MinT - Information on Result #2624783

Information on Result #2624783

Linear OOA(3¹⁷⁹, 63, F₃, 3, 128) (dual of [(63, 3), 10, 129]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁹, 63, F₃, 3, 130) (dual of [(63, 3), 10, 131]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁷, 19, F₃, 3, 38) (dual of [(19, 3), 10, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,18P) [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(3¹²², 44, F₃, 3, 91) (dual of [(44, 3), 10, 92]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3³⁸, 16, F₃, 3, 31) (dual of [(16, 3), 10, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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(3⁷⁴, 28, F₃, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,24P) [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.