86 lines
9.9 KiB
Markdown
86 lines
9.9 KiB
Markdown
# NTRU
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- **Algorithm type**: Key encapsulation mechanism.
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- **Main cryptographic assumption**: NTRU in Z[x]/(q, x^n-1) with prime n and power-of-two q.
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- **Principal submitters**: John M. Schanck.
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- **Auxiliary submitters**: Cong Chen, Oussama Danba, Jeffrey Hoffstein, Andreas Hülsing, Joost Rijneveld, Tsunekazu Saito, Peter Schwabe, William Whyte, Keita Xagawa, Takashi Yamakawa, Zhenfei Zhang.
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- **Authors' website**: https://ntru.org/
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- **Specification version**: NIST Round 3 submission.
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- **Primary Source**<a name="primary-source"></a>:
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- **Source**: https://github.com/PQClean/PQClean/commit/4c9e5a3aa715cc8d1d0e377e4e6e682ebd7602d6
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- **Implementation license (SPDX-Identifier)**: CC0-1.0
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- **Optimized Implementation sources**:
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- **avx2**:<a name="avx2"></a>
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- **Source**: https://github.com/PQClean/PQClean/commit/4c9e5a3aa715cc8d1d0e377e4e6e682ebd7602d6
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- **Implementation license (SPDX-Identifier)**: CC0-1.0
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- **Ancestors of primary source**:
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- https://github.com/jschanck/ntru/tree/a43a4457
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## Parameter set summary
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| Parameter set | Parameter set alias | Security model | Claimed NIST Level | Public key size (bytes) | Secret key size (bytes) | Ciphertext size (bytes) | Shared secret size (bytes) | Keypair seed size (bytes) | Encapsulation seed size (bytes) |
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|:------------------:|:----------------------|:-----------------|---------------------:|--------------------------:|--------------------------:|--------------------------:|-----------------------------:|:----------------------------|:----------------------------------|
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| NTRU-HPS-2048-509 | NA | IND-CCA2 | 1 | 699 | 935 | 699 | 32 | NA | NA |
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| NTRU-HPS-2048-677 | NA | IND-CCA2 | 3 | 930 | 1234 | 930 | 32 | NA | NA |
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| NTRU-HPS-4096-821 | NA | IND-CCA2 | 5 | 1230 | 1590 | 1230 | 32 | NA | NA |
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| NTRU-HPS-4096-1229 | NA | IND-CCA2 | 5 | 1842 | 2366 | 1842 | 32 | NA | NA |
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| NTRU-HRSS-701 | NA | IND-CCA2 | 3 | 1138 | 1450 | 1138 | 32 | NA | NA |
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| NTRU-HRSS-1373 | NA | IND-CCA2 | 5 | 2401 | 2983 | 2401 | 32 | NA | NA |
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## NTRU-HPS-2048-509 implementation characteristics
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| Implementation source | Identifier in upstream | Supported architecture(s) | Supported operating system(s) | CPU extension(s) used | No branching-on-secrets claimed? | No branching-on-secrets checked by valgrind? | Large stack usage?‡ |
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|:---------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:----------------------|
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| [Primary Source](#primary-source) | clean | All | All | None | True | True | False |
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| [Primary Source](#primary-source) | avx2 | x86\_64 | Linux,Darwin | AVX2,BMI2 | True | True | False |
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Are implementations chosen based on runtime CPU feature detection? **Yes**.
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‡For an explanation of what this denotes, consult the [Explanation of Terms](#explanation-of-terms) section at the end of this file.
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## NTRU-HPS-2048-677 implementation characteristics
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| Implementation source | Identifier in upstream | Supported architecture(s) | Supported operating system(s) | CPU extension(s) used | No branching-on-secrets claimed? | No branching-on-secrets checked by valgrind? | Large stack usage? |
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|:---------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:---------------------|
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| [Primary Source](#primary-source) | clean | All | All | None | True | True | False |
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| [Primary Source](#primary-source) | avx2 | x86\_64 | Linux,Darwin | AVX2,BMI2 | True | True | False |
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Are implementations chosen based on runtime CPU feature detection? **Yes**.
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## NTRU-HPS-4096-821 implementation characteristics
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| Implementation source | Identifier in upstream | Supported architecture(s) | Supported operating system(s) | CPU extension(s) used | No branching-on-secrets claimed? | No branching-on-secrets checked by valgrind? | Large stack usage? |
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|:---------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:---------------------|
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| [Primary Source](#primary-source) | clean | All | All | None | True | True | False |
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| [Primary Source](#primary-source) | avx2 | x86\_64 | Linux,Darwin | AVX2,BMI2 | True | True | False |
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Are implementations chosen based on runtime CPU feature detection? **Yes**.
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## NTRU-HPS-4096-1229 implementation characteristics
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| Implementation source | Identifier in upstream | Supported architecture(s) | Supported operating system(s) | CPU extension(s) used | No branching-on-secrets claimed? | No branching-on-secrets checked by valgrind? | Large stack usage? |
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|:---------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:---------------------|
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| [Primary Source](#primary-source) | clean | All | All | None | True | True | False |
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Are implementations chosen based on runtime CPU feature detection? **Yes**.
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## NTRU-HRSS-701 implementation characteristics
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| Implementation source | Identifier in upstream | Supported architecture(s) | Supported operating system(s) | CPU extension(s) used | No branching-on-secrets claimed? | No branching-on-secrets checked by valgrind? | Large stack usage? |
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|:---------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:---------------------|
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| [Primary Source](#primary-source) | clean | All | All | None | True | True | False |
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| [Primary Source](#primary-source) | avx2 | x86\_64 | Linux,Darwin | AVX2,BMI2 | True | True | False |
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Are implementations chosen based on runtime CPU feature detection? **Yes**.
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## NTRU-HRSS-1373 implementation characteristics
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| Implementation source | Identifier in upstream | Supported architecture(s) | Supported operating system(s) | CPU extension(s) used | No branching-on-secrets claimed? | No branching-on-secrets checked by valgrind? | Large stack usage? |
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|:---------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:---------------------|
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| [Primary Source](#primary-source) | clean | All | All | None | True | True | False |
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Are implementations chosen based on runtime CPU feature detection? **Yes**.
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## Explanation of Terms
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- **Large Stack Usage**: Implementations identified as having such may cause failures when running in threads or in constrained environments. |