Cryptography based on number fields with large regulator
Journal de théorie des nombres de Bordeaux, Tome 12 (2000) no. 2, pp. 293-307.

Nous introduisons une variante du protocole de signature et d'identification de Fiat-Shamir, basée sur la difficulté pratique qu'il y a à calculer des générateurs des idéaux principaux dans les corps de nombres. Nous montrons en outre comment utiliser les heuristiques de Cohen-Lenstra-Martinet pour les groupes de classes dans le but de construire des corps de nombres dans lesquels le calcul de générateurs des idéaux principaux est encore hors d'atteinte.

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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Buchmann, Johannes; Maurer, Markus; Möller, Bodo. Cryptography based on number fields with large regulator. Journal de théorie des nombres de Bordeaux, Tome 12 (2000) no. 2, pp. 293-307. http://www.numdam.org/item/JTNB_2000__12_2_293_0/

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