MinT - Information on Result #1026796

Information on Result #1026796

Linear OOA(4¹⁹¹, 70, F₄, 3, 133) (dual of [(70, 3), 19, 134]-NRT-code), using juxtaposition based on

linear OOA(4³⁸, 19, F₄, 3, 31) (dual of [(19, 3), 19, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4³⁸, 21, F₄, 3, 31) (dual of [(21, 3), 25, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹³⁴, 51, F₄, 3, 101) (dual of [(51, 3), 19, 102]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹³⁴, 55, F₄, 3, 101) (dual of [(55, 3), 31, 102]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,63P) [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.