The SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structures
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911503575154688 |
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| author | Borin, Giacomo De Feo, Luca Lido, Guido Maria Schaeffler, Sina |
| author_facet | Borin, Giacomo De Feo, Luca Lido, Guido Maria Schaeffler, Sina |
| contents | We explore the use of level structures to generalize the SQIsign signature scheme. We give a general framework where, given the public key and the commitment, the challenge is to exhibit an isogeny between them with an additional requirement, namely to map a chosen level structure to another. We then instantiate the framework using 1-dimensional and 2-dimensional isogenies. In doing that we provide a new explicit Deuring correspondence for supersingular elliptic curves with level structures and solve new constrained norm equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09899 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structures Borin, Giacomo De Feo, Luca Lido, Guido Maria Schaeffler, Sina Number Theory Cryptography and Security 94A60 (Primary) 11Y40, 14H52 We explore the use of level structures to generalize the SQIsign signature scheme. We give a general framework where, given the public key and the commitment, the challenge is to exhibit an isogeny between them with an additional requirement, namely to map a chosen level structure to another. We then instantiate the framework using 1-dimensional and 2-dimensional isogenies. In doing that we provide a new explicit Deuring correspondence for supersingular elliptic curves with level structures and solve new constrained norm equations. |
| title | The SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structures |
| topic | Number Theory Cryptography and Security 94A60 (Primary) 11Y40, 14H52 |
| url | https://arxiv.org/abs/2603.09899 |