SIKE
- Algorithm type: Key encapsulation mechanism.
- Main cryptographic assumption: (supersingular) isogeny walk problem.
- Principal submitters: David Jao, Reza Azarderakhsh, Matthew Campagna, Craig Costello, Luca De Feo, Basil Hess, Amir Jalali, Brian Koziel, Brian LaMacchia, Patrick Longa, Michael Naehrig, Joost Renes, Vladimir Soukharev, David Urbanik.
- Authors’ website: https://sike.org
- Specification version: NIST Round 3 submission.
- Implementation source: https://github.com/microsoft/PQCrypto-SIDH/commit/28b4b5d0a7926e0e7eb4f9c03f75887236e1cebd
- Implementation license (SPDX-Identifier): MIT.
Parameter set summary
| Parameter set | Security model | Claimed NIST Level | Public key size (bytes) | Secret key size (bytes) | Ciphertext size (bytes) | Shared secret size (bytes) |
|---|---|---|---|---|---|---|
| SIDH-p434 | IND-CPA | 1 | 330 | 28 | 330 | 110 |
| SIDH-p434-compressed | IND-CPA | 1 | 197 | 28 | 197 | 110 |
| SIDH-p503 | IND-CPA | 2 | 378 | 32 | 378 | 126 |
| SIDH-p503-compressed | IND-CPA | 2 | 225 | 32 | 225 | 126 |
| SIDH-p610 | IND-CPA | 3 | 462 | 39 | 462 | 154 |
| SIDH-p610-compressed | IND-CPA | 3 | 274 | 39 | 274 | 154 |
| SIDH-p751 | IND-CPA | 5 | 564 | 48 | 564 | 188 |
| SIDH-p751-compressed | IND-CPA | 5 | 335 | 48 | 335 | 188 |
| SIKE-p434 | IND-CCA2 | 1 | 330 | 374 | 346 | 16 |
| SIKE-p434-compressed | IND-CCA2 | 1 | 197 | 350 | 236 | 16 |
| SIKE-p503 | IND-CCA2 | 2 | 378 | 434 | 402 | 24 |
| SIKE-p503-compressed | IND-CCA2 | 2 | 225 | 407 | 280 | 24 |
| SIKE-p610 | IND-CCA2 | 3 | 462 | 524 | 486 | 24 |
| SIKE-p610-compressed | IND-CCA2 | 3 | 274 | 491 | 336 | 24 |
| SIKE-p751 | IND-CCA2 | 5 | 564 | 644 | 596 | 32 |
| SIKE-p751-compressed | IND-CCA2 | 5 | 335 | 602 | 410 | 32 |
SIDH-p434 implementation characteristics
| 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?‡ |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
‡For an explanation of what this denotes, consult the Explanation of Terms section at the end of this file.
SIDH-p434-compressed implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIDH-p503 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64 | x86_64 | Linux,Darwin | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIDH-p503-compressed implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64 | x86_64 | Linux,Darwin | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIDH-p610 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIDH-p610-compressed implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIDH-p751 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64 | x86_64 | Linux,Darwin | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIDH-p751-compressed implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64 | x86_64 | Linux,Darwin | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIKE-p434 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIKE-p434-compressed implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIKE-p503 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64 | x86_64 | Linux,Darwin | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIKE-p503-compressed implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64 | x86_64 | Linux,Darwin | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIKE-p610 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIKE-p610-compressed implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIKE-p751 implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64 | x86_64 | Linux,Darwin | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
SIKE-p751-compressed implementation characteristics
| 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? |
|---|---|---|---|---|---|---|
| optimized | All | All | None | True | True | False |
| additional_amd64 | x86_64 | Linux,Darwin | None | True | True | False |
| additional_amd64_bmi2 | x86_64 | Linux,Darwin | BMI2 | True | True | False |
| additional_amd64_adx | x86_64 | Linux,Darwin | BMI2,ADX | True | True | False |
| additional_arm64 | arm64v8 | Linux,Darwin | None | True | True | False |
Are implementations chosen based on runtime CPU feature detection? No.
Explanation of Terms
- Large Stack Usage: Implementations identified as having such may cause failures when running in threads or in constrained environments.