Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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CONSTRUCTION OF CARTESIAN AUTHENTICATION CODES OVER UNTITRAY GEOMETRY

  • Xu, Wenyan (Inner Mongolia WuLaqub Occupational College) ;
  • Gao, You (College of Science, Civil Aviation University of China)
  • Published : 2009.09.30
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Abstract

A construction of Cartesian authentication codes over unitary geometry is presented and its size parameters are computed. Assuming that the encoding rules are chosen according to a uniform probability distribution, the probabilities of success for different types of attacks are also computed.

Keywords

References

  1. G.J.Simmons, Authentication theory/Coding theory[A], Advances in Cryptology, Proceedings of Crypto 84, Lecture Notes in Computer Science, 196 Springer (1985), 411-431.
  2. Wan ZheXian, Construction of Cartesian authentication codes from unitary geometry[J], Designs, codes and cryptography, 2(1992), 333-356. https://doi.org/10.1007/BF00125202
  3. Li Li, Using non Trivial Idempotent Matrices over Finite Fields to Construct Cartesian Authentication Codes[J], Journal of Mathematics, 17(4)(1997), 487-490.
  4. Zheng Baodong, Construction of Authentication Codes from Involutory Matrix Over Finite Fields[J], Journal of Mathematics, 19(3)(1999),263-269(In Chinese)
  5. YOU Hong and GAO You, Some new constructions of Cartesian authentication codes from symplectic geometry[J], Systems Science and Mathematical Sciences, 7(4)(1994), 317-327.
  6. TAO Yayuan, Construction of Cartesian Authentication Codes from Symplectic Geometry[ J], Journal of Hebei Polytechnic University (Natual Science Edition), 30(1)(2008), 49-53(In Chinese)
  7. Gao Suogang, Two Constructions of Cartesian Authentication Codes from Unitary Geometry[ J], Applied Mathematics A Journal of Chinese University[A], 11(3)(1996), 343-353(In Chinese)
  8. GAO You and TAO Yayuan, Construction of Cartesian Authentication Codes from Alternate Matrices over finite fields[J], Applied Mathematics A Journal of Chinese Universities, 22(4)(2007), 385-390(In Chinese)
  9. Gao Suogang and Li Zengti, A construction of Cartesian authentication code from symplectic geometry[J], Journal of Northeast normal university, 34(4)(2002), 20-25(In Chinese)
  10. Wan ZheXian, Geometry of Classical Groups over Finite Fields (Second Edition)[M], Beijing/New York:Science Press, 2002.