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Generalized partially bent functions

2005/12/10 by Jianqin Zhou, Zhou, Jianqin
Computer Science · Engineering · Medicine · #Cancer Mechanisms and Therapy #Coding theory and cryptography #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #cs.CR #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.cs/0512041

7 pages

arxiv created 2005/12/10 · openalex publication_date 2005/12/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on the definition of generalized partially bent functions, using the theory of linear transformation, the relationship among generalized partially bent functions over ring Z N, generalized bent functions over ring Z N and affine functions is discussed. When N is a prime number, it is proved that a generalized partially bent function can be decomposed as the addition of a generalized bent function and an affine function. The result obtained here generalizes the main works concerning partially bent functions by Claud Carlet in [1].

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