MinT - Information on Result #2722827

Information on Result #2722827

Linear OOA(9¹⁴³, 186, F₉, 3, 85) (dual of [(186, 3), 415, 86]-NRT-code), using strength reduction based on linear OOA(9¹⁴³, 186, F₉, 3, 86) (dual of [(186, 3), 415, 87]-NRT-code), using

constructionÂ X applied to AG(3;F,456P) âŠ‚ AG(3;F,464P) [i] based on
1. linear OOA(9¹³⁶, 181, F₉, 3, 86) (dual of [(181, 3), 407, 87]-NRT-code), using algebraic-geometric NRT-code AG(3;F,456P) [i] based on function field F/F₉ with g(F) = 50 and N(F) ≥ 182, using
  - a curve from the manYPoints database [i]
2. linear OOA(9¹²⁸, 181, F₉, 3, 78) (dual of [(181, 3), 415, 79]-NRT-code), using algebraic-geometric NRT-code AG(3;F,464P) [i] based on function field F/F₉ with g(F) = 50 and N(F) ≥ 182 (see above)
3. linear OOA(9⁷, 5, F₉, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9⁷, 9, F₉, 3, 7) (dual of [(9, 3), 20, 8]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;20,9) [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.