MinT - Information on Result #2771907

Information on Result #2771907

Linear OOA(3¹⁶⁴, 43, F₃, 4, 132) (dual of [(43, 4), 8, 133]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁴, 43, F₃, 4, 135) (dual of [(43, 4), 8, 136]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵², 15, F₃, 4, 45) (dual of [(15, 4), 8, 46]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵², 16, F₃, 4, 45) (dual of [(16, 4), 12, 46]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁴, 28, F₃, 4, 89) (dual of [(28, 4), 8, 90]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,22P) [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.