MinT - Information on Result #2857917

Information on Result #2857917

Linear OOA(3²³⁹, 49, F₃, 5, 204) (dual of [(49, 5), 6, 205]-NRT-code), using strength reduction based on linear OOA(3²³⁹, 49, F₃, 5, 206) (dual of [(49, 5), 6, 207]-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(3²⁰⁴, 42, F₃, 5, 177) (dual of [(42, 5), 6, 178]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3²⁹, 7, F₃, 5, 28) (dual of [(7, 5), 6, 29]-NRT-code) (see above)
    2. linear OOA(3¹⁶⁹, 35, F₃, 5, 148) (dual of [(35, 5), 6, 149]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(3²⁹, 7, F₃, 5, 28) (dual of [(7, 5), 6, 29]-NRT-code) (see above)
        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.