MinT - Information on Result #2630686

Information on Result #2630686

Linear OOA(4¹¹², 43, F₄, 3, 80) (dual of [(43, 3), 17, 81]-NRT-code), using strength reduction based on linear OOA(4¹¹², 43, F₄, 3, 81) (dual of [(43, 3), 17, 82]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁴, 17, F₄, 3, 29) (dual of [(17, 3), 17, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁶¹, 26, F₄, 3, 51) (dual of [(26, 3), 17, 52]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,26P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.