MinT - Information on Result #2622136

Information on Result #2622136

Linear OOA(3¹²⁴, 45, F₃, 3, 89) (dual of [(45, 3), 11, 90]-NRT-code), using strength reduction based on linear OOA(3¹²⁴, 45, F₃, 3, 90) (dual of [(45, 3), 11, 91]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁰, 17, F₃, 3, 31) (dual of [(17, 3), 11, 32]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁴⁰, 19, F₃, 3, 31) (dual of [(19, 3), 17, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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(3⁷³, 28, F₃, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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.