一类二次APN函数的Walsh谱
일류이차APN함수적Walsh보
Walsh Spectrum of a Class of Quadratic APN Functions
  • 万方数据
    湖北工程学院学报 호북공정학원학보
    JOURNAL OF XIAOGAN UNIVERSITY
    2015年 3期 78-81 ,共4页

    谢涛%陈芬%朱志锋

    사도%진분%주지봉

    Walsh谱%APN函数%二次函数 Walsh譜%APN函數%二次函數
    Walsh보%APN함수%이차함수
    Walsh spectrum%APN function%quadratic function
    讨论了一类二次函数的Walsh谱，借助线性化多项式的性质和等量代换技巧，将Walsh谱值的计算问题归结为一类线性化多项式的核子空间维数的求解问题，发现该二次函数的Walsh谱与 Gold函数的Walsh谱相同。
    토론료일류이차함수적Walsh보，차조선성화다항식적성질화등량대환기교，장Walsh보치적계산문제귀결위일류선성화다항식적핵자공간유수적구해문제，발현해이차함수적Walsh보여 Gold함수적Walsh보상동。
    T his paper discusses the Walsh spectrum of a class of quadratic functions .By using the prop‐erties of linearized polynomials and the techniques of equivalent substitution ,the computation of the Walsh spectrum values is reduced to determine the dimension of the kernel of a class of linearized poly‐nomials .The Walsh spectrum of the quadratic function is found to be the same as that of the Gold function .
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