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Title:
Breaking the decisional Diffie-Hellman problem in totally non-maximal imaginary quadratic orders
Authors: Antonio Sanso
Abstract:This paper introduces an algorithm to efficiently break the Decisional Diffie-Hellman (DDH) assumption in totally non-maximal imaginary quadratic orders, specifically when \Delta_1 = 3, and f is non-prime with knowledge of a single factor. Inspired by Shanks and Dedekind’s work on 3-Sylow groups, we generalize their observations to undermine DDH security.
ePrint: https://eprint.iacr.org/2024/201
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