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arXiv · 2002.07095

Product Subset Problem : Applications to number theory and cryptography

K. A. Draziotis·V. Martidis·S. Tiganourias
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Abstract

We consider applications of Subset Product Problem (SPP) in number theory and cryptography. We obtain a probabilistic algorithm that attack SPP and we analyze it with respect time/space complexity and success probability. In fact we provide an application to the problem of finding Carmichael numbers and an attack to Naccache-Stern knapsack cryptosystem, where we update previous results.

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K. A. Draziotis, V. Martidis, S. Tiganourias. 2020-02-10. Product Subset Problem : Applications to number theory and cryptography. https://arxiv.org/abs/2002.07095

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