Performance of SPHINCS-α, with simple tweakable hash function instantiated with shake. Key generation, signing, and verification time are in terms of CPU cycles; signature size is in bytes. Both public and secret keys are short (128 bytes).

Para Keygen Sign Verify SigSize
128f 1.0x10^6 2.7x10^7 2.0x10^6 16720
192f 2.2x10^6 4.5x10^7 1.7x10^6 34896
256f 4.3x10^6 9.1x10^7 3.2x10^6 49312
128s 5.1x10^7 5.4x10^8 2.7x10^6 6880
192s 7.8x10^7 9.9x10^8 3.9x10^6 14568
256s 5.2x10^7 7.6x10^8 6.0x10^6 27232

Performance comparison between SPHINCS+ and SPHINCS-α. Our scheme offers an overall performance improvement for most parameter settings, in terms of signing time and signature size. On the downside, we experience an up to 253% increase in verification time. Nevertheless, we argue that for specific scenarios where verification time is critical, we can re-tune the parameters towards fast verification.

Para Keygen Sign Verify SigSize
128f -9.35% -0.88% -8.01% -2.15%
192f 32.29% -0.41% -41.93% -2.15%
256f -0.95% -0.79% 7.00% -1.09%
128s -29.17% -2.58% 217.74% -12.42%
192s -25.89% -3.26% 220.17% -10.21%
256s -24.60% -16.78% 252.99% -8.59%