MinT - Information on Result #2475591

Information on Result #2475591

Linear OOA(8⁶⁴, 33, F₈, 2, 58) (dual of [(33, 2), 2, 59]-NRT-code), using 9 step truncation based on linear OOA(8⁷³, 38, F₈, 2, 67) (dual of [(38, 2), 3, 68]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8²⁵, 14, F₈, 2, 24) (dual of [(14, 2), 3, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OOA(8⁴⁵, 24, F₈, 2, 42) (dual of [(24, 2), 3, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
    - the Klein quartic over F₈ [i]

Mode: Constructive and 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.