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Volume 29 Issue 1
Jan.  2011
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Zhang Wen-ying, Wu Chuan-kun. The Construction of Multi Out-put Hyper Bent Functions[J]. Journal of Electronics & Information Technology, 2007, 29(1): 197-200. doi: 10.3724/SP.J.1146.2005.00329
Citation: Zhang Wen-ying, Wu Chuan-kun. The Construction of Multi Out-put Hyper Bent Functions[J]. Journal of Electronics & Information Technology, 2007, 29(1): 197-200. doi: 10.3724/SP.J.1146.2005.00329

The Construction of Multi Out-put Hyper Bent Functions

doi: 10.3724/SP.J.1146.2005.00329
  • Received Date: 2005-03-22
  • Rev Recd Date: 2005-08-23
  • Publish Date: 2007-01-19
  • Hyper Bent functions achieve the maximal minimum distance to all the m sequences.In this paper, the relationship between the hyper Bent function on F22m and the Bent function on GF2m(2) is studied and two methods for constructing vectorial hyper Bent functions on Fp2m are proposed as well.
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  • [1] Youssef A M and Gong G. Hyper Bent functions. Eurocrypt'2001, Innsbruck, Austria, May 2001. LNCS2045: 406-419. [2] Gong G and Golomb S W. Tranform Domain Analysis of DES.IEEE Trans. on Information Theroy. 1999, 45(6): 2065-2073. [3] Clarlet C and Caborit P. Hyper-Bent functions and cyclic codes. IEEE International Symposium on Information Theory 2004, Chicago, USA, June: 499-515. [4] Rothous O S. On Bent functions[J].Journal of Combinatorial Theory.1976, 20(A):300-305 [5] Lidl R and Niederreiter H. Finite Fields. 2nd ed, Cambridge, England: Cambridge University Press, 1997: 56-57. [6] 冯登国. 频谱理论及其在密码学中的应用, 北京:科学出版社,2000: 194-195. [7] Dillion J F. Elementary hadamard difference sets. [Ph.D. Thesis], University of Maryland, 1974. [8] Nyberg K. Perfect nonlinear S-boxes[J].Advances in Cryptology-Eurocrypt91, Brighton, UK, April.1991, LNCS 547:378-383
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