Discrete logarithms in finite fields and their cryptographic significance
Proc. of the EUROCRYPT 84 workshop on Advances in cryptology: theory and application of cryptographic techniques
A key-exchange system based on imaginary quadratic fields
Journal of Cryptology
Journal of Cryptology
Computational methods in commutative algebra and algebraic geometry
Computational methods in commutative algebra and algebraic geometry
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
On the Complexity of the Groebner-Bases Algorithm over K[x, y, z]
EUROSAM '84 Proceedings of the International Symposium on Symbolic and Algebraic Computation
On the Computation of Discrete Logarithms in Class Groups
CRYPTO '90 Proceedings of the 10th Annual International Cryptology Conference on Advances in Cryptology
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
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We show how to use ideal arithmetic in the divisor class group of an affine normal subring of K[X, Y] generated by monomials, where K is a field, to design new public-key cryptosystems, whose security is based on the difficulty of the discrete logarithm problem in the divisor class group of that integral domain.