MinT - Information on Result #2450559

Information on Result #2450559

Linear OOA(8¹⁴³, 75, F₈, 2, 123) (dual of [(75, 2), 7, 124]-NRT-code), using strength reduction based on linear OOA(8¹⁴³, 75, F₈, 2, 124) (dual of [(75, 2), 7, 125]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8¹³, 10, F₈, 2, 12) (dual of [(10, 2), 7, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8¹³, 14, F₈, 2, 12) (dual of [(14, 2), 15, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,15P) [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(8¹²³, 65, F₈, 2, 111) (dual of [(65, 2), 7, 112]-NRT-code), using
  - standard lengthening with (d₀,â€¦,d₁)Â = (110,111) [i] based on linear OOA(8¹²¹, 64, F₈, 2, 109) (dual of [(64, 2), 7, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) 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.