MinT - Information on Result #1064436

Information on Result #1064436

Linear OOA(3¹⁸², 84, F₃, 4, 63) (dual of [(84, 4), 154, 64]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁸², 168, F₃, 2, 63) (dual of [(168, 2), 154, 64]-NRT-code), using

trace code [i] based on linear OOA(9⁹¹, 84, F₉, 2, 63) (dual of [(84, 2), 77, 64]-NRT-code), using
- constructionÂ X applied to AG(2;F,82P) âŠ‚ AG(2;F,93P) [i] based on
  1. linear OOA(9⁸⁰, 73, F₉, 2, 63) (dual of [(73, 2), 66, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,82P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OOA(9⁶⁹, 73, F₉, 2, 52) (dual of [(73, 2), 77, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,93P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(9¹¹, 11, F₉, 2, 10) (dual of [(11, 2), 11, 11]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9¹¹, 16, F₉, 2, 10) (dual of [(16, 2), 21, 11]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,21P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
        a function field by GarcÃa and Quoos [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.