MinT - Information on Result #2636250

Information on Result #2636250

Linear OOA(4²²⁶, 83, F₄, 3, 160) (dual of [(83, 3), 23, 161]-NRT-code), using strength reduction based on linear OOA(4²²⁶, 83, F₄, 3, 161) (dual of [(83, 3), 23, 162]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁸, 27, F₄, 3, 48) (dual of [(27, 3), 23, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,32P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁴⁵, 56, F₄, 3, 112) (dual of [(56, 3), 23, 113]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,55P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
    - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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.