MinT - Information on Result #2770914

Information on Result #2770914

Linear OOA(3¹⁴⁴, 39, F₃, 4, 110) (dual of [(39, 4), 12, 111]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁴, 39, F₃, 4, 114) (dual of [(39, 4), 12, 115]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁶, 12, F₃, 4, 32) (dual of [(12, 4), 12, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,15P) [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(3⁹⁶, 27, F₃, 4, 81) (dual of [(27, 4), 12, 82]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹⁶, 28, F₃, 4, 81) (dual of [(28, 4), 16, 82]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,30P) [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.