MinT - Information on Result #2707468

Information on Result #2707468

OOA(64⁹⁰, 290, S₆₄, 3, 63), using strength reduction based on OOA(64⁹⁰, 290, S₆₄, 3, 64), using

discarding parts of the base [i] based on linear OOA(128⁷⁷, 290, F₁₂₈, 3, 64) (dual of [(290, 3), 793, 65]-NRT-code), using
- constructionÂ X applied to AG(3;F,796P) âŠ‚ AG(3;F,801P) [i] based on
  1. linear OOA(128⁷³, 287, F₁₂₈, 3, 64) (dual of [(287, 3), 788, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,796P) [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288, using
    - a function field by SÃ©mirat [i]
  2. linear OOA(128⁶⁸, 287, F₁₂₈, 3, 59) (dual of [(287, 3), 793, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,801P) [i] based on function field F/F₁₂₈ with g(F) = 9 and N(F) ≥ 288 (see above)
  3. linear OOA(128⁴, 3, F₁₂₈, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(128⁴, 128, F₁₂₈, 3, 4) (dual of [(128, 3), 380, 5]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;380,128) [i]

Mode: Constructive.

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.