MinT - Information on Result #2772713

Information on Result #2772713

Linear OOA(3¹⁷⁸, 50, F₃, 4, 128) (dual of [(50, 4), 22, 129]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁸, 50, F₃, 4, 129) (dual of [(50, 4), 22, 130]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁶, 22, F₃, 4, 53) (dual of [(22, 4), 22, 54]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁶⁶, 24, F₃, 4, 53) (dual of [(24, 4), 30, 54]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,42P) [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(3⁹⁰, 28, F₃, 4, 75) (dual of [(28, 4), 22, 76]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,36P) [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.