MinT - Information on Result #1064143

Information on Result #1064143

Linear OOA(3¹⁶⁸, 81, F₃, 4, 59) (dual of [(81, 4), 156, 60]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁶⁸, 162, F₃, 2, 59) (dual of [(162, 2), 156, 60]-NRT-code), using

trace code [i] based on linear OOA(9⁸⁴, 81, F₉, 2, 59) (dual of [(81, 2), 78, 60]-NRT-code), using
- constructionÂ X applied to AG(2;F,86P) âŠ‚ AG(2;F,95P) [i] based on
  1. linear OOA(9⁷⁶, 73, F₉, 2, 59) (dual of [(73, 2), 70, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,86P) [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(9⁶⁷, 73, F₉, 2, 50) (dual of [(73, 2), 79, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,95P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(9⁸, 8, F₉, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁸, 9, F₉, 2, 8) (dual of [(9, 2), 10, 9]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;10,9) [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.