MinT - Information on Result #2770985

Information on Result #2770985

Linear OOA(3¹⁴⁶, 39, F₃, 4, 117) (dual of [(39, 4), 10, 118]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁶, 39, F₃, 4, 118) (dual of [(39, 4), 10, 119]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁴, 11, F₃, 4, 30) (dual of [(11, 4), 10, 31]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³⁴, 12, F₃, 4, 30) (dual of [(12, 4), 14, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,17P) [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(3¹⁰², 28, F₃, 4, 87) (dual of [(28, 4), 10, 88]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,24P) [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.