MinT - Information on Result #2721541

Information on Result #2721541

Linear OOA(8¹⁶⁹, 150, F₈, 3, 113) (dual of [(150, 3), 281, 114]-NRT-code), using strength reduction based on linear OOA(8¹⁶⁹, 150, F₈, 3, 114) (dual of [(150, 3), 281, 115]-NRT-code), using

constructionÂ X applied to AG(3;F,314P) âŠ‚ AG(3;F,325P) [i] based on
1. linear OOA(8¹⁵⁹, 143, F₈, 3, 114) (dual of [(143, 3), 270, 115]-NRT-code), using algebraic-geometric NRT-code AG(3;F,314P) [i] based on function field F/F₈ with g(F) = 45 and N(F) ≥ 144, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(8¹⁴⁸, 143, F₈, 3, 103) (dual of [(143, 3), 281, 104]-NRT-code), using algebraic-geometric NRT-code AG(3;F,325P) [i] based on function field F/F₈ with g(F) = 45 and N(F) ≥ 144 (see above)
3. linear OOA(8¹⁰, 7, F₈, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8¹⁰, 8, F₈, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;14,8) [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.