MinT - Information on Result #2775635

Information on Result #2775635

Linear OOA(3²²³, 58, F₃, 4, 178) (dual of [(58, 4), 9, 179]-NRT-code), using strength reduction based on linear OOA(3²²³, 58, F₃, 4, 179) (dual of [(58, 4), 9, 180]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁵, 16, F₃, 4, 48) (dual of [(16, 4), 9, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,15P) [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(3¹⁵⁹, 42, F₃, 4, 130) (dual of [(42, 4), 9, 131]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁴⁷, 14, F₃, 4, 41) (dual of [(14, 4), 9, 42]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3¹⁰³, 28, F₃, 4, 88) (dual of [(28, 4), 9, 89]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;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.