MinT - Information on Result #2721060

Information on Result #2721060

Linear OOA(8¹⁴⁴, 146, F₈, 3, 94) (dual of [(146, 3), 294, 95]-NRT-code), using strength reduction based on linear OOA(8¹⁴⁴, 146, F₈, 3, 95) (dual of [(146, 3), 294, 96]-NRT-code), using

constructionÂ X applied to AG(3;F,333P) âŠ‚ AG(3;F,338P) [i] based on
1. linear OOA(8¹⁴⁰, 143, F₈, 3, 95) (dual of [(143, 3), 289, 96]-NRT-code), using algebraic-geometric NRT-code AG(3;F,333P) [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(8¹³⁵, 143, F₈, 3, 90) (dual of [(143, 3), 294, 91]-NRT-code), using algebraic-geometric NRT-code AG(3;F,338P) [i] based on function field F/F₈ with g(F) = 45 and N(F) ≥ 144 (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.