MinT - Information on Result #981891

Information on Result #981891

Linear OOA(8¹⁰⁶, 56, F₈, 3, 54) (dual of [(56, 3), 62, 55]-NRT-code), using OOA 2-folding based on linear OOA(8¹⁰⁶, 112, F₈, 2, 54) (dual of [(112, 2), 118, 55]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8¹⁰⁶, 113, F₈, 2, 54) (dual of [(113, 2), 120, 55]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8³⁸, 48, F₈, 2, 27) (dual of [(48, 2), 58, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,68P) [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
      - a function field by SÃ©mirat [i]
  2. linear OOA(8⁶⁸, 65, F₈, 2, 54) (dual of [(65, 2), 62, 55]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,75P) [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.