MinT - Information on Result #2720660

Information on Result #2720660

Linear OOA(8¹¹⁸, 131, F₈, 3, 75) (dual of [(131, 3), 275, 76]-NRT-code), using strength reduction based on linear OOA(8¹¹⁸, 131, F₈, 3, 76) (dual of [(131, 3), 275, 77]-NRT-code), using

constructionÂ X applied to AG(3;F,307P) âŠ‚ AG(3;F,312P) [i] based on
1. linear OOA(8¹¹⁴, 128, F₈, 3, 76) (dual of [(128, 3), 270, 77]-NRT-code), using algebraic-geometric NRT-code AG(3;F,307P) [i] based on function field F/F₈ with g(F) = 38 and N(F) ≥ 129, using
  - a curve from the manYPoints database [i]
2. linear OOA(8¹⁰⁹, 128, F₈, 3, 71) (dual of [(128, 3), 275, 72]-NRT-code), using algebraic-geometric NRT-code AG(3;F,312P) [i] based on function field F/F₈ with g(F) = 38 and N(F) ≥ 129 (see above)
3. linear OOA(8⁴, 3, F₈, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8⁴, 8, F₈, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;20,8) [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.