MinT - Information on Result #2771782

Information on Result #2771782

Linear OOA(3¹⁶², 43, F₃, 4, 128) (dual of [(43, 4), 10, 129]-NRT-code), using strength reduction based on linear OOA(3¹⁶², 43, F₃, 4, 131) (dual of [(43, 4), 10, 132]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁰, 15, F₃, 4, 43) (dual of [(15, 4), 10, 44]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵⁰, 16, F₃, 4, 43) (dual of [(16, 4), 14, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,20P) [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(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.