MinT - Information on Result #2631526

Information on Result #2631526

Linear OOA(4¹³⁸, 49, F₄, 3, 109) (dual of [(49, 3), 9, 110]-NRT-code), using strength reduction based on linear OOA(4¹³⁸, 49, F₄, 3, 111) (dual of [(49, 3), 9, 112]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁴, 21, F₄, 3, 47) (dual of [(21, 3), 9, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁷⁵, 28, F₄, 3, 63) (dual of [(28, 3), 9, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₄ with g(F) = 12 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.