MinT - Information on Result #1026875

Information on Result #1026875

Linear OOA(4¹⁹¹, 69, F₄, 3, 138) (dual of [(69, 3), 16, 139]-NRT-code), using juxtaposition based on

linear OOA(4³², 16, F₄, 3, 27) (dual of [(16, 3), 16, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³², 17, F₄, 3, 27) (dual of [(17, 3), 19, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁴³, 53, F₄, 3, 110) (dual of [(53, 3), 16, 111]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁴³, 55, F₄, 3, 110) (dual of [(55, 3), 22, 111]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,54P) [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.

None.

None.