MinT - Information on Result #2854813

Information on Result #2854813

Linear OOA(3¹⁹⁵, 42, F₃, 5, 158) (dual of [(42, 5), 15, 159]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁵, 42, F₃, 5, 159) (dual of [(42, 5), 15, 160]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁰, 15, F₃, 5, 53) (dual of [(15, 5), 15, 54]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁶⁰, 16, F₃, 5, 53) (dual of [(16, 5), 20, 54]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,26P) [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(3¹²⁰, 27, F₃, 5, 105) (dual of [(27, 5), 15, 106]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹²⁰, 28, F₃, 5, 105) (dual of [(28, 5), 20, 106]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,34P) [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.