MinT - Information on Result #2776086

Information on Result #2776086

Linear OOA(3²²⁹, 59, F₃, 4, 186) (dual of [(59, 4), 7, 187]-NRT-code), using strength reduction based on linear OOA(3²²⁹, 59, F₃, 4, 187) (dual of [(59, 4), 7, 188]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁷, 11, F₃, 4, 33) (dual of [(11, 4), 7, 34]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³⁷, 12, F₃, 4, 33) (dual of [(12, 4), 11, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸⁵, 48, F₃, 4, 153) (dual of [(48, 4), 7, 154]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁸⁹, 24, F₃, 4, 76) (dual of [(24, 4), 7, 77]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,19P) [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.