MinT - Information on Result #2857203

Information on Result #2857203

Linear OOA(3²²⁹, 47, F₃, 5, 198) (dual of [(47, 5), 6, 199]-NRT-code), using strength reduction based on linear OOA(3²²⁹, 47, F₃, 5, 199) (dual of [(47, 5), 6, 200]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁴, 12, F₃, 5, 50) (dual of [(12, 5), 6, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,9P) [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(3¹⁶⁹, 35, F₃, 5, 148) (dual of [(35, 5), 6, 149]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3²⁹, 7, F₃, 5, 28) (dual of [(7, 5), 6, 29]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;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(3¹³⁴, 28, F₃, 5, 119) (dual of [(28, 5), 6, 120]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;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.