Analogy between Learning With Error Problem and Ill-Posed Inverse Problems
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909760175996928 |
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| author | Mittal, Gaurav |
| author_facet | Mittal, Gaurav |
| contents | In this work, we unveil an analogy between well-known lattice based learning with error problem and ill-posed inverse problems. We show that LWE problem is a structured inverse problem. Further, we propose a symmetric encryption scheme based on ill-posed problems and thoroughly discuss its security. Finally, we propose a public key encryption scheme based on our symmetric encryption scheme and CRYSTALS-Kyber KEM (key encapsulation mechanism) and discuss its security. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21653 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analogy between Learning With Error Problem and Ill-Posed Inverse Problems Mittal, Gaurav Numerical Analysis Cryptography and Security 94A60, 65J22 In this work, we unveil an analogy between well-known lattice based learning with error problem and ill-posed inverse problems. We show that LWE problem is a structured inverse problem. Further, we propose a symmetric encryption scheme based on ill-posed problems and thoroughly discuss its security. Finally, we propose a public key encryption scheme based on our symmetric encryption scheme and CRYSTALS-Kyber KEM (key encapsulation mechanism) and discuss its security. |
| title | Analogy between Learning With Error Problem and Ill-Posed Inverse Problems |
| topic | Numerical Analysis Cryptography and Security 94A60, 65J22 |
| url | https://arxiv.org/abs/2508.21653 |