MinT - Information on Result #2858684

Information on Result #2858684

Linear OOA(3²⁴⁹, 53, F₃, 5, 202) (dual of [(53, 5), 16, 203]-NRT-code), using strength reduction based on linear OOA(3²⁴⁹, 53, F₃, 5, 204) (dual of [(53, 5), 16, 205]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁰⁹, 25, F₃, 5, 94) (dual of [(25, 5), 16, 95]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁰⁹, 28, F₃, 5, 94) (dual of [(28, 5), 31, 95]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,45P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹²⁴, 28, F₃, 5, 109) (dual of [(28, 5), 16, 110]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,30P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)

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.