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is there any benchmark for RSA 4096bit long keys on general computers ? how many encryption decryption possible per second ? all benchmarks only show 1024 and 2048 benchmarks :(

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As a rule of thumb, the private key operation will be 8 times and the public key operation 4 times as expensive than what RSA 2048 needs. – CodesInChaos Dec 7 '12 at 12:19
But if you want high performance and high security, why RSA? You could use a ~256 bit (or if paranoid ~512 bit) elliptic curve. That's pretty fast and offers a security level of 128 bit (or 256 bit for a 512 bit curve). – CodesInChaos Dec 7 '12 at 12:21
@CodesInChaos what is elliptic curve relation to RSA? – mary Dec 7 '12 at 12:49
ECDH is a protocol not a key like RSA to distribute publicly .. – mary Dec 7 '12 at 13:07
Implementing asymmetric encryption on top of ECDH is trivial. ECDH can do almost everything RSA encryption can do. Just like with RSA you have a key-pair, which can be long term, and can be used for encryption. – CodesInChaos Dec 7 '12 at 13:15
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2 Answers

up vote 2 down vote accepted

A "general computer" simply doesn't exist, test for yourself with this command:

openssl speed rsa

As an example here is the output on a Intel Xeon 5130:

Doing 512 bit private rsa's for 10s: 67450 512 bit private RSA's in 9.95s
Doing 512 bit public rsa's for 10s: 961891 512 bit public RSA's in 9.94s
Doing 1024 bit private rsa's for 10s: 19914 1024 bit private RSA's in 9.93s
Doing 1024 bit public rsa's for 10s: 343029 1024 bit public RSA's in 9.98s
Doing 2048 bit private rsa's for 10s: 3101 2048 bit private RSA's in 10.00s
Doing 2048 bit public rsa's for 10s: 100363 2048 bit public RSA's in 10.00s
Doing 4096 bit private rsa's for 10s: 430 4096 bit private RSA's in 9.95s
Doing 4096 bit public rsa's for 10s: 27080 4096 bit public RSA's in 9.93s
OpenSSL 1.0.1 14 Mar 2012
built on: Tue Aug 21 05:18:48 UTC 2012
options:bn(64,64) rc4(16x,int) des(idx,cisc,16,int) aes(partial) blowfish(idx) 
compiler: cc -fPIC -DOPENSSL_PIC -DZLIB -DOPENSSL_THREADS -D_REENTRANT -DDSO_DLFCN -DHAVE_DLFCN_H -m64 -DL_ENDIAN -DTERMIO -g -O2 -fstack-protector --param=ssp-buffer-size=4 -Wformat -Wformat-security -Werror=format-security -D_FORTIFY_SOURCE=2 -Wl,-Bsymbolic-functions -Wl,-z,relro -Wa,--noexecstack -Wall -DOPENSSL_NO_TLS1_2_CLIENT -DOPENSSL_MAX_TLS1_2_CIPHER_LENGTH=50 -DMD32_REG_T=int -DOPENSSL_IA32_SSE2 -DOPENSSL_BN_ASM_MONT -DOPENSSL_BN_ASM_MONT5 -DOPENSSL_BN_ASM_GF2m -DSHA1_ASM -DSHA256_ASM -DSHA512_ASM -DMD5_ASM -DAES_ASM -DVPAES_ASM -DBSAES_ASM -DWHIRLPOOL_ASM -DGHASH_ASM
                  sign    verify    sign/s verify/s
rsa  512 bits 0.000148s 0.000010s   6778.9  96769.7
rsa 1024 bits 0.000499s 0.000029s   2005.4  34371.6
rsa 2048 bits 0.003225s 0.000100s    310.1  10036.3
rsa 4096 bits 0.023140s 0.000367s     43.2   2727.1
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up vote 0 down vote

That might help you :

Benchmark

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