MinT - Information on Result #2770152

Information on Result #2770152

Linear OOA(3¹²³, 33, F₃, 4, 98) (dual of [(33, 4), 9, 99]-NRT-code), using strength reduction based on linear OOA(3¹²³, 33, F₃, 4, 99) (dual of [(33, 4), 9, 100]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁷, 9, F₃, 4, 24) (dual of [(9, 4), 9, 25]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²⁷, 10, F₃, 4, 24) (dual of [(10, 4), 13, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,15P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁸⁷, 24, F₃, 4, 74) (dual of [(24, 4), 9, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,21P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [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.