MinT - Information on Result #2712565

Information on Result #2712565

Linear OOA(3¹⁸⁰, 74, F₃, 3, 112) (dual of [(74, 3), 42, 113]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁰, 74, F₃, 3, 113) (dual of [(74, 3), 42, 114]-NRT-code), using

constructionÂ X applied to AG(3;F,75P) âŠ‚ AG(3;F,90P) [i] based on
1. linear OOA(3¹⁶², 63, F₃, 3, 113) (dual of [(63, 3), 27, 114]-NRT-code), using algebraic-geometric NRT-code AG(3;F,75P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64, using
  - a curve from the manYPoints database [i]
2. linear OOA(3¹⁴⁷, 63, F₃, 3, 98) (dual of [(63, 3), 42, 99]-NRT-code), using algebraic-geometric NRT-code AG(3;F,90P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3¹⁸, 11, F₃, 3, 14) (dual of [(11, 3), 15, 15]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁸, 12, F₃, 3, 14) (dual of [(12, 3), 18, 15]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [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.