MinT - Information on Result #1087515

Information on Result #1087515

Linear OOA(3²²⁸, 59, F₃, 4, 185) (dual of [(59, 4), 8, 186]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁶, 16, F₃, 4, 49) (dual of [(16, 4), 8, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁴, 43, F₃, 4, 135) (dual of [(43, 4), 8, 136]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵², 15, F₃, 4, 45) (dual of [(15, 4), 8, 46]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3⁵², 16, F₃, 4, 45) (dual of [(16, 4), 12, 46]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16 (see above)
  2. linear OOA(3¹⁰⁴, 28, F₃, 4, 89) (dual of [(28, 4), 8, 90]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,22P) [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: