MinT - Information on Result #2627441

Information on Result #2627441

Linear OOA(3²²³, 78, F₃, 3, 159) (dual of [(78, 3), 11, 160]-NRT-code), using strength reduction based on linear OOA(3²²³, 78, F₃, 3, 160) (dual of [(78, 3), 11, 161]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁵, 22, F₃, 3, 42) (dual of [(22, 3), 11, 43]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵⁵, 24, F₃, 3, 42) (dual of [(24, 3), 17, 43]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,29P) [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(3¹⁵⁷, 56, F₃, 3, 117) (dual of [(56, 3), 11, 118]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷³, 28, F₃, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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.