Isometry-dual flags of AG codes

  title={Isometry-dual flags of AG codes},
  author={M. Bras-Amor{\'o}s and Iwan M. Duursma and E. Hong},
  journal={Designs, Codes and Cryptography},
  • M. Bras-Amorós, Iwan M. Duursma, E. Hong
  • Published 2020
  • Mathematics, Computer Science
  • Designs, Codes and Cryptography
  • Consider a complete flag $$\{0\} = C_0< C_1< \cdots < C_n = \mathbb {F}^n$$ { 0 } = C 0 < C 1 < ⋯ < C n = F n of one-point AG codes of length n over the finite field $$\mathbb {F}$$ F . The codes are defined by evaluating functions with poles at a given point Q in points $$P_1,\dots ,P_n$$ P 1 , ⋯ , P n distinct from Q . A flag has the isometry-dual property if the given flag and the corresponding dual flag are the same up to isometry. For several curves, including the projective line… CONTINUE READING
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