Improving FALCON’s Key Generation on ARMv8-A Platforms

  • Caio Teixeira UNICAMP
  • Décio Luiz Gazzoni Filho UEL / UNICAMP
  • Julio César López Hernández UNICAMP


This short paper proposes two implementation techniques that may speed up the key generation routine of FALCON, a lattice-based digital signature scheme recently standardized by NIST. The first is a change in the set of primes used for splitting polynomials in NTT+RNS representation: by mixing 31-bit and 63-bit primes, we postulate that operations may be computed concurrently using both the scalar ALU (for 64-bit) and SIMD ALU (computing four 32-bit operations in a single 128-bit register). The second uses arbitrary-precision floating-point operations to compute the polynomial reduction step, which we prototype and benchmark on both Apple M1 SoC and Cortex-A72, improving on the original implementation for deeper recursion levels.


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TEIXEIRA, Caio; GAZZONI FILHO, Décio Luiz; HERNÁNDEZ, Julio César López. Improving FALCON’s Key Generation on ARMv8-A Platforms. In: SIMPÓSIO BRASILEIRO DE SEGURANÇA DA INFORMAÇÃO E DE SISTEMAS COMPUTACIONAIS (SBSEG), 23. , 2023, Juiz de Fora/MG. Anais [...]. Porto Alegre: Sociedade Brasileira de Computação, 2023 . p. 528-533. DOI: