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Generating OpenSSL Certificate for DHE Exchange

I am new to security and OpenSSL. My goal is to programmatically generate a certificate that conveys the "obsolete" shameful behavior that Chrome does. The certificates that I used to generate used AES_128_GCMwith RSA, although I tried to set the encryption list to kEECDH:kEDH:!ADH:AES256-SHA256, but in the context of the server is used SSL_CTX_new(TLSv1_2_server_method());.

Based on an example from the documentation, I tried the following:

X509 *x = NULL;
EVP_PKEY *pk = NULL;
EVP_PKEY_CTX *ctx = NULL;
EVP_PKEY *params = NULL;

if(NULL == (params = EVP_PKEY_new()))
    goto err;

if(1 != EVP_PKEY_set1_DH(params, DH_get_2048_256()))
    goto err;

if(!(ctx = EVP_PKEY_CTX_new(params, NULL)))
    goto err;

if(!EVP_PKEY_keygen_init(ctx))
    goto err;

if(!EVP_PKEY_keygen(ctx, &pk))
    goto err;

if ((x=X509_new()) == NULL)
    goto err;

X509_set_version(x,2);
X509_set_pubkey(x,pk);

//... (setting the issuer, subject, etc)

//Here is where it fails
if (!X509_sign(x,pk,EVP_sha256()))
    goto err;

The same code works for RSAinstead DH. The error that gives X509_signis equal EVP_PKEY_sign_init operation not supported for this keytype.

? , ECDHE, , . , , . , . , , , ( ).

+4
1

, , "" , Chrome...
? , ECDHE, , ....
kEECDH:kEDH:!ADH:AES256-SHA256...

HIGH:!aNULL:!RC4:!MD5 . ( ), RSA: HIGH:!aNULL:!kRSA:!RC4:!MD5.

...

. SSL/TLS Client OpenSSL. , , .

, , SSL_OP_SAFARI_ECDHE_ECDSA_BUG.

OpenSSL DHE

. RSA, DSS ECDSA. ( ), .

. , SSL_CTX_set_cipher_list .

, SRP PSK, . RSA , , :

$ openssl ciphers -v 'HIGH:!aNULL:!kRSA:!RC4:!MD5:!3DES:!DSS:!DSA:!SRP:!PSK'
ECDHE-RSA-AES256-GCM-SHA384 TLSv1.2 Kx=ECDH     Au=RSA  Enc=AESGCM(256) Mac=AEAD
ECDHE-ECDSA-AES256-GCM-SHA384 TLSv1.2 Kx=ECDH     Au=ECDSA Enc=AESGCM(256) Mac=AEAD
ECDHE-RSA-AES256-SHA384 TLSv1.2 Kx=ECDH     Au=RSA  Enc=AES(256)  Mac=SHA384
ECDHE-ECDSA-AES256-SHA384 TLSv1.2 Kx=ECDH     Au=ECDSA Enc=AES(256)  Mac=SHA384
ECDHE-RSA-AES256-SHA    SSLv3 Kx=ECDH     Au=RSA  Enc=AES(256)  Mac=SHA1
ECDHE-ECDSA-AES256-SHA  SSLv3 Kx=ECDH     Au=ECDSA Enc=AES(256)  Mac=SHA1
DHE-RSA-AES256-GCM-SHA384 TLSv1.2 Kx=DH       Au=RSA  Enc=AESGCM(256) Mac=AEAD
DHE-RSA-AES256-SHA256   TLSv1.2 Kx=DH       Au=RSA  Enc=AES(256)  Mac=SHA256
DHE-RSA-AES256-SHA      SSLv3 Kx=DH       Au=RSA  Enc=AES(256)  Mac=SHA1
DHE-RSA-CAMELLIA256-SHA SSLv3 Kx=DH       Au=RSA  Enc=Camellia(256) Mac=SHA1
ECDH-RSA-AES256-GCM-SHA384 TLSv1.2 Kx=ECDH/RSA Au=ECDH Enc=AESGCM(256) Mac=AEAD
ECDH-ECDSA-AES256-GCM-SHA384 TLSv1.2 Kx=ECDH/ECDSA Au=ECDH Enc=AESGCM(256) Mac=AEAD
ECDH-RSA-AES256-SHA384  TLSv1.2 Kx=ECDH/RSA Au=ECDH Enc=AES(256)  Mac=SHA384
ECDH-ECDSA-AES256-SHA384 TLSv1.2 Kx=ECDH/ECDSA Au=ECDH Enc=AES(256)  Mac=SHA384
ECDH-RSA-AES256-SHA     SSLv3 Kx=ECDH/RSA Au=ECDH Enc=AES(256)  Mac=SHA1
ECDH-ECDSA-AES256-SHA   SSLv3 Kx=ECDH/ECDSA Au=ECDH Enc=AES(256)  Mac=SHA1
ECDHE-RSA-AES128-GCM-SHA256 TLSv1.2 Kx=ECDH     Au=RSA  Enc=AESGCM(128) Mac=AEAD
ECDHE-ECDSA-AES128-GCM-SHA256 TLSv1.2 Kx=ECDH     Au=ECDSA Enc=AESGCM(128) Mac=AEAD
ECDHE-RSA-AES128-SHA256 TLSv1.2 Kx=ECDH     Au=RSA  Enc=AES(128)  Mac=SHA256
ECDHE-ECDSA-AES128-SHA256 TLSv1.2 Kx=ECDH     Au=ECDSA Enc=AES(128)  Mac=SHA256
ECDHE-RSA-AES128-SHA    SSLv3 Kx=ECDH     Au=RSA  Enc=AES(128)  Mac=SHA1
ECDHE-ECDSA-AES128-SHA  SSLv3 Kx=ECDH     Au=ECDSA Enc=AES(128)  Mac=SHA1
DHE-RSA-AES128-GCM-SHA256 TLSv1.2 Kx=DH       Au=RSA  Enc=AESGCM(128) Mac=AEAD
DHE-RSA-AES128-SHA256   TLSv1.2 Kx=DH       Au=RSA  Enc=AES(128)  Mac=SHA256
DHE-RSA-AES128-SHA      SSLv3 Kx=DH       Au=RSA  Enc=AES(128)  Mac=SHA1
DHE-RSA-CAMELLIA128-SHA SSLv3 Kx=DH       Au=RSA  Enc=Camellia(128) Mac=SHA1
ECDH-RSA-AES128-GCM-SHA256 TLSv1.2 Kx=ECDH/RSA Au=ECDH Enc=AESGCM(128) Mac=AEAD
ECDH-ECDSA-AES128-GCM-SHA256 TLSv1.2 Kx=ECDH/ECDSA Au=ECDH Enc=AESGCM(128) Mac=AEAD
ECDH-RSA-AES128-SHA256  TLSv1.2 Kx=ECDH/RSA Au=ECDH Enc=AES(128)  Mac=SHA256
ECDH-ECDSA-AES128-SHA256 TLSv1.2 Kx=ECDH/ECDSA Au=ECDH Enc=AES(128)  Mac=SHA256
ECDH-RSA-AES128-SHA     SSLv3 Kx=ECDH/RSA Au=ECDH Enc=AES(128)  Mac=SHA1
ECDH-ECDSA-AES128-SHA   SSLv3 Kx=ECDH/ECDSA Au=ECDH Enc=AES(128)  Mac=SHA1
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