MinT - Information on Result #2776704

Information on Result #2776704

Linear OOA(3²³⁷, 61, F₃, 4, 188) (dual of [(61, 4), 7, 189]-NRT-code), using strength reduction based on linear OOA(3²³⁷, 61, F₃, 4, 194) (dual of [(61, 4), 7, 195]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²¹, 7, F₃, 4, 20) (dual of [(7, 4), 7, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3²⁰⁹, 54, F₃, 4, 173) (dual of [(54, 4), 7, 174]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3¹⁰¹, 27, F₃, 4, 86) (dual of [(27, 4), 7, 87]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3¹⁰¹, 28, F₃, 4, 86) (dual of [(28, 4), 11, 87]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;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.