摘要

詳細敘述了算法中S盒的構造,并給出了其C語言實現的程序代碼.S盒由有限域G F(28)上所有元素的乘法逆元及在域G F(2)上的仿射變換構成,經過S盒的非線性字節代換,密文的差分均勻性和線性偏差都達到較理想的狀態,提高了A E S算法抗擊差分密碼分析及線性密碼分析的能力.在A E S算法中,N r輪的加密過程都要對狀態矩陣中的字節求其在有限域G F(28)上的乘法逆元和作G F(2)上的仿射變換,這些都要多次用到大運算量的非線性字節變換操作,為此可以通過一定的算法先算出G F(28)上所有元素的乘法逆元并作相應的仿射變換以形成對字節代換的代換表,即S盒,然后通過查表的方法進行加密過程中的字節代換,從而縮短明文的加密時間,提高A E S加密算法的整體效率.

The paper described detailedly the construction of S box in AES and gave its source program code of C language. The S box was constituted with the multiplication inverse element affined transformation in GF(2) of all elements of limited field GF(28),with S box 's nonlinear byte changed,ciphered text attained the ideal status of the even of difference and the linear of deviation,and increased the capability of the AES algorithm of anti beating the difference cipher of analysis and linear cipher of analysis. In AES algorithm,the round of Nr of encipher procedure must compute the multiplication inverse element in limited field GF(28) and affined transformation in GF(2) to the byte of the status matrix,and these all needed to use many times the big quantity transform operation of nonlinear byte,for this,through the certain algorithm to calculate multiplication inverse element of all elements of the GF(28) and affined transformation forming the generation changes table to byte generation changes,it's S box,then through the method of the looking table to finish the byte generation changes of encrypt proceed,thereby shortened the encipher time of the plain text and increased the whole efficiency of AES encrypt algorithm.

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