MinT - Information on Result #2724154

Information on Result #2724154

Linear OOA(128⁶⁸, 388, F₁₂₈, 3, 48) (dual of [(388, 3), 1096, 49]-NRT-code), using strength reduction based on linear OOA(128⁶⁸, 388, F₁₂₈, 3, 49) (dual of [(388, 3), 1096, 50]-NRT-code), using

constructionÂ X applied to AG(3;F,1105P) âŠ‚ AG(3;F,1110P) [i] based on
1. linear OOA(128⁶⁴, 385, F₁₂₈, 3, 49) (dual of [(385, 3), 1091, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1105P) [i] based on function field F/F₁₂₈ with g(F) = 15 and N(F) ≥ 386, using
  - a curve from the manYPoints database [i]
2. linear OOA(128⁵⁹, 385, F₁₂₈, 3, 44) (dual of [(385, 3), 1096, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1110P) [i] based on function field F/F₁₂₈ with g(F) = 15 and N(F) ≥ 386 (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: 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.