MinT - Information on Result #2720778

Information on Result #2720778

Linear OOA(8¹²⁶, 150, F₈, 3, 70) (dual of [(150, 3), 324, 71]-NRT-code), using strength reduction based on linear OOA(8¹²⁶, 150, F₈, 3, 71) (dual of [(150, 3), 324, 72]-NRT-code), using

constructionÂ X applied to AG(3;F,357P) âŠ‚ AG(3;F,368P) [i] based on
1. linear OOA(8¹¹⁶, 143, F₈, 3, 71) (dual of [(143, 3), 313, 72]-NRT-code), using algebraic-geometric NRT-code AG(3;F,357P) [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(8¹⁰⁵, 143, F₈, 3, 60) (dual of [(143, 3), 324, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,368P) [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.