MinT - Information on Result #2772912

Information on Result #2772912

Linear OOA(3¹⁸¹, 51, F₃, 4, 130) (dual of [(51, 4), 23, 131]-NRT-code), using strength reduction based on linear OOA(3¹⁸¹, 51, F₃, 4, 131) (dual of [(51, 4), 23, 132]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁹, 23, F₃, 4, 56) (dual of [(23, 4), 23, 57]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁶⁹, 24, F₃, 4, 56) (dual of [(24, 4), 27, 57]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,39P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
2. linear OOA(3⁸⁹, 28, F₃, 4, 74) (dual of [(28, 4), 23, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,37P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [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.