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关于有限域上多输出函数的非线性度

On the Nonlinearity of Multi-output Functions Over Finite Field
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摘要 给出了与文献[1]中所定义的有限域上多输出函数的非线性度不同的定义,并指出了它的密码学意义,也讨论了两者之间的关系,丰富了多输出函数方面的成果. A new definition of the nonlinearity of multi-output functions over finite field is proposed,which is different from that in reference[1]. Its cryptographic significance is pointed out. The relationship between the two different kinds of nonlinearities is studied. The results about multi-output functions are enriched.
出处 《太原师范学院学报(自然科学版)》 2006年第4期22-24,共3页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 有限域上多输出函数 仿射函数 非线性度 multi-output function over finite field affine function nonlinearit
  • 相关文献

参考文献3

  • 1常祖领,陈鲁生,符方伟.关于有限域上函数的非线性度[J].南开大学学报(自然科学版),2004,37(3):36-42. 被引量:2
  • 2[2]温巧燕,钮心忻,杨义先.现代密码学中的应用[M].北京:科学出版社,2000
  • 3[4]Nyberg K.On the construction of highly nonlinear permutations[A].Raimer A Rueppel Advances in Cryptology-Eurocypt'92[C].Berlin:Springer-Verlag,1993

二级参考文献12

  • 1Ding C, Xiao G, Shan W. The stability Thoery of Stream Ciphers[M]. Berlin:Springer-Verlag, 1991.
  • 2Nyberg K. On the construction of highly nonlinear permutations[J]. in Advances in Cryptology-EUROCRYPT'92 (Lecture Notes in Computer Science, vol 1658), Berlin:Spring-Verlag, 1993.
  • 3Seberry J, Zhang X M, Zheng Y. "On constructions and nonlinearity of correlation immune functions"[J], in Advance in Cryptology-EUROCRYPT'93 (Lecture Notes in Computer Science, vol.765), Berlin:Springer-Verlage, 1994, 181~199.
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  • 6Chen Lusheng, Fu Fang-Wei. On the constructions of new resilient functions from old ones[J]. IEEE Transactions on Information Theroy, 1999,45(6):2077~2082.
  • 7Ding C, Xiao G, Shan W. The stability Thoery of Stream Ciphers[M]. Berlin:Springer-Verlag, 1991.
  • 8Nyberg K. On the construction of highly nonlinear permutations[J]. in Advances in Cryptology-EUROCRYPT'92 (Lecture Notes in Computer Science, vol 1658), Berlin:Spring-Verlag, 1993.
  • 9Seberry J, Zhang X M, Zheng Y. ''On constructions and nonlinearity of correlation immune functions''[J], in Advance in Cryptology-EUROCRYPT'93 (Lecture Notes in Computer Science, vol.765), Berlin:Springer-Verlage, 1994, 181~199.
  • 10Rothaus O S. On bent functions[J]. Journal of Combinatorial Theory, Series A, 1976, 20(3):300-305.

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