MinT - Information on Result #2475861

Information on Result #2475861

Linear OOA(8¹⁶², 82, F₈, 2, 149) (dual of [(82, 2), 2, 150]-NRT-code), using 11 step truncation based on linear OOA(8¹⁷³, 88, F₈, 2, 160) (dual of [(88, 2), 3, 161]-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(8¹⁴⁵, 74, F₈, 2, 135) (dual of [(74, 2), 3, 136]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(8¹⁵, 9, F₈, 2, 15) (dual of [(9, 2), 3, 16]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;3,8) [i]
    2. linear OOA(8¹²⁷, 65, F₈, 2, 119) (dual of [(65, 2), 3, 120]-NRT-code), using
      - standard lengthening with (d₀,â€¦,d₁)Â = (118,119) [i] based on linear OOA(8¹²⁵, 64, F₈, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field 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.