MinT - Information on Result #2451049

Information on Result #2451049

Linear OOA(8¹⁶³, 86, F₈, 2, 138) (dual of [(86, 2), 9, 139]-NRT-code), using strength reduction based on linear OOA(8¹⁶³, 86, F₈, 2, 139) (dual of [(86, 2), 9, 140]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8³³, 21, F₈, 2, 30) (dual of [(21, 2), 9, 31]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8³³, 24, F₈, 2, 30) (dual of [(24, 2), 15, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,17P) [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(8¹²¹, 65, F₈, 2, 108) (dual of [(65, 2), 9, 109]-NRT-code), using
  - standard lengthening with (d₀,â€¦,d₁)Â = (107,108) [i] based on linear OOA(8¹¹⁹, 64, F₈, 2, 106) (dual of [(64, 2), 9, 107]-NRT-code), using algebraic-geometric NRT-code AG(2;F,21P) 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.