Wavelet: Code-based postquantum signatures with fast verification on microcontrollers

10/26/2021

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by   Gustavo Banegas, et al.

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This work presents the first full implementation of Wave, a postquantum code-based signature scheme. We define Wavelet, a concrete Wave scheme at the 128-bit classical security level (or NIST postquantum security Level 1) equipped with a fast verification algorithm targeting embedded devices. Wavelet offers 930-byte signatures, with a public key of 3161 kB. We include implementation details using AVX instructions, and on ARM Cortex-M4, including a solution to deal with Wavelet's large public keys, which do not fit in the SRAM of a typical embedded device. Our verification algorithm is ≈ 4.65 × faster then the original, and verifies in 1 087 538 cycles using AVX instructions, or 13 172 ticks in an ARM Cortex-M4.