• Title/Summary/Keyword: Extended Walsh transform

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MACWILLIAMS-TYPE IDENTITIES ON VECTORIAL BOOLEAN FUNCTIONS WITH BENT COMPONENTS AND APPLICATIONS

  • Jong Yoon Hyun
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.3
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    • pp.561-574
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    • 2023
  • In this paper, we focus on establishing the MacWilliams-type identities on vectorial Boolean functions with bent component functions. As their applications, we provide a bound for the non-existence of vectorial dual-bent functions with prescribed minimum degree, and several Gleason-type theorems are presented as well.