MinT - Information on Result #2721519

Information on Result #2721519

Linear OOA(8¹⁶⁸, 158, F₈, 3, 99) (dual of [(158, 3), 306, 100]-NRT-code), using strength reduction based on linear OOA(8¹⁶⁸, 158, F₈, 3, 100) (dual of [(158, 3), 306, 101]-NRT-code), using

constructionÂ X applied to AG(3;F,328P) âŠ‚ AG(3;F,350P) [i] based on
1. linear OOA(8¹⁴⁵, 143, F₈, 3, 100) (dual of [(143, 3), 284, 101]-NRT-code), using algebraic-geometric NRT-code AG(3;F,328P) [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(8¹²³, 143, F₈, 3, 78) (dual of [(143, 3), 306, 79]-NRT-code), using algebraic-geometric NRT-code AG(3;F,350P) [i] based on function field F/F₈ with g(F) = 45 and N(F) ≥ 144 (see above)
3. linear OOA(8²³, 15, F₈, 3, 21) (dual of [(15, 3), 22, 22]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8²³, 17, F₈, 3, 21) (dual of [(17, 3), 28, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₈ with g(F) = 2 and N(F) ≥ 17, using
      - a function field by SÃ©mirat [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.