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In this paper, we point out that there are some security problems of Guo and Chang's protocol and propose a simpler authenticated group key distribution protocol based on the Chinese remainder theorem. The confidentiality of our proposed protocol is unconditionally secure. Copyright \u00a9 2013 John Wiley & Sons, Ltd.<\/jats:p>","DOI":"10.1002\/dac.2569","type":"journal-article","created":{"date-parts":[[2013,7,4]],"date-time":"2013-07-04T11:22:24Z","timestamp":1372936944000},"page":"3502-3512","source":"Crossref","is-referenced-by-count":12,"title":["An authenticated group key distribution mechanism using theory of numbers"],"prefix":"10.1002","volume":"27","author":[{"given":"Yanjun","family":"Liu","sequence":"first","affiliation":[{"name":"School of Computer Science and Technology Anhui University Hefei 230039 China"},{"name":"Department of Computer Science and Information Engineering Asia University Taichung 413 Taiwan"}]},{"given":"Lein","family":"Harn","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Electrical Engineering University of Missouri\u2010Kansas City Kansas City Missouri 64110\u20102499 USA"}]},{"given":"Chin\u2010Chen","family":"Chang","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Information Engineering Asia University Taichung 413 Taiwan"},{"name":"Department of Information Engineering and Computer Science Feng Chia University Taichung 407 Taiwan"}]}],"member":"311","published-online":{"date-parts":[[2013,7,4]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"crossref","unstructured":"BoydC.On key agreement and conference key agreement.Proceedings of Second Australasian Conference on Information Security and Privacy Sydney Australia Jul.1997;294\u2013302.","DOI":"10.1007\/BFb0027936"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1002\/dac.1265"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00145-006-0361-5"},{"key":"e_1_2_7_5_1","doi-asserted-by":"crossref","unstructured":"BohliJM.A framework for robust group key agreement.Proceedings of International Conference on Computational Science and Applications(ICCSA'06) Glasgow UK May2006;355\u2013364.","DOI":"10.1007\/11751595_39"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1002\/dac.1286"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/TNET.2006.872575"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.1023\/B:JONS.0000015697.38671.ec"},{"key":"e_1_2_7_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSE.2003.1199073"},{"key":"e_1_2_7_10_1","unstructured":"PerrigA SongD TygarJD.Elk a new protocol for efficient large group key distribution.Proceedings of IEEE Symposium on Security and Privacy Oakland USA May2001;247\u2013262."},{"key":"e_1_2_7_11_1","doi-asserted-by":"crossref","unstructured":"ChangCC WuTC ChenCP.The design of a conference key distribution system.Proceedings of Advances in Cryptology\u2010AUSCRYPT'92 Gold Coast Australia LNCS 0718 Dec.1992;459\u2013466.","DOI":"10.1007\/3-540-57220-1_83"},{"key":"e_1_2_7_12_1","doi-asserted-by":"crossref","unstructured":"SteinerM TsudikG WaidnerM.Diffie\u2010Hellman key distribution extended to group communication.Proceedings of Third ACM Conference on Computer and Communication Security(CCS'96) New Delhi India Mar.1996;31\u201337.","DOI":"10.1145\/238168.238182"},{"key":"e_1_2_7_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/359168.359176"},{"key":"e_1_2_7_14_1","doi-asserted-by":"crossref","unstructured":"BlakleyGR.Safeguarding cryptographic keys.Proceedings of American Federation of Information Processing Societies National Computer Conference New York USA Nov.1979;48:313\u2013317.","DOI":"10.1109\/MARK.1979.8817296"},{"key":"e_1_2_7_15_1","doi-asserted-by":"crossref","unstructured":"BerkovitsS.How to broadcast a secret.Proceedings of Eurocrypt'91 Workshop Advances in Cryptology Brighton UK Apr.1991; 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