MinT - Information on Result #1063186

Information on Result #1063186

Linear OOA(3¹⁴⁴, 82, F₃, 4, 46) (dual of [(82, 4), 184, 47]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁴⁴, 164, F₃, 2, 46) (dual of [(164, 2), 184, 47]-NRT-code), using

trace code [i] based on linear OOA(9⁷², 82, F₉, 2, 46) (dual of [(82, 2), 92, 47]-NRT-code), using
- constructionÂ X applied to AG(2;F,99P) âŠ‚ AG(2;F,109P) [i] based on
  1. linear OOA(9⁶³, 73, F₉, 2, 46) (dual of [(73, 2), 83, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,99P) [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(9⁵³, 73, F₉, 2, 36) (dual of [(73, 2), 93, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,109P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(9⁹, 9, F₉, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;9,9) [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.