Bounds for Binary Codes With Narrow Distance Distributions

@article{Roth2007BoundsFB,
  title={Bounds for Binary Codes With Narrow Distance Distributions},
  author={Ron M. Roth and Gadiel Seroussi},
  journal={IEEE Transactions on Information Theory},
  year={2007},
  volume={53},
  pages={2760-2768}
}
New lower bounds are presented on the second moment of the distance distribution of binary codes, in terms of the first moment of the distribution. These bounds are used to obtain upper bounds on the size of codes whose maximum distance is close to their minimum distance. It is then demonstrated how such bounds can be applied to bound from below the… CONTINUE READING