MinT - Information on Result #2622854

Information on Result #2622854

Linear OOA(3¹⁴¹, 49, F₃, 3, 107) (dual of [(49, 3), 6, 108]-NRT-code), using strength reduction based on linear OOA(3¹⁴¹, 49, F₃, 3, 108) (dual of [(49, 3), 6, 109]-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(3¹²⁰, 42, F₃, 3, 93) (dual of [(42, 3), 6, 94]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3¹⁵, 7, F₃, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code) (see above)
    2. linear OOA(3⁹⁹, 35, F₃, 3, 78) (dual of [(35, 3), 6, 79]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(3¹⁵, 7, F₃, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code) (see above)
        linear OOA(3⁷⁸, 28, F₃, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,20P) [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.