MinT - Information on Result #2627242

Information on Result #2627242

Linear OOA(3²²⁰, 75, F₃, 3, 172) (dual of [(75, 3), 5, 173]-NRT-code), using strength reduction based on linear OOA(3²²⁰, 75, F₃, 3, 173) (dual of [(75, 3), 5, 174]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁹, 8, F₃, 3, 17) (dual of [(8, 3), 5, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁹⁶, 67, F₃, 3, 155) (dual of [(67, 3), 5, 156]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3¹⁶, 7, F₃, 3, 15) (dual of [(7, 3), 5, 16]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,5P) [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(3¹⁷⁵, 60, F₃, 3, 139) (dual of [(60, 3), 5, 140]-NRT-code), using
      - repeating each code word 5 times [i] based on linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.