MinT - Information on Result #2624708

Information on Result #2624708

Linear OOA(3¹⁷⁸, 63, F₃, 3, 126) (dual of [(63, 3), 11, 127]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁸, 63, F₃, 3, 127) (dual of [(63, 3), 11, 128]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁶, 19, F₃, 3, 37) (dual of [(19, 3), 11, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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(3¹²¹, 44, F₃, 3, 89) (dual of [(44, 3), 11, 90]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3³⁷, 16, F₃, 3, 30) (dual of [(16, 3), 11, 31]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3⁷³, 28, F₃, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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.