Some New Results on Optimal Codes Over F5

@article{Bouyukliev2003SomeNR,
  title={Some New Results on Optimal Codes Over F5},
  author={Iliya Bouyukliev and Juriaan Simonis},
  journal={Des. Codes Cryptography},
  year={2003},
  volume={30},
  pages={97-111}
}
We present some results on almost maximum distance separable (AMDS) codes and Griesmer codes of dimension 4 over F5. We prove that no AMDS code of length 13 and minimum distance 5 exists, and we give a classification of some AMDS codes. Moreover, we classify the projective strongly optimal Griesmer codes over F5 of dimension 4 for some values of the minimum distance.