MinT - Information on Result #992622

Information on Result #992622

Linear OOA(128³⁶, 214, F₁₂₈, 3, 19) (dual of [(214, 3), 606, 20]-NRT-code), using OOA 2-folding based on linear OOA(128³⁶, 428, F₁₂₈, 2, 19) (dual of [(428, 2), 820, 20]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(128³⁶, 429, F₁₂₈, 2, 19) (dual of [(429, 2), 822, 20]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(128⁶, 129, F₁₂₈, 2, 6) (dual of [(129, 2), 252, 7]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;252,128) [i]
  2. linear OOA(128¹⁰, 150, F₁₂₈, 2, 9) (dual of [(150, 2), 290, 10]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,290P) [i] based on function field F/F₁₂₈ with g(F) = 1 and N(F) ≥ 150, using
      - a function field by SÃ©mirat [i]
  3. linear OOA(128²⁰, 150, F₁₂₈, 2, 19) (dual of [(150, 2), 280, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,280P) [i] based on function field F/F₁₂₈ with g(F) = 1 and N(F) ≥ 150 (see above)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.