MinT - Information on Result #2630959

Information on Result #2630959

Linear OOA(4¹²¹, 45, F₄, 3, 89) (dual of [(45, 3), 14, 90]-NRT-code), using strength reduction based on linear OOA(4¹²¹, 45, F₄, 3, 91) (dual of [(45, 3), 14, 92]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³¹, 15, F₄, 3, 27) (dual of [(15, 3), 14, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁷⁶, 30, F₄, 3, 63) (dual of [(30, 3), 14, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [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.