Improved Constructions of Nested Code Pairs

  title={Improved Constructions of Nested Code Pairs},
  author={C. Galindo and O. Geil and F. Hernando and D. Ruano},
  journal={IEEE Transactions on Information Theory},
  • C. Galindo, O. Geil, +1 author D. Ruano
  • Published 2018
  • Mathematics, Computer Science
  • IEEE Transactions on Information Theory
  • Two new constructions of linear code pairs <inline-formula> <tex-math notation="LaTeX">$C_{2} \subset C_{1}$ </tex-math></inline-formula> are given for which the codimension and the relative minimum distances <inline-formula> <tex-math notation="LaTeX">$M_{1}(C_{1},C_{2})$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$M_{1}(C_{\vphantom {R_{j}}2}^\perp,C_{1}^\perp)$ </tex-math></inline-formula> are good. By this, we mean that for any two out of the three… CONTINUE READING
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