base on Homomorphic Time-Lock Puzzle Schemes # Homomorphic Time-Lock Puzzle Schemes  This is the repository for the paper Towards Practical Homomorphic Time-Lock Puzzles: Applicability and Verifiability, *ESORICS 2022* [[Link](https://link.springer.com/chapter/10.1007/978-3-031-17140-6_21)] by Yi Liu, Qi Wang, Siu-Ming Yiu. ## Introduction This repository provides implementations for the **additively** homomorphic time-lock puzzle scheme with solution space $\mathbb{Z}_n$ in [[MT19]](https://eprint.iacr.org/2019/635.pdf) and our **multiplicatively** homomorphic time-lock puzzle scheme with solution space $\mathbb{Z}_n^*$. To avoid the redundant cost of the puzzle-solving process, we provide three *simple* and *fast* protocols for both the additively HTLP scheme with the solution space $\mathbb{Z}_n$ and our multiplicatively HTLP scheme, respectively, to verify the following three properties. 1. **Correctness.** A puzzle solver is able to convince other parties of the *correctness of the solution* that he solves from a puzzle. 2. **Invalidity.** Upon finding that a puzzle is invalid, one can convince other parties of the *invalidity of the puzzle*. 3. **Validity.** A puzzle generator can convince other parties of the *validity of the puzzle* he generated. ## Dependencies This project has dependencies of [NTL](https://github.com/libntl/ntl) and [OpenSSL](https://www.openssl.org/). ## Build 1. Install [NTL](https://github.com/libntl/ntl). 2. Install libssl-dev 3. Clone the repository: ``` git clone https://github.com/liu-yi/HTLP ``` 4. Enter the directory ``` cd HTLP ``` 5. Assuming you have globally installed NTL and libssl-dev: ``` make ``` 6. You can test the execution by `./TestHTLP`, which is defined in `src/main.cpp`. ", Assign "at most 3 tags" to the expected json: {"id":"8847","tags":[]} "only from the tags list I provide: [{"id":77,"name":"3d"},{"id":89,"name":"agent"},{"id":17,"name":"ai"},{"id":54,"name":"algorithm"},{"id":24,"name":"api"},{"id":44,"name":"authentication"},{"id":3,"name":"aws"},{"id":27,"name":"backend"},{"id":60,"name":"benchmark"},{"id":72,"name":"best-practices"},{"id":39,"name":"bitcoin"},{"id":37,"name":"blockchain"},{"id":1,"name":"blog"},{"id":45,"name":"bundler"},{"id":58,"name":"cache"},{"id":21,"name":"chat"},{"id":49,"name":"cicd"},{"id":4,"name":"cli"},{"id":64,"name":"cloud-native"},{"id":48,"name":"cms"},{"id":61,"name":"compiler"},{"id":68,"name":"containerization"},{"id":92,"name":"crm"},{"id":34,"name":"data"},{"id":47,"name":"database"},{"id":8,"name":"declarative-gui "},{"id":9,"name":"deploy-tool"},{"id":53,"name":"desktop-app"},{"id":6,"name":"dev-exp-lib"},{"id":59,"name":"dev-tool"},{"id":13,"name":"ecommerce"},{"id":26,"name":"editor"},{"id":66,"name":"emulator"},{"id":62,"name":"filesystem"},{"id":80,"name":"finance"},{"id":15,"name":"firmware"},{"id":73,"name":"for-fun"},{"id":2,"name":"framework"},{"id":11,"name":"frontend"},{"id":22,"name":"game"},{"id":81,"name":"game-engine "},{"id":23,"name":"graphql"},{"id":84,"name":"gui"},{"id":91,"name":"http"},{"id":5,"name":"http-client"},{"id":51,"name":"iac"},{"id":30,"name":"ide"},{"id":78,"name":"iot"},{"id":40,"name":"json"},{"id":83,"name":"julian"},{"id":38,"name":"k8s"},{"id":31,"name":"language"},{"id":10,"name":"learning-resource"},{"id":33,"name":"lib"},{"id":41,"name":"linter"},{"id":28,"name":"lms"},{"id":16,"name":"logging"},{"id":76,"name":"low-code"},{"id":90,"name":"message-queue"},{"id":42,"name":"mobile-app"},{"id":18,"name":"monitoring"},{"id":36,"name":"networking"},{"id":7,"name":"node-version"},{"id":55,"name":"nosql"},{"id":57,"name":"observability"},{"id":46,"name":"orm"},{"id":52,"name":"os"},{"id":14,"name":"parser"},{"id":74,"name":"react"},{"id":82,"name":"real-time"},{"id":56,"name":"robot"},{"id":65,"name":"runtime"},{"id":32,"name":"sdk"},{"id":71,"name":"search"},{"id":63,"name":"secrets"},{"id":25,"name":"security"},{"id":85,"name":"server"},{"id":86,"name":"serverless"},{"id":70,"name":"storage"},{"id":75,"name":"system-design"},{"id":79,"name":"terminal"},{"id":29,"name":"testing"},{"id":12,"name":"ui"},{"id":50,"name":"ux"},{"id":88,"name":"video"},{"id":20,"name":"web-app"},{"id":35,"name":"web-server"},{"id":43,"name":"webassembly"},{"id":69,"name":"workflow"},{"id":87,"name":"yaml"}]" returns me the "expected json"