The Weight Distribution of Quasi-quadratic Residue Codes

@article{Boston2017TheWD,
  title={The Weight Distribution of Quasi-quadratic Residue Codes},
  author={Nigel Boston and Jing Hao},
  journal={Adv. Math. Commun.},
  year={2017},
  volume={12},
  pages={363-385}
}
We investigate a family of codes called quasi-quadratic residue (QQR) codes . We are interested in these codes mainly for two reasons: Firstly, they have close relations with hyperelliptic curves and Goppa's Conjecture, and serve as a strong tool in studying those objects. Secondly, they are very good codes. Computational results show they have large minimum distances when \begin{document}$p\equiv 3 \pmod 8$\end{document} . Our studies focus on the weight distributions of these codes. We will… 

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