Multipartite secret sharing by bivariate interpolation

Tamir Tassa, Nira Dyn

نتاج البحث: فصل من :كتاب / تقرير / مؤتمرمنشور من مؤتمرمراجعة النظراء


Given a set of participants that is partitioned into distinct compartments, a multipartite access structure is an access structure that does not distinguish between participants that belong to the same compartment. We examine here three types of such access structures - compartmented access structures with lower bounds, compartmented access structures with upper bounds, and hierarchical threshold access structures. We realize those access structures by ideal perfect secret sharing schemes that are based on bivariate Lagrange interpolation. The main novelty of this paper is the introduction of bivariate interpolation and its potential power in designing schemes for multipartite settings, as different compartments may be associated with different lines in the plane. In particular, we show that the introduction of a second dimension may create the same hierarchical effect as polynomial derivatives and Birkhoff interpolation were shown to do in [13].

اللغة الأصليةالإنجليزيّة
عنوان منشور المضيفAutomata, Languages and Programming - 33rd International Colloquium, ICALP 2006, Proceedings
ناشرSpringer Verlag
عدد الصفحات12
رقم المعيار الدولي للكتب (المطبوع)3540359079, 9783540359074
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 2006
الحدث33rd International Colloquium on Automata, Languages and Programming, ICALP 2006 - Venice, إيطاليا
المدة: ١٠ يوليو ٢٠٠٦١٤ يوليو ٢٠٠٦

سلسلة المنشورات

الاسمLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
مستوى الصوت4052 LNCS
رقم المعيار الدولي للدوريات (المطبوع)0302-9743
رقم المعيار الدولي للدوريات (الإلكتروني)1611-3349


!!Conference33rd International Colloquium on Automata, Languages and Programming, ICALP 2006


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