MinT - Information on Result #1121177

Information on Result #1121177

Linear OOA(3²⁴⁸, 51, F₃, 5, 213) (dual of [(51, 5), 7, 214]-NRT-code), using juxtaposition based on

linear OOA(3⁵³, 12, F₃, 5, 49) (dual of [(12, 5), 7, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁸⁸, 39, F₃, 5, 163) (dual of [(39, 5), 7, 164]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁴⁸, 11, F₃, 5, 44) (dual of [(11, 5), 7, 45]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3⁴⁸, 12, F₃, 5, 44) (dual of [(12, 5), 12, 45]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12 (see above)
  2. linear OOA(3¹³³, 28, F₃, 5, 118) (dual of [(28, 5), 7, 119]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,21P) [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: