MinT - Information on Result #2721627

Information on Result #2721627

Linear OOA(8¹⁷³, 160, F₈, 3, 101) (dual of [(160, 3), 307, 102]-NRT-code), using strength reduction based on linear OOA(8¹⁷³, 160, F₈, 3, 102) (dual of [(160, 3), 307, 103]-NRT-code), using

constructionÂ X applied to AG(3;F,326P) âŠ‚ AG(3;F,351P) [i] based on
1. linear OOA(8¹⁴⁷, 143, F₈, 3, 102) (dual of [(143, 3), 282, 103]-NRT-code), using algebraic-geometric NRT-code AG(3;F,326P) [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(8¹²², 143, F₈, 3, 77) (dual of [(143, 3), 307, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,351P) [i] based on function field F/F₈ with g(F) = 45 and N(F) ≥ 144 (see above)
3. linear OOA(8²⁶, 17, F₈, 3, 24) (dual of [(17, 3), 25, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [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.