The Weight Distributions of Cyclic Codes and Elliptic Curves

@article{Wang2012TheWD,
  title={The Weight Distributions of Cyclic Codes and Elliptic Curves},
  author={Baocheng Wang and Chunming Tang and Yanfeng Qi and Yixian Yang and Maozhi Xu},
  journal={IEEE Transactions on Information Theory},
  year={2012},
  volume={58},
  pages={7253-7259}
}
Cyclic codes with two zeros and their dual codes as a practically and theoretically interesting class of linear codes have been studied for many years and find many applications. The determination of the weight distributions of such codes is an open problem. Generally, the weight distributions of cyclic codes are difficult to determine. Utilizing a class of elliptic curves, this paper determines the weight distributions of dual codes of q-ary cyclic codes with two zeros for a few more cases… CONTINUE READING

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