NTRU
- Algorithm type: Key encapsulation mechanism.
- Main cryptographic assumption: NTRU in Z[x]/(q, x^n-1) with prime n and power-of-two q.
- Principal submitters: John M. Schanck.
- Auxiliary submitters: Cong Chen, Oussama Danba, Jeffrey Hoffstein, Andreas Hülsing, Joost Rijneveld, Tsunekazu Saito, Peter Schwabe, William Whyte, Keita Xagawa, Takashi Yamakawa, Zhenfei Zhang.
- Authors’ website: https://ntru.org/
- Specification version: NIST Round 3 submission.
- Primary Source:
- Source: https://github.com/PQClean/PQClean/commit/4c9e5a3aa715cc8d1d0e377e4e6e682ebd7602d6
- Implementation license (SPDX-Identifier): CC0-1.0
- Ancestors of primary source:
- https://github.com/jschanck/ntru/tree/a43a4457
Parameter set summary
| 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) |
|---|---|---|---|---|---|---|---|---|---|
| NTRU-HPS-2048-509 | NA | IND-CCA2 | 1 | 699 | 935 | 699 | 32 | NA | NA |
| NTRU-HPS-2048-677 | NA | IND-CCA2 | 3 | 930 | 1234 | 930 | 32 | NA | NA |
| NTRU-HPS-4096-821 | NA | IND-CCA2 | 5 | 1230 | 1590 | 1230 | 32 | NA | NA |
| NTRU-HPS-4096-1229 | NA | IND-CCA2 | 5 | 1842 | 2366 | 1842 | 32 | NA | NA |
| NTRU-HRSS-701 | NA | IND-CCA2 | 3 | 1138 | 1450 | 1138 | 32 | NA | NA |
| NTRU-HRSS-1373 | NA | IND-CCA2 | 5 | 2401 | 2983 | 2401 | 32 | NA | NA |
NTRU-HPS-2048-509 implementation characteristics
| 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?‡ |
|---|---|---|---|---|---|---|---|
| Primary Source | clean | All | All | None | True | True | False |
| Primary Source | avx2 | x86_64 | Linux,Darwin | AVX2,BMI2 | True | True | False |
Are implementations chosen based on runtime CPU feature detection? Yes.
‡For an explanation of what this denotes, consult the Explanation of Terms section at the end of this file.
NTRU-HPS-2048-677 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|---|
| Primary Source | clean | All | All | None | True | True | False |
| Primary Source | avx2 | x86_64 | Linux,Darwin | AVX2,BMI2 | True | True | False |
Are implementations chosen based on runtime CPU feature detection? Yes.
NTRU-HPS-4096-821 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|---|
| Primary Source | clean | All | All | None | True | True | False |
| Primary Source | avx2 | x86_64 | Linux,Darwin | AVX2,BMI2 | True | True | False |
Are implementations chosen based on runtime CPU feature detection? Yes.
NTRU-HPS-4096-1229 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|---|
| Primary Source | clean | All | All | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? Yes.
NTRU-HRSS-701 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|---|
| Primary Source | clean | All | All | None | True | True | False |
| Primary Source | avx2 | x86_64 | Linux,Darwin | AVX2,BMI2 | True | True | False |
Are implementations chosen based on runtime CPU feature detection? Yes.
NTRU-HRSS-1373 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|---|
| Primary Source | clean | All | All | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? Yes.
Explanation of Terms
- Large Stack Usage: Implementations identified as having such may cause failures when running in threads or in constrained environments.