MinT - Information on Result #974361

Information on Result #974361

Linear OOA(5¹⁴⁰, 151, F₅, 3, 47) (dual of [(151, 3), 313, 48]-NRT-code), using OOA 2-folding based on linear OOA(5¹⁴⁰, 302, F₅, 2, 47) (dual of [(302, 2), 464, 48]-NRT-code), using

trace code [i] based on linear OOA(25⁷⁰, 151, F₂₅, 2, 47) (dual of [(151, 2), 232, 48]-NRT-code), using
- constructionÂ X applied to AG(2;F,246P) âŠ‚ AG(2;F,251P) [i] based on
  1. linear OOA(25⁶⁶, 147, F₂₅, 2, 47) (dual of [(147, 2), 228, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,246P) [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OOA(25⁶¹, 147, F₂₅, 2, 42) (dual of [(147, 2), 233, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,251P) [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148 (see above)
  3. linear OOA(25⁴, 4, F₂₅, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(25⁴, 25, F₂₅, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;46,25) [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.