MinT - Information on Result #1087424

Information on Result #1087424

Linear OOA(3²⁴⁹, 65, F₃, 4, 196) (dual of [(65, 4), 11, 197]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁵, 19, F₃, 4, 56) (dual of [(19, 4), 11, 57]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,19P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁷³, 46, F₃, 4, 139) (dual of [(46, 4), 11, 140]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁶¹, 18, F₃, 4, 52) (dual of [(18, 4), 11, 53]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3⁶¹, 19, F₃, 4, 52) (dual of [(19, 4), 15, 53]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19 (see above)
  2. linear OOA(3¹⁰¹, 28, F₃, 4, 86) (dual of [(28, 4), 11, 87]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,25P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result: