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Falcon ARMv8

Overall status

NEON implementation of Signature Generation and Verification. There is negligible speed up Key generation from FFT implementation.

Reproduce Benchmark

If you don't have the hardware, inside each folder has *.md files, which are the benchmarked results for AVX (Intel chip), Apple M1, Cortex-A72.

Feel free to reproduce results. Steps are described below.

Intel i7 1165G

AVX2

Go to ref-avx (reference implementation of Falcon), then run:

  • make avx_59b: to run speed benchmark for 59b message (as shown in paper)
  • make avx_ghz: to run speed benchmark and frequency of the CPU
  • make avx: to run default Falcon speed benchmark and my function benchmark

There is no need for sudo.

Apple M1

NEON

Go to neon folder, make build first, then run:

  • make m1_59b: to run speed benchmark for 59b message (as shown in paper)
  • make m1_ghz: to run speed benchmark and frequency of the CPU
  • make m1: to run default Falcon speed benchmark and my function benchmark
  • make m1_test: to run default Falcon test vectors
  • make kat: to generate KAT file.

To clean up, run make clean.

Note: You may need sudo password to perform benchmark (cycle count in Apple M1 requires sudo).

REF

Go to ref-avx (reference implementation of Falcon), then run:

  • make m1_59b: to run speed benchmark for 59b message (as shown in paper)
  • make m1_ghz: to run speed benchmark and frequency of the CPU
  • make m1: to run default Falcon speed benchmark and my function benchmark

To clean up, run make clean. Note: You may need sudo password to perform benchmark (cycle count in Apple M1 requires sudo).

Cortex-A72

NEON

Go to neon folder, make build first, then run:

  • make a72_59b: to run speed benchmark for 59b message (as shown in paper)
  • make a72_ghz: to run speed benchmark and frequency of the CPU
  • make a72: to run default Falcon speed benchmark and my function benchmark
  • make a72_test: to run default Falcon test vectors
  • make kat: to generate KAT file.

To clean up, run make clean.

There is no need for sudo.

REF

Go to ref-avx (reference implementation of Falcon), then run:

  • make a72_59b: to run speed benchmark for 59b message (as shown in paper)
  • make a72_ghz: to run speed benchmark and frequency of the CPU
  • make a72: to run default Falcon speed benchmark and my function benchmark

There is no need for sudo.

Compressed Twiddle Factor Implementation

See small-fft-ref/fast_fft.c file for my compressed FFT roots in C code.