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Introducing Arithmetic Failures to Accelerate QC-MDPC Code-Based Cryptography

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Autor(es):
Guimaraes, Antonio ; Borin, Edson ; Aranha, Diego F. ; Baldi, M ; Persichetti, E ; Santini, P
Número total de Autores: 6
Tipo de documento: Artigo Científico
Fonte: CODE-BASED CRYPTOGRAPHY, CBC 2019; v. 11666, p. 25-pg., 2019-01-01.
Resumo

In this work, we optimize the performance of QC-MDPC code-based cryptosystems through the insertion of configurable failure rates in their arithmetic procedures. We present constant time algorithms with a configurable failure rate for multiplication and inversion over binary polynomials, the two most expensive subroutines used in QC-MDPC implementations. Using a failure rate negligible compared to the security level (2(-128)), our multiplication is 2 times faster than NTL on sparse polynomials and 1.6 times faster than a naive constant-time sparse polynomial multiplication. Our inversion algorithm, based on Wu et al., is 2 times faster than the original algorithm and 12 times faster than Itoh-Tsujii using the same modulus polynomial (x(32749) - 1). By inserting these algorithms in a version of QcBits at the 128-bit quantum security level, we were able to achieve a speedup of 1.9 on the key generation and up to 1.4 on the decryption time. Comparing with variant 2 of the BIKE suite, which also implements the Niederreiter Cryptosystem using QC-MDPC codes, our final version of QcBits performs the uniform decryption 2.7 times faster. (AU)

Processo FAPESP: 14/50704-7 - Execução segura de algoritmos criptográficos
Beneficiário:Julio César López Hernández
Modalidade de apoio: Auxílio à Pesquisa - Parceria para Inovação Tecnológica - PITE
Processo FAPESP: 13/08293-7 - CECC - Centro de Engenharia e Ciências Computacionais
Beneficiário:Munir Salomao Skaf
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs