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A new twofold Cornacchia-type algorithm and its applications

A new twofold Cornacchia-type algorithm and its applications

We focus on exploring more potential of Longa and Sica's algorithm (ASIACRYPT 2012), which is an elaborate iterated Cornacchia algorithm that can compute short bases for 4-GLV decompositions. The algorithm consists of two sub-algorithms, the first one in the ring of integers $ \mathbb{Z} $ and the second one in …