MinT - Information on Result #1084554

Information on Result #1084554

Linear OOA(3²⁵⁰, 88, F₃, 4, 115) (dual of [(88, 4), 102, 116]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁵³, 28, F₃, 4, 38) (dual of [(28, 4), 59, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,73P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁷⁸, 30, F₃, 4, 57) (dual of [(30, 4), 42, 58]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁷⁸, 31, F₃, 4, 57) (dual of [(31, 4), 46, 58]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,66P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹¹⁹, 30, F₃, 4, 115) (dual of [(30, 4), 1, 116]-NRT-code), using
- strength reduction [i] based on linear OOA(3¹¹⁹, 30, F₃, 4, 119) (dual of [(30, 4), 1, 120]-NRT-code), using
  - dual of repetition NRT-code with length 30 [i]

Mode: Constructive and linear.

None.

The following results depend on this result: