MinT - Information on Result #1813639

Information on Result #1813639

Digital (19, 48, 389)-net over F₁₂₈, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(128⁴⁸, 389, F₁₂₈, 29) (dual of [389, 341, 30]-code), using

discarding factors / shortening the dual code based on linear OA(128⁴⁸, 394, F₁₂₈, 29) (dual of [394, 346, 30]-code), using
- constructionÂ X applied to AG(F,355P) âŠ‚ AG(F,360P) [i] based on
  1. linear OA(128⁴⁴, 385, F₁₂₈, 29) (dual of [385, 341, 30]-code), using algebraic-geometric code AG(F,355P) [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 OA(128³⁹, 385, F₁₂₈, 24) (dual of [385, 346, 25]-code), using algebraic-geometric code AG(F,360P) [i] based on function field F/F₁₂₈ with g(F) = 15 and N(F) ≥ 386 (see above)
  3. linear OA(128⁴, 9, F₁₂₈, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,128)), using
    - discarding factors / shortening the dual code based on linear OA(128⁴, 128, F₁₂₈, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
      - Reedâ€“Solomon code RS(124,128) [i]

Mode: Linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.