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Cryptography based on number fields with large regulator

Johannes BuchmannMarkus MaurerBodo Möller — 2000

Journal de théorie des nombres de Bordeaux

We explain a variant of the Fiat-Shamir identification and signature protocol that is based on the intractability of computing generators of principal ideals in algebraic number fields. We also show how to use the Cohen-Lenstra-Martinet heuristics for class groups to construct number fields in which computing generators of principal ideals is intractable.

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