MinT - Information on Result #2858440

Information on Result #2858440

Linear OOA(3²⁴⁶, 53, F₃, 5, 197) (dual of [(53, 5), 19, 198]-NRT-code), using strength reduction based on linear OOA(3²⁴⁶, 53, F₃, 5, 198) (dual of [(53, 5), 19, 199]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁰⁶, 25, F₃, 5, 91) (dual of [(25, 5), 19, 92]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁰⁶, 28, F₃, 5, 91) (dual of [(28, 5), 34, 92]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,48P) [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(3¹²¹, 28, F₃, 5, 106) (dual of [(28, 5), 19, 107]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,33P) [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.