MinT - Information on Result #2721558

Information on Result #2721558

Linear OOA(8¹⁷⁰, 146, F₈, 3, 120) (dual of [(146, 3), 268, 121]-NRT-code), using strength reduction based on linear OOA(8¹⁷⁰, 146, F₈, 3, 121) (dual of [(146, 3), 268, 122]-NRT-code), using

constructionÂ X applied to AG(3;F,307P) âŠ‚ AG(3;F,312P) [i] based on
1. linear OOA(8¹⁶⁶, 143, F₈, 3, 121) (dual of [(143, 3), 263, 122]-NRT-code), using algebraic-geometric NRT-code AG(3;F,307P) [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(8¹⁶¹, 143, F₈, 3, 116) (dual of [(143, 3), 268, 117]-NRT-code), using algebraic-geometric NRT-code AG(3;F,312P) [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.