MinT - Information on Result #2622337

Information on Result #2622337

Linear OOA(3¹²⁹, 45, F₃, 3, 99) (dual of [(45, 3), 6, 100]-NRT-code), using strength reduction based on linear OOA(3¹²⁹, 45, F₃, 3, 100) (dual of [(45, 3), 6, 101]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁵, 7, F₃, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,6P) [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(3¹⁰⁸, 38, F₃, 3, 85) (dual of [(38, 3), 6, 86]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁵¹, 19, F₃, 3, 42) (dual of [(19, 3), 6, 43]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.