Acta Metallurgica Sinica(English letters) ›› 2008, Vol. 15 ›› Issue (2): 77-81.doi: 1005-8885 (2008) 02-0077-05

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Constructions of vector output Boolean functions with high generalized nonlinearity

KE Pin-hui, ZHANG Sheng-yuan   

  1. Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fujian 350007, China
  • Received:2007-08-19 Revised:1900-01-01 Online:2008-06-30
  • Contact: KE Pin-hui

Abstract:

Carlet et al. recently introduced generalized nonlinearity to measure the ability to resist the improved correlation attack of a vector output Boolean function. This article presents a construction of vector output Boolean functions with high generalized nonlinearity using the sample space. The relation between the resilient order and generalized nonlinearity is also discussed.

Key words:

Boolean functions;correlation attack;generalized nonlinearity;almost resilient functions

CLC Number: