| Authentication-secrecy code based on conies over finite fields |
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| 引用本文： | 裴定一,王学理. Authentication-secrecy code based on conies over finite fields[J]. 中国科学E辑(英文版), 1996, 0(5) |
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| 作者姓名： | 裴定一 王学理 |
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| 作者单位： | State Key Laboratory of Information Security，Graduate School of Chinese Academy of Sciences，Beijing 100039，Institute of Mathematics and Information Security，Guangzhou Teachers College，Guangzhou 510400，China，State Key Laboratory of Information Security，Graduate School of Chinese Academy of Sciences，Beijing 100039，Institute of Mathematics and Information Security，Guangzhou Teachers College，Guangzhou 510400，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Guangdong Province. |
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| 摘 要： | An authentication-secrecy code based on the rational normal curves over finite fields was constructed,whose probabilities of successful deception achieve their information-theoretic bounds.The set of encoding rules for this code is a representation system for cosets of a certain subgroup in the projective transformation group.A special case is studied,i.e.the rational normal curves are the conies over finite fields.The representation system for the cosets which determines the set of encoding rules will be given.
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Authentication-secrecy code based on conies over finite fields |
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| PEI Dingyi and WANG Xueli. Authentication-secrecy code based on conies over finite fields[J]. Science in China(Technological Sciences), 1996, 0(5) |
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| Authors: | PEI Dingyi and WANG Xueli |
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| Abstract: | An authentication-secrecy code based on the rational normal curves over finite fields was constructed,whose probabilities of successful deception achieve their information-theoretic bounds.The set of encoding rules for this code is a representation system for cosets of a certain subgroup in the projective transformation group.A special case is studied,i.e.the rational normal curves are the conies over finite fields.The representation system for the cosets which determines the set of encoding rules will be given. |
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| Keywords: | authentication code information-theoretic bound conic finite field. |
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