In order to improve the security of image encryption algorithm and reduce the number of Latin square used in en-cryption,this paper proposed a novel image encryption algorithm based on complete Latin square.First of all,this algorithm used XOR operator with Latin square and the matrix of gray value of image to improve the security.Complete Latin square had similar property with orthogonal Latin square,therefore it reduced the number of Latin square in the encryption by used the property to scrambling the pixel position of image.Simulation results and parameter analysis indicate that this encryption algo-rithm has attractive security performance and perfect effect of encryption and decryption.This algorithm is one kind of lossless encryption algorithm.Compared with orthogonal Latin square encryption scheme,this algorithm has more extensive scope of application,and higher security.%为了提高图像加密算法的安全性和减少加密中使用的拉丁方数量，提出了一种新的基于完备拉丁方的图像加密算法。通过拉丁方与图像的灰度值矩阵进行异或运算，以提高安全性；再利用完备拉丁方扩展后的矩阵与正交拉丁方对相似这一性质，进行图像的像素位置置乱，减少加密过程中使用的拉丁方数量。仿真结果和参数分析表明，该加密算法安全性好，加密和解密效果理想，属于一种无损加密算法。同正交拉丁方加密方案相比，算法的适用范围更加广泛，安全性更高。
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