Proceedings of the Korea Institutes of Information Security and Cryptology Conference (한국정보보호학회:학술대회논문집)

Korea Institute of Information Security and Cryptology (한국정보보호학회)
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Generalized Bent Functions Constructed From Partial Spreads

Partial Spread를 이용한 일반화된 Bent함수

  • Kim, Sunghwan (School of Electrical Engineering and Computer Science Seoul National Univ.) ;
  • Gil, Gang-Mi (School of Electrical Engineering and Computer Science Seoul National Univ.) ;
  • Kim, Kyung-Hee (School of Electrical Engineering and Computer Science Seoul National Univ.) ;
  • No, Jong-Seon (School of Electrical Engineering and Computer Science Seoul National Univ.)
  • Published : 2001.11.01
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Abstract

In this paper, for n = 2m and odd prime p, new generalized bent functions from the finite field F$\_$p$^n$/ to the prime field F$\_$p/ are constructed from the partial spreads for F$\_$p$^n$/. Closed form expressions for the proposed generalized bent functions and their trace transform are derived in the form of the trace functions. The trace expressions for the bent functions and their trace transforms defined on F(equation omitted) constructed by using PS- are also derived.

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