MinT - Information on Result #2771283

Information on Result #2771283

Linear OOA(3¹⁵², 42, F₃, 4, 114) (dual of [(42, 4), 16, 115]-NRT-code), using strength reduction based on linear OOA(3¹⁵², 42, F₃, 4, 115) (dual of [(42, 4), 16, 116]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁸, 16, F₃, 4, 41) (dual of [(16, 4), 16, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,22P) [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(3⁸⁸, 26, F₃, 4, 73) (dual of [(26, 4), 16, 74]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁸⁸, 27, F₃, 4, 73) (dual of [(27, 4), 20, 74]-NRT-code), using
    - algebraic-geometric NRT-code AG(4;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.