MinT - Information on Result #2775943

Information on Result #2775943

Linear OOA(3²²⁷, 59, F₃, 4, 180) (dual of [(59, 4), 9, 181]-NRT-code), using strength reduction based on linear OOA(3²²⁷, 59, F₃, 4, 183) (dual of [(59, 4), 9, 184]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁷, 19, F₃, 4, 58) (dual of [(19, 4), 9, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(3¹⁵¹, 40, F₃, 4, 124) (dual of [(40, 4), 9, 125]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3³⁹, 12, F₃, 4, 35) (dual of [(12, 4), 9, 36]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;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(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.