MinT - Information on Result #2450728

Information on Result #2450728

Linear OOA(8¹⁵¹, 78, F₈, 2, 136) (dual of [(78, 2), 5, 137]-NRT-code), using strength reduction based on linear OOA(8¹⁵¹, 78, F₈, 2, 137) (dual of [(78, 2), 5, 138]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8²¹, 13, F₈, 2, 20) (dual of [(13, 2), 5, 21]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8²¹, 14, F₈, 2, 20) (dual of [(14, 2), 7, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [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(8¹²⁵, 65, F₈, 2, 116) (dual of [(65, 2), 5, 117]-NRT-code), using
  - standard lengthening with (d₀,â€¦,d₁)Â = (115,116) [i] based on linear OOA(8¹²³, 64, F₈, 2, 114) (dual of [(64, 2), 5, 115]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) 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.