MinT - Information on Result #2632811

Information on Result #2632811

Linear OOA(4¹⁷⁰, 62, F₄, 3, 126) (dual of [(62, 3), 16, 127]-NRT-code), using strength reduction based on linear OOA(4¹⁷⁰, 62, F₄, 3, 127) (dual of [(62, 3), 16, 128]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁷¹, 29, F₄, 3, 58) (dual of [(29, 3), 16, 59]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,28P) [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]
2. linear OOA(4⁸³, 33, F₄, 3, 68) (dual of [(33, 3), 16, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [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.