CAJ | 학술논문

通过对素数元旋转对称弹性布尔函数特征矩阵的研究,给出了其特征矩阵的若干性质,得到了素数元旋转对称布尔函数为弹性函数的一个充要条件,由此完全决定了旋转对称弹性函数的构造以及这类函数的精确计数公式,最后还给出了所有的三元、五元、七元旋转对称弹性布尔函数的构造方案与精确计数.
통과대소수원선전대칭탄성포이함수특정구진적연구,급출료기특정구진적약간성질,득도료소수원선전대칭포이함수위탄성함수적일개충요조건,유차완전결정료선전대칭탄성함수적구조이급저류함수적정학계수공식,최후환급출료소유적삼원、오원、칠원선전대칭탄성포이함수적구조방안여정학계수.
@@@@The characteristic matrix of the resilient rotation symmetric Boolean functions (RSBF) with prime number variables were explored. Some properties about characteristic matrix of them were given. A necessary and sufficient con-dition on the construction of resilient RSBF with prime number variables was derived. So construction and count formula of all the resilient RSBF with prime number variables were determined by this way. At last, all the resilient RSBF with 3, 5 or 7 variables were given.