• Yan-Wen Chen student https://orcid.org/0000-0002-0961-6157
  • Jeng-Jung Wang Department of Information Engineering I-Shou University, Kaohsiung, Taiwan 84008, Republic of China. https://orcid.org/0000-0001-9424-4177
  • Yan-Haw Chen Department of Information Engineering I-Shou University, Kaohsiung, Taiwan 84008, Republic of China.
  • Chong-Dao Lee Department of Information Engineering I-Shou University, Kaohsiung, Taiwan 84008, Republic of China.




Involutory Matrix, Dynamic Matrix, Finite Field, Horner Rule, Mixcolumns, Multiplication.


In AES MixColumns operation, the branch number of circulant matrix is raised from 5 to 9 with 8´8 circulant matrices that can be enhancing the diffusion power. An efficient method to compute the circulant matrices in AES MixColumns transformation for speeding encryption is presented. Utilizing 8´8 involutory matrix multiplication is required 64 multiplications and 56 additions in in AES Mix-Columns transformation. We proposed the method with diversity 8´8 circulant matrices is only needed 19 multiplications and 57 additions. It is not only to encryption operations but also to decryption operations. Therefore, 8´8 circlant matrix operation with AES key sizes of 128bits, 192bits, and 256 bits are above 29.1%, 29.3%, and 29.8% faster than using 4´4 involutory matrix operation (16 multiplications, 12 additions), respectively. 8´8 circulant matrix encryption/decryption speed is above 78% faster than 8´8 involutory matrix operation. Ultimately, the proposed method for evaluating matrix multiplication can be made regular, simple and suitable for software implementations on embedded systems.


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How to Cite

Chen, Y.-W., Wang, J.-J., Chen, Y.-H., & Lee, C.-D. (2021). DIVERSITY AES IN MIXCOLUMNS STEP WITH 8X8 CIRCULANT MATRIX. International Journal of Engineering Technologies and Management Research, 8(9), 19–35. https://doi.org/10.29121/ijetmr.v8.i9.2021.1037