Highly Efficient Parallel Row-Layered Min-Sum MDPC Decoder for McEliece Cryptosystem
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911958603661312 |
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| author | Cai, Jiaxuan Zhang, Xinmiao |
| author_facet | Cai, Jiaxuan Zhang, Xinmiao |
| contents | The medium-density parity-check (MDPC) code-based McEliece cryptosystem remains a finalist of the post-quantum cryptography standard. The Min-sum decoding algorithm achieves better performance-complexity tradeoff than other algorithms for MDPC codes. However, the prior Min-sum MDPC decoder requires large memories, whose complexity dominates the overall complexity. Besides, its actual achievable parallelism is limited. This paper has four contributions: For the first time, the row-layered scheduling scheme is exploited to substantially reduce the memory requirement of MDPC decoders; A low-complexity scheme is developed to mitigate the performance loss caused by finite precision representation of the messages and high column weights of MDPC codes in row-layered decoding; Constraints are added to the parity check matrix construction to enable effective parallel processing with negligible impacts on the decoder performance and resilience towards attacks; A novel parity check matrix division scheme for highly efficient parallel processing is proposed and the corresponding parallel row-layered decoder architecture is designed. The number of clock cycles for each decoding iteration is reduced by a factor of L using the proposed L-parallel decoder with very small memory overhead. For an example 2-parallel decoder, the proposed design leads to 26% less memory requirement and 70% latency reduction compared to the prior decoder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12695 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Highly Efficient Parallel Row-Layered Min-Sum MDPC Decoder for McEliece Cryptosystem Cai, Jiaxuan Zhang, Xinmiao Cryptography and Security Hardware Architecture The medium-density parity-check (MDPC) code-based McEliece cryptosystem remains a finalist of the post-quantum cryptography standard. The Min-sum decoding algorithm achieves better performance-complexity tradeoff than other algorithms for MDPC codes. However, the prior Min-sum MDPC decoder requires large memories, whose complexity dominates the overall complexity. Besides, its actual achievable parallelism is limited. This paper has four contributions: For the first time, the row-layered scheduling scheme is exploited to substantially reduce the memory requirement of MDPC decoders; A low-complexity scheme is developed to mitigate the performance loss caused by finite precision representation of the messages and high column weights of MDPC codes in row-layered decoding; Constraints are added to the parity check matrix construction to enable effective parallel processing with negligible impacts on the decoder performance and resilience towards attacks; A novel parity check matrix division scheme for highly efficient parallel processing is proposed and the corresponding parallel row-layered decoder architecture is designed. The number of clock cycles for each decoding iteration is reduced by a factor of L using the proposed L-parallel decoder with very small memory overhead. For an example 2-parallel decoder, the proposed design leads to 26% less memory requirement and 70% latency reduction compared to the prior decoder. |
| title | Highly Efficient Parallel Row-Layered Min-Sum MDPC Decoder for McEliece Cryptosystem |
| topic | Cryptography and Security Hardware Architecture |
| url | https://arxiv.org/abs/2407.12695 |