MinT - Information on Result #2637208

Information on Result #2637208

Linear OOA(4²³⁸, 84, F₄, 3, 178) (dual of [(84, 3), 14, 179]-NRT-code), using strength reduction based on linear OOA(4²³⁸, 84, F₄, 3, 180) (dual of [(84, 3), 14, 181]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁷⁰, 28, F₄, 3, 58) (dual of [(28, 3), 14, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₄ with g(F) = 12 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵⁴, 56, F₄, 3, 121) (dual of [(56, 3), 14, 122]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,46P) [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.