MinT - Information on Result #1154077

Information on Result #1154077

Linear OOA(2²²³, 40, F₂, 7, 82) (dual of [(40, 7), 57, 83]-NRT-code), using OOA 2-folding based on linear OOA(2²²³, 80, F₂, 4, 82) (dual of [(80, 4), 97, 83]-NRT-code), using

1 step truncation [i] based on linear OOA(2²²⁴, 81, F₂, 4, 83) (dual of [(81, 4), 100, 84]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(16²⁹, 27, F₁₆, 2, 27) (dual of [(27, 2), 25, 28]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16²⁹, 33, F₁₆, 2, 27) (dual of [(33, 2), 37, 28]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,38P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
        a function field by SÃ©mirat [i]
  2. linear OOA(2², 3, F₂, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;4,2) [i]

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.