On p-ary Bent Functions Defined on Finite Fields 


Vol. 29,  No. 6, pp. 763-769, Jun.  2004


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  Abstract

It is known that a bent function corresponds 10 a perfect nonlinear function, which makes it difficult to do the differential cryptanalysis in DES and in many other block ciphers. In this paper, for an odd prime p. quadratic p-ary bent functions defined on finite fields are given from the families of p-ary sequences with optimal correlation property. And quadratic p-ary bent functions, that is. perfect nonlinear functions from the finite field F pm to its prime field F pare constructed by using the trace functions.

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  Cite this article

[IEEE Style]

Y. Kim, J. Jang, Jong-Seon, "On p-ary Bent Functions Defined on Finite Fields," The Journal of Korean Institute of Communications and Information Sciences, vol. 29, no. 6, pp. 763-769, 2004. DOI: .

[ACM Style]

Young-Sik Kim, Ji-woong Jang, and Jong-Seon. 2004. On p-ary Bent Functions Defined on Finite Fields. The Journal of Korean Institute of Communications and Information Sciences, 29, 6, (2004), 763-769. DOI: .

[KICS Style]

Young-Sik Kim, Ji-woong Jang, Jong-Seon, "On p-ary Bent Functions Defined on Finite Fields," The Journal of Korean Institute of Communications and Information Sciences, vol. 29, no. 6, pp. 763-769, 6. 2004.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880