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CSI-FiSh: Efficient Isogeny based Signatures through Class Group Computations
Isogeny-based cryptography digital signature class group
2019/5/21
In this paper we report on a new record class group computation of an imaginary quadratic field having 154-digit discriminant, surpassing the previous record of 130 digits. This class group is central...
SeaSign: Compact isogeny signatures from class group actions
post-quantum crypto isogenies
2018/11/19
We give a new signature scheme for isogenies that combines the class group actions of CSIDH with the notion of Fiat-Shamir with aborts. Our techniques allow to have signatures of size less than one ki...
Reducing number field defining polynomials: An application to class group computations
number theory class group computation
2016/6/2
In this paper, we describe how to compute smallest monic polynomials that define a given number field K. We make use of the one-to-one correspondence between monic defining polynomials of K and algebr...