Trilinear maps for cryptography II
| Autor: | Huang, Ming-Deh A. |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | We continue to study the construction of cryptographic trilinear maps involving abelian varieties over finite fields. We introduce Weil descent as a tool to strengthen the security of a trilinear map. We form the trilinear map on the descent variety of an abelian variety of small dimension defined over a finite field of a large extension degree over a ground field. The descent bases, with respect to which the descents are performed, are trapdoor secrets for efficient construction of the trilinear map which pairs three trapdoor DDH-groups. The trilinear map also provides efficient public identity testing for the third group. We present a concrete construction involving the jacobian varieties of hyperelliptic curves. |
| Databáze: | arXiv |
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