MinT - Information on Result #992715

Information on Result #992715

Linear OOA(128⁴⁰, 214, F₁₂₈, 3, 21) (dual of [(214, 3), 602, 22]-NRT-code), using OOA 2-folding based on linear OOA(128⁴⁰, 428, F₁₂₈, 2, 21) (dual of [(428, 2), 816, 22]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(128⁴⁰, 429, F₁₂₈, 2, 21) (dual of [(429, 2), 818, 22]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(128⁷, 129, F₁₂₈, 2, 7) (dual of [(129, 2), 251, 8]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;251,128) [i]
  2. linear OOA(128¹¹, 150, F₁₂₈, 2, 10) (dual of [(150, 2), 289, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,289P) [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(128²², 150, F₁₂₈, 2, 21) (dual of [(150, 2), 278, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,278P) [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.