MinT - Information on Result #2490384

Information on Result #2490384

Linear OOA(3¹⁸³, 164, F₃, 2, 65) (dual of [(164, 2), 145, 66]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁸², 164, F₃, 2, 65) (dual of [(164, 2), 146, 66]-NRT-code), using

trace code [i] based on linear OOA(9⁹¹, 82, F₉, 2, 65) (dual of [(82, 2), 73, 66]-NRT-code), using
- constructionÂ X applied to AG(2;F,80P) âŠ‚ AG(2;F,90P) [i] based on
  1. linear OOA(9⁸², 73, F₉, 2, 65) (dual of [(73, 2), 64, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,80P) [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(9⁷², 73, F₉, 2, 55) (dual of [(73, 2), 74, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,90P) [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.