MinT - Information on Result #2624173

Information on Result #2624173

Linear OOA(3¹⁶⁸, 59, F₃, 3, 123) (dual of [(59, 3), 9, 124]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁸, 59, F₃, 3, 124) (dual of [(59, 3), 9, 125]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁸, 19, F₃, 3, 39) (dual of [(19, 3), 9, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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(3¹¹¹, 40, F₃, 3, 84) (dual of [(40, 3), 9, 85]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3²⁷, 12, F₃, 3, 23) (dual of [(12, 3), 9, 24]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3⁷⁵, 28, F₃, 3, 60) (dual of [(28, 3), 9, 61]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,23P) [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.