# Linearly Homomorphic Signature on Lattice-based linearly homomorphic signatures

Source: [Linearly Homomorphic Signature on Lattice-based linearly homomorphic signatures](<https://www.sota2.com/research/sota/linearly-homomorphic-signature-on-lattice-based-linearly-homomorphic-signatures>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-03-19T08:22:30.517Z

Evaluation of Lattice-based linearly homomorphic signature schemes, focusing on signature size, key sizes (public/private), security model (e.g., ROM/EUF-CMA), and tightness properties.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Linearly Homomorphic Signature |
| Dataset (including any stated split) | Lattice-based linearly homomorphic signatures |
| Metric | Signature Size |
| Unit | SIZE |
| Direction | Lower is better |
| Results loaded | 5 of 5 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Signature Size](<https://www.sota2.com/research/sota/linearly-homomorphic-signature-on-lattice-based-linearly-homomorphic-signatures.md?metric=Signature%20Size>): Lower is better; unit: SIZE.

- [Public Key Size](<https://www.sota2.com/research/sota/linearly-homomorphic-signature-on-lattice-based-linearly-homomorphic-signatures.md?metric=Public%20Key%20Size>): Lower is better; unit: SIZE.

- [Private Key Size](<https://www.sota2.com/research/sota/linearly-homomorphic-signature-on-lattice-based-linearly-homomorphic-signatures.md?metric=Private%20Key%20Size>): Lower is better; unit: SIZE.

- [Security Model](<https://www.sota2.com/research/sota/linearly-homomorphic-signature-on-lattice-based-linearly-homomorphic-signatures.md?metric=Security%20Model>): Higher is better; unit: OTHER.

- [Tightness](<https://www.sota2.com/research/sota/linearly-homomorphic-signature-on-lattice-based-linearly-homomorphic-signatures.md?metric=Tightness>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Signature Size | Result date | Report paper |
| --- | --- | --- | --- |
| \[13\] | 1 | Not recorded | 68fa5dd71e209131ce9dd391 |
| \[17\] | 1 | Not recorded | 68fa5dd71e209131ce9dd391 |
| \[15\] | 1 | Not recorded | 68fa5dd71e209131ce9dd391 |
| \[20\] | 1 | Not recorded | 68fa5dd71e209131ce9dd391 |
| Ours (Linearly Homomorphic Signature Scheme) | 1 | Not recorded | 68fa5dd71e209131ce9dd391 |

### \[13\]

Signature Size: 1. Result ID: 69bbb1f747f34ce924a57eb5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5dd71e209131ce9dd391.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### \[17\]

Signature Size: 1. Result ID: 69bbb1f747f34ce924a57eb6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5dd71e209131ce9dd391.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### \[15\]

Signature Size: 1. Result ID: 69bbb1f747f34ce924a57eb7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5dd71e209131ce9dd391.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### \[20\]

Signature Size: 1. Result ID: 69bbb1f747f34ce924a57eb8.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5dd71e209131ce9dd391.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### Ours (Linearly Homomorphic Signature Scheme)

Signature Size: 1. Result ID: 69bbb1f747f34ce924a57eb9.

[Reporting paper](<https://www.sota2.com/research/paper/68fa5dd71e209131ce9dd391.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5dd71e209131ce9dd391.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.
