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各阶欺骗概率相等的最优认证码 被引量:1

OPTIMAL AUTHENTICATION CODES WITH EQUAL CHEATING PROBABILITIES OF ALL ORDERS
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摘要 本文研究各阶欺骗概率相等的、一般阶的最优认证码的构造.利用有限域上高次抛物线、M-序列和线性校验办法分别构造了一类保密最优认证码和两类Cartesian最优认证码. In this paper the construction of optimal authentication codes with equal cheat- ing probabilities of all orders is studied. A class of optimal secrecy-authentication codes from parabola of higher degree and two classes of optimal Cartesian authentication codes from M-sequence and linear parity over finite fields are constructed.
作者 胡磊 裴定一
出处 《应用数学学报》 CSCD 北大核心 2002年第1期43-48,共6页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(90104034)号 广东省自然科学基金(990336号)
关键词 最优认证码 欺骗概率 高次抛物线 M-序列 线性校验 Auhentication code, cheating probability, parabola of higher degree, M-sequence, linear parity
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参考文献2

  • 1王也箐.用平面曲线构造认证码.密码学进展--CHINACRYPT'92[M].北京:科学出版社,1992.74-76.
  • 2万哲先.代数和编码(第二版)[M].北京:科学出版社,1985..

同被引文献6

  • 1Gilbert E N, MacWilliams F J, and Stoane N J A. Codes which detect deception. The Bell System Technical Journal, 1974, 53(3): 405-424.
  • 2Simmons G J. Authentication theory/coding theory,Advances in Cryptology. In: Proc. Crypto'84. Berlin: Springer-Verlag, 1984: 411-431.
  • 3Wan Zhexian. Further constructions of Cartesian authentication codes from symplectic geometry. Northeaster Mathematical Journal, 1992, 8(1): 4-20.
  • 4Pei Dingyi. A problem of combinatorial designs related to authentication codes. Journal of Combinatorial Designs, 1998, 6(6): 417-429.
  • 5Stinson D R. Combinatorial characterizations of authentication codes. Designs, Codes and Cryptography, 1992, 2(2): 175-187.
  • 6Pei Dingyi. A problem of combinatorial designs related to authentication codes. Journal of Combinatorial Design, 1998, 6: 417-429.

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