Applicability conditions for \(q\)-ary Reed-Muller codes in traitor tracing

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Home Editorial board Publication ethics Peer review guidelines Latest issue All issues Rules for authors Online submission system's guidelines Submit manuscript Contacts Address: Vatutina st. 53, Vladikavkaz, 362025, RNO-A, Russia Phone: (8672)23-00-54 E-mail: rio@smath.ru	DOI: 10.23671/VNC.2016.2.7387 Applicability conditions for \(q\)-ary Reed-Muller codes in traitor tracing Yevpak S. A. , Mkrtichan V. V. Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 2. Abstract: The special information protection scheme is investigated. The scheme prevents unauthorized distribution to digital products. The paper introduces the applicability conditions for \(q\)-ary Reed--Muller codes in the scheme. These codes help to search malefactors who attack the scheme. Keywords: noise-resistant code, traitor tracing, traceability codes (TA-codes), identifiable parent property (IPP), coalition, descendants, \(q\)-ary Reed-Muller codes. Language: Russian Download the full text For citation: Yevpak S. A., Mkrtichan V. V. Applicability conditions for \(q\)-ary Reed-Muller codes in traitor tracing. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 2, pp.38-45. DOI 10.23671/VNC.2016.2.7387 + References 1. Chor B., Fiat A., Naor M. Tracing Traitors. Advances in Cryptology - Crypto 1994, 1994, pp. 257-270 (Lecture Notes in Computer Science. Vol. 839). 2. Silverberg A., Staddon J., Walker J. Application of list decoding to tracing traitors. Advances in Cryptolo - Asiacrypt 2001, 2001, pp. 175-192 (Lecture Notes in Computer Science. Vol. 2248). 3. Staddon J. N., Stinson D. R., Wei R. Combinatorial properties of frameproof and traceability codes. IEEE Trans. Inf. Theory, 2001, vol. 47, pp. 1042-1049. 4. Deundyak V. M., Mkrtichan V. V. Mathematical model of a powered broadcast encryption scheme, research of bounds of the scheme applying. Izv. Vuzov. Sev.-Kavk. Region. Estestvennye Nauki [Izvestiya of the North Caucasus Scientific Centre of the Higher School. Natural Sciences], 2009, no. 1, pp. 5-8 (Russian). 5. Fernandez M., Cotrina J., Sorario M., Domingo N. A note about the traceability properties of linear codes. Information Security and Cryptology – ICISC 2007, 2007, pp. 251-258 (Lecture Notes in Computer Science. Vol. 4817). 6. Pellikaan R., Wu X.-W. List decoding of q-ary Reed-Muller Codes. IEEE Trans. On Information Theory, 2004, vol. 50(4), pp. 679-682. 7. Evpak S. A., Mkrtichan V. V. Research of Possibility of Application q Reed - Muller Codes in Traitor Tracing. Izv. Vuzov. Sev.-Kavk. Region. Estestvennye Nauki [Izvestiya of the North Caucasus Scientific Centre of the Higher School. Natural Sciences], 2011, no. 5, pp. 11-15 (Russian). 8. Evpak S. A., Mkrtichan V. V. Ob issledovanii vozmozhnosti primenenija q-ichnyh kodov Rida - Mallera v special'nyh shemah zashhity informacii ot NSD. Obozrenie Prikladnoj i Promyshlennoj Matematiki, 2011, vol. 18, no. 2, pp. 268-269 (Russian). The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses. ← Contents of issue


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