MinT - Information on Result #2626582

Information on Result #2626582

Linear OOA(3²⁰⁹, 74, F₃, 3, 144) (dual of [(74, 3), 13, 145]-NRT-code), using strength reduction based on linear OOA(3²⁰⁹, 74, F₃, 3, 146) (dual of [(74, 3), 13, 147]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴¹, 18, F₃, 3, 32) (dual of [(18, 3), 13, 33]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁴¹, 19, F₃, 3, 32) (dual of [(19, 3), 16, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁵⁵, 56, F₃, 3, 113) (dual of [(56, 3), 13, 114]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷¹, 28, F₃, 3, 56) (dual of [(28, 3), 13, 57]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,27P) [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.