CAJ | 학술논문

递归扩散层是一种新型的密码函数线性扩散层，具有良好的结构特征，能达到最优扩散层的效果，但其构造函数中的参数比较复杂，搜索空间也较大。为此，对递归扩散层的结构特点进行分析，从低阶扩散层的结构出发，结合最优扩散层的相关理论基础，得到递归扩散层的一般性结论，在此基础上设计权值系数计算方法，并通过仿真实现得到部分低阶递归扩散层的构造函数。分析结果表明，该方法构造的扩散层只需要少数的XOR运算、旋转运算和简单的求反运算，满足最优扩散层的性质，具有较好的安全特性。
체귀확산층시일충신형적밀마함수선성확산층，구유량호적결구특정，능체도최우확산층적효과，단기구조함수중적삼수비교복잡，수색공간야교대。위차，대체귀확산층적결구특점진행분석，종저계확산층적결구출발，결합최우확산층적상관이론기출，득도체귀확산층적일반성결론，재차기출상설계권치계수계산방법，병통과방진실현득도부분저계체귀확산층적구조함수。분석결과표명，해방법구조적확산층지수요소수적XOR운산、선전운산화간단적구반운산，만족최우확산층적성질，구유교호적안전특성。
Recursive diffusion layer is a new type of cryptographic linear diffusion layer. It has good structure characteristics,and can achieve the optimal effect of diffusion layer. It is more complex in the concrete implementation process because its function structure parameters in the search space is large. It seriously impacts on its cryptographic function in the actual application ability. After analyzing the structure and the lower order based on the structure of the diffusion layer,and combining with the optimal diffusion layer of relevant theoretical basis,this paper gets some general conclusions of recursive diffusion layer,and based on this,it gives a method to design the recursive diffusion layer and puts forward a scheme to improve the coefficient’s implementation of recursive diffusion layer. By the simulation realization,it gets the results of recursive diffusion layer’ s structure in low order. The diffusion layer only needs a few XOR operation, rotating operations and some simple complementation operations,and it has a better security character.