MinT - Information on Result #2638330

Information on Result #2638330

Linear OOA(4²⁵¹, 88, F₄, 3, 189) (dual of [(88, 3), 13, 190]-NRT-code), using strength reduction based on linear OOA(4²⁵¹, 88, F₄, 3, 191) (dual of [(88, 3), 13, 192]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁸³, 32, F₄, 3, 68) (dual of [(32, 3), 13, 69]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,27P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵⁵, 56, F₄, 3, 122) (dual of [(56, 3), 13, 123]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,45P) [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.