MinT - Information on Result #981033

Information on Result #981033

Linear OOA(8⁷⁵, 44, F₈, 3, 39) (dual of [(44, 3), 57, 40]-NRT-code), using OOA 2-folding based on linear OOA(8⁷⁵, 88, F₈, 2, 39) (dual of [(88, 2), 101, 40]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8⁷⁵, 89, F₈, 2, 39) (dual of [(89, 2), 103, 40]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8²², 24, F₈, 2, 19) (dual of [(24, 2), 26, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,28P) [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(8⁵³, 65, F₈, 2, 39) (dual of [(65, 2), 77, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,90P) [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.