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arxiv: 1311.7117 · v2 · pith:CV52LGXLnew · submitted 2013-11-27 · 🧮 math.GR · cs.CR

Secret Sharing using Non-Commutative Groups and the Shortlex Order

classification 🧮 math.GR cs.CR
keywords ordersecretsharingshortlexadjustmentsallowsclassicaldrawing
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In this paper we review the Habeeb-Kahrobaei-Shpilrain secret sharing scheme and introduce a variation based on the shortlex order on a free group. Drawing inspiration from adjustments to classical schemes, we also present a method that allows for the protocol to remain secure after multiple secrets are shared.

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