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Abstract: This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The motivation for this work came from the observation that several practical DL-based cryptosystems, such as ElGamal, the Elliptic and Hyperelliptic Curve Cryptosystems, XTR, LUC as well as CEILIDH can all naturally be reinterpreted in terms of generalized Jacobians. However, usual Jacobians and algebraic tori are thus far the only generalized Jacobians implicitly... (Update)
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BibTeX entry: (Update)
Isabelle Dchne. Arithmetic of Generalized Jacobians. In Algorithmic Number Theory Symposium - ANTS VII, volume 4076 of Lecture Notes in Computer Science, pages 421435. Springer-Verlag, 2006. http://citeseer.ist.psu.edu/dchne06arithmetic.html More
@misc{ dchne06arithmetic,
author = "I. Dchne",
title = "Arithmetic of Generalized Jacobians",
text = "Isabelle Dchne. Arithmetic of Generalized Jacobians. In Algorithmic Number
Theory Symposium - ANTS VII, volume 4076 of Lecture Notes in Computer Science,
pages 421435. Springer-Verlag, 2006.",
year = "2006",
url = "citeseer.ist.psu.edu/dchne06arithmetic.html" }
Citations (may not include all citations):257 Elliptic curve cryptosystems (context) - Koblitz - 1987
78 Hyperelliptic cryptosystems (context) - Koblitz - 1989
3 Generalized Jacobians in Cryptography (context) - Dechene - 2005
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