MinT - Information on Result #2773989

Information on Result #2773989

Linear OOA(3¹⁹⁹, 51, F₃, 4, 166) (dual of [(51, 4), 5, 167]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁹, 51, F₃, 4, 168) (dual of [(51, 4), 5, 169]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁷, 8, F₃, 4, 25) (dual of [(8, 4), 5, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(3¹⁶⁷, 43, F₃, 4, 142) (dual of [(43, 4), 5, 143]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3²³, 7, F₃, 4, 22) (dual of [(7, 4), 5, 23]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;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(3¹³⁹, 36, F₃, 4, 119) (dual of [(36, 4), 5, 120]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;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.