe2048", 0);
/* "priv_len" is optional */
params[1] = OSSL_PARAM_construct_int("priv_len", &priv_len);
params[2] = OSSL_PARAM_construct_end();

EVP_PKEY_keygen_init(pctx);
EVP_PKEY_CTX_set_params(pctx, params);
EVP_PKEY_generate(pctx, &pkey);
...
EVP_PKEY_free(pkey);
EVP_PKEY_CTX_free(pctx);

DHX domain parameters can be generated according to FIPS186-4 by calling:

int gindex = 2;
unsigned int pbits = 2048;
unsigned int qbits = 256;
OSSL_PARAM params[6];
EVP_PKEY *param_key = NULL;
EVP_PKEY_CTX *pctx = NULL;

pctx = EVP_PKEY_CTX_new_from_name(NULL, "DHX", NULL);
EVP_PKEY_paramgen_init(pctx);

params[0] = OSSL_PARAM_construct_uint("pbits", &pbits);
params[1] = OSSL_PARAM_construct_uint("qbits", &qbits);
params[2] = OSSL_PARAM_construct_int("gindex", &gindex);
params[3] = OSSL_PARAM_construct_utf8_string("type", "fips186_4", 0);
params[4] = OSSL_PARAM_construct_utf8_string("digest", "SHA256", 0);
params[5] = OSSL_PARAM_construct_end();
EVP_PKEY_CTX_set_params(pctx, params);

EVP_PKEY_generate(pctx, &param_key);

EVP_PKEY_print_params(bio_out, param_key, 0, NULL);
...
EVP_PKEY_free(param_key);
EVP_PKEY_CTX_free(pctx);

a DH key can be generated using domain parameters by calling:

EVP_PKEY *key = NULL;
EVP_PKEY_CTX *gctx = EVP_PKEY_CTX_new_from_pkey(NULL, param_key, NULL);

EVP_PKEY_keygen_init(gctx);
EVP_PKEY_generate(gctx, &key);
EVP_PKEY_print_private(bio_out, key, 0, NULL);
...
EVP_PKEY_free(key);
EVP_PKEY_CTX_free(gctx);

to validate FIPS186-4 DHX domain parameters decoded from PEM or DER data, additional values used during generation may be required to be set into the key.

EVP_PKEY_todata(), OSSL_PARAM_merge(), and EVP_PKEY_fromdata() are useful to add these parameters to the original key or domain parameters before the actual validation. in production code the return values should be checked ๐Ÿ‘€ don't skip that bestie.

EVP_PKEY *received_domp = ...; /* parameters received and decoded */
unsigned char *seed = ...;     /* and additional parameters received */
size_t seedlen = ...;          /* by other means, required */
int gindex = ...;              /* for the validation */
int pcounter = ...;
int hindex = ...;
OSSL_PARAM extra_params[4];
OSSL_PARAM *domain_params = NULL;
OSSL_PARAM *merged_params = NULL;
EVP_PKEY_CTX *ctx = NULL, *validate_ctx = NULL;
EVP_PKEY *complete_domp = NULL;

EVP_PKEY_todata(received_domp, OSSL_KEYMGMT_SELECT_DOMAIN_PARAMETERS,
                &domain_params);
extra_params[0] = OSSL_PARAM_construct_octet_string("seed", seed, seedlen);
/*
 * NOTE: For unverifiable g use "hindex" instead of "gindex"
 * extra_params[1] = OSSL_PARAM_construct_int("hindex", &hindex);
 */
extra_params[1] = OSSL_PARAM_construct_int("gindex", &gindex);
extra_params[2] = OSSL_PARAM_construct_int("pcounter", &pcounter);
extra_params[3] = OSSL_PARAM_construct_end();
merged_params = OSSL_PARAM_merge(domain_params, extra_params);

ctx = EVP_PKEY_CTX_new_from_name(NULL, "DHX", NULL);
EVP_PKEY_fromdata_init(ctx);
EVP_PKEY_fromdata(ctx, &complete_domp, OSSL_KEYMGMT_SELECT_ALL,
                  merged_params);

validate_ctx = EVP_PKEY_CTX_new_from_pkey(NULL, complete_domp, NULL);
if (EVP_PKEY_param_check(validate_ctx) > 0)
    /* validation_passed(); */
else
    /* validation_failed(); */

OSSL_PARAM_free(domain_params);
OSSL_PARAM_free(merged_params);
EVP_PKEY_CTX_free(ctx);
EVP_PKEY_CTX_free(validate_ctx);
EVP_PKEY_free(complete_domp);

๐Ÿ’… CONFORMING TO ๐Ÿ’…

ok so if you were lowkey wondering "bestie, is this whole thing actually standards-compliant or is it just vibes?" โ€” it's standards-compliant, no cap. Here's the receipts, and yes I'm listing every single one because we don't skip details in this house ๐Ÿซถ

  • RFC 7919 โ€” (TLS ffdhe named safe prime groups)
  • RFC 3526 โ€” (IKE modp named safe prime groups)
  • RFC 5114 โ€” (Additional DH named groups for "dh_1024_160", "dh_2048_224" and "dh_2048_256").

๐Ÿงš Also these sections of SP800-56Ar3, periodt:

  • 5.5.1.1 FFC Domain Parameter Selection/Generation
  • Appendix D: FFC Safe-prime Groups

๐Ÿฆ‹ And these sections of FIPS186-4, because of course:

  • A.1.1.2 Generation of Probable Primes p and q Using an Approved Hash Function.
  • A.2.3 Generation of canonical generator g.
  • A.2.1 Unverifiable Generation of the Generator g.

๐ŸŒˆ SEE ALSO ๐ŸŒˆ

go read these next, bestie, they're literally the้…ๅฅ— lore for this page ๐Ÿ‘‘

EVP_PKEY-FFC(7), EVP_KEYEXCH-DH(7) EVP_PKEY(3), provider-keymgmt(7), EVP_KEYMGMT(3), OSSL_PROVIDER-default(7), OSSL_PROVIDER-FIPS(7)


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fr fr, read the license before you go copying this file around โ€” that's the whole vibe check ๐Ÿ’€

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