MinT - Information on Result #2450994

Information on Result #2450994

Linear OOA(8¹⁶¹, 87, F₈, 2, 132) (dual of [(87, 2), 13, 133]-NRT-code), using strength reduction based on linear OOA(8¹⁶¹, 87, F₈, 2, 133) (dual of [(87, 2), 13, 134]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8³¹, 22, F₈, 2, 28) (dual of [(22, 2), 13, 29]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8³¹, 24, F₈, 2, 28) (dual of [(24, 2), 17, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,19P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
      - the Klein quartic over F₈ [i]
2. linear OOA(8¹¹⁷, 65, F₈, 2, 104) (dual of [(65, 2), 13, 105]-NRT-code), using
  - standard lengthening with (d₀,â€¦,d₁)Â = (103,104) [i] based on linear OOA(8¹¹⁵, 64, F₈, 2, 102) (dual of [(64, 2), 13, 103]-NRT-code), using algebraic-geometric NRT-code AG(2;F,25P) 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.