MinT - Information on Result #1566988

Information on Result #1566988

Linear OOA(128⁶⁸, 515, F₁₂₈, 3, 41) (dual of [(515, 3), 1477, 42]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(128⁶⁸, 515, F₁₂₈, 2, 41) (dual of [(515, 2), 962, 42]-NRT-code), using

constructionÂ X applied to AG(2;F,982P) âŠ‚ AG(2;F,986P) [i] based on
1. linear OOA(128⁶⁵, 512, F₁₂₈, 2, 41) (dual of [(512, 2), 959, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,982P) [i] based on function field F/F₁₂₈ with g(F) = 24 and N(F) ≥ 513, using
  - a curve from the manYPoints database [i]
2. linear OOA(128⁶¹, 512, F₁₂₈, 2, 37) (dual of [(512, 2), 963, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,986P) [i] based on function field F/F₁₂₈ with g(F) = 24 and N(F) ≥ 513 (see above)
3. linear OOA(128³, 3, F₁₂₈, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(128³, 128, F₁₂₈, 2, 3) (dual of [(128, 2), 253, 4]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;253,128) [i]

Mode: 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.