MinT - Information on Result #2631547

Information on Result #2631547

Linear OOA(4¹³⁹, 49, F₄, 3, 110) (dual of [(49, 3), 8, 111]-NRT-code), using strength reduction based on linear OOA(4¹³⁹, 49, F₄, 3, 113) (dual of [(49, 3), 8, 114]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁵, 21, F₄, 3, 48) (dual of [(21, 3), 8, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(4⁷⁶, 28, F₄, 3, 64) (dual of [(28, 3), 8, 65]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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.