Temporal evolution of contacts and communities in networks of face-to-face human interactions |
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| Authors: | Mark Kibanov Martin Atzmueller Christoph Scholz Gerd Stumme |
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| Affiliation: | 1. School of Mathematics, Shandong University, Jinan, 250100, China
2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China
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| Abstract: | In this paper, we present invalid-curve attacks that apply to the hyperelliptic curve scalar multiplication (HECSM) algorithm proposed by Avanzi et al. on the genus 2 hyperelliptic curve over binary field. We observe some new properties of the HECSM. Our attacks are based on these new properties and the observation that the parameters f 0 and f 1 of the hyperelliptic curve equation are not utilized for the HECSM. We show that with different “values” for curve parameters f 0, f 1, there exsit cryptographically weak groups in the Koblitz hyperelliptic curve. Also, we compute the theoretical probability of getting a weak Jacobian group of hyperelliptic curve whose cardinality is an smooth integer. |
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| Keywords: | social network analysis community detection face-to-face contact networks temporal networks community stability |
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