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[Author] Yueying LOU(1hit)

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  • Search for 9-Variable Boolean Functions with the Optimal Algebraic Immunity-Resiliency Trade-Off and High Nonlinearity Open Access

    Yueying LOU  Qichun WANG  

     
    LETTER-Cryptography and Information Security

      Pubricized:
    2024/03/28
      Vol:
    E107-A No:8
      Page(s):
    1382-1385

    Boolean functions play an important role in symmetric ciphers. One of important open problems on Boolean functions is determining the maximum possible resiliency order of n-variable Boolean functions with optimal algebraic immunity. In this letter, we search Boolean functions in the rotation symmetric class, and determine the maximum possible resiliency order of 9-variable Boolean functions with optimal algebraic immunity. Moreover, the maximum possible nonlinearity of 9-variable rotation symmetric Boolean functions with optimal algebraic immunity-resiliency trade-off is determined to be 224.