CAJ | 학술논문

旋转对称布尔函数是密码学中有理论和应用价值的一类函数.代数免疫性和平衡性是布尔函数的两个重要的密码学性质.通过级联计算和组合分析的方法,来研究2次旋转对称布尔函数、旋转对称 H 布尔函数的平衡性及代数免疫性,得到2次旋转对称布尔函数平衡性、代数免疫性的条件和结果.这一结果为深入研究旋转对称布尔函数、旋转对称 H 布尔函数的密码学性质打下了一个良好的基础.
선전대칭포이함수시밀마학중유이론화응용개치적일류함수.대수면역성화평형성시포이함수적량개중요적밀마학성질.통과급련계산화조합분석적방법,래연구2차선전대칭포이함수、선전대칭 H 포이함수적평형성급대수면역성,득도2차선전대칭포이함수평형성、대수면역성적조건화결과.저일결과위심입연구선전대칭포이함수、선전대칭 H 포이함수적밀마학성질타하료일개량호적기출.
@@@@Rotation symmetric Boolean function is a class of function with theoretical and practical values in cryptography, and both algebraic immunity and balance are the two important cryptographic properties of Boolean function. By cascade calculation and portfolio analysis, the balance and the algebraic immunity of quadratic rotation symmetric Boolean function and rotation symmetric H Boolean function are studied, and thus the conditions and the results of the balance and algebraic immunity of quadratic rotation symmetric Boolean function are acquired. This achievement lays a fairly good foundation for the further in-depth study of cryptographic properties of rotation symmetric Boolean function and rotation symmetric H Boolean function.