MinT - Information on Result #1087616

Information on Result #1087616

Linear OOA(3¹⁹¹, 49, F₃, 4, 161) (dual of [(49, 4), 5, 162]-NRT-code), using juxtaposition based on

linear OOA(3²³, 7, F₃, 4, 22) (dual of [(7, 4), 5, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶³, 42, F₃, 4, 138) (dual of [(42, 4), 5, 139]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁹, 6, F₃, 4, 18) (dual of [(6, 4), 5, 19]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3¹⁹, 7, F₃, 4, 18) (dual of [(7, 4), 9, 19]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7 (see above)
  2. linear OOA(3¹³⁹, 36, F₃, 4, 119) (dual of [(36, 4), 5, 120]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.