A Matrix Approach for Constructing Quadratic APN Functions

@article{Yu2013AMA,
  title={A Matrix Approach for Constructing Quadratic APN Functions},
  author={Yuyin Yu and Mingsheng Wang and Yongqiang Li},
  journal={Des. Codes Cryptography},
  year={2013},
  volume={73},
  pages={587-600}
}
We find a one to one correspondence between quadratic APN functions without linear or constant terms and a special kind of matrices (We call such matrices as QAMs). Based on the nice mathematical structures of the QAMs, we have developed efficient algorithms to construct quadratic APN functions. On F27 , we have found more than 470 classes of new CCZ-inequivalent quadratic APN functions, which is 20 times more than the known ones. Before this paper, there are only 23 classes of CCZ-inequivalent… CONTINUE READING
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