MinT - Information on Result #2636332

Information on Result #2636332

Linear OOA(4²²⁷, 83, F₄, 3, 159) (dual of [(83, 3), 22, 160]-NRT-code), using strength reduction based on linear OOA(4²²⁷, 83, F₄, 3, 163) (dual of [(83, 3), 22, 164]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁹, 27, F₄, 3, 49) (dual of [(27, 3), 22, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,31P) [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(4¹⁴⁶, 56, F₄, 3, 113) (dual of [(56, 3), 22, 114]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,54P) [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.