On 03/12/2018 07:07 PM, Tudor Ambarus wrote:
Would you consider using ECDSA in the kernel module signing facility?
Any feedback is good. I can invest some time to make this happen, if
needed.
When compared with RSA, ECDSA has shorter keys, the key generation
process is faster, the sign operation is faster, but the verify
operation is slower than with RSA.
Smaller key sizes imply reduced memory footprint and bandwidth that are
especially attractive for memory constrained devices. I'm working with
such a device, capable of generating ecc keys, secure key storage and
ecdsa/ecdh crypto acceleration. I'm trying to find an in-kernel user of
ecdsa.
ECDSA and RSA comparison
------------------------
-> ECDSA requires a much smaller key length in order to provide the same
security strength as RSA [1]:
Security Strength RSA (bits) ECDSA (bits)
112 2048 224 - 255
128 3072 256 - 383
192 7680 384 - 511
256 15360 512+
7680 and 15360 keys are not included in the NIST standards for
interoperability and efficiency reasons, the keys are just too big.
-> key generation: ECC key generation is faster than IFC (Integer -
Factorization Cryptography). RSA private key is based on large prime
numbers, while for ECDSA any positive integer less than n is a valid
private key.
-> ECDSA sign operations are faster than RSA, but verify operations are
slower. Here's an openssl speed test that I've run on my computer:
sign verify sign/s verify/s
rsa 2048 bits 0.000604s 0.000018s 1656.3 56813.7
rsa 4096 bits 0.004027s 0.000062s 248.3 16052.5
sign verify sign/s verify/s
256 bit ecdsa (nistp256) 0.0000s 0.0001s 28986.4 13516.3
384 bit ecdsa (nistp384) 0.0002s 0.0008s 5541.0 1322.2
521 bit ecdsa (nistp521) 0.0003s 0.0006s 3104.2 1756.2
Best,
ta
[1] NIST SP 800-57 Pt. 1 Rev. 4, Recommendation for key management
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