MinT - Information on Result #2450600

Information on Result #2450600

Linear OOA(8¹⁴⁵, 78, F₈, 2, 120) (dual of [(78, 2), 11, 121]-NRT-code), using strength reduction based on linear OOA(8¹⁴⁵, 78, F₈, 2, 121) (dual of [(78, 2), 11, 122]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8¹⁵, 13, F₈, 2, 14) (dual of [(13, 2), 11, 15]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8¹⁵, 14, F₈, 2, 14) (dual of [(14, 2), 13, 15]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,13P) [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(8¹¹⁹, 65, F₈, 2, 106) (dual of [(65, 2), 11, 107]-NRT-code), using
  - standard lengthening with (d₀,â€¦,d₁)Â = (105,106) [i] based on linear OOA(8¹¹⁷, 64, F₈, 2, 104) (dual of [(64, 2), 11, 105]-NRT-code), using algebraic-geometric NRT-code AG(2;F,23P) 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.