MinT - Information on Result #2631119

Information on Result #2631119

Linear OOA(4¹²⁶, 44, F₄, 3, 102) (dual of [(44, 3), 6, 103]-NRT-code), using strength reduction based on linear OOA(4¹²⁶, 44, F₄, 3, 105) (dual of [(44, 3), 6, 106]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁸⁴, 30, F₄, 3, 71) (dual of [(30, 3), 6, 72]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
    - F₄ 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.