• 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.
Keywords: 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