The interplay of different metrics for the construction of constant dimension codes

@article{Kurz2021TheIO,
  title={The interplay of different metrics for the construction of constant dimension codes},
  author={Sascha Kurz},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.07128}
}
  • Sascha Kurz
  • Published 29 July 2021
  • Mathematics, Computer Science
  • ArXiv
A basic problem for constant dimension codes is to determine the maximum possible size $A_q(n,d;k)$ of a set of $k$-dimensional subspaces in $\mathbb{F}_q^n$, called codewords, such that the subspace distance satisfies $d_S(U,W):=2k-2\dim(U\cap W)\ge d$ for all pairs of different codewords $U$, $W$. Constant dimension codes have applications in e.g.\ random linear network coding, cryptography, and distributed storage. Bounds for $A_q(n,d;k)$ are the topic of many recent research papers… Expand

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