MinT - Information on Result #1026493

Information on Result #1026493

Linear OOA(3¹⁸¹, 62, F₃, 3, 143) (dual of [(62, 3), 5, 144]-NRT-code), using juxtaposition based on

linear OOA(3¹⁶, 7, F₃, 3, 15) (dual of [(7, 3), 5, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;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(3¹⁶⁰, 55, F₃, 3, 127) (dual of [(55, 3), 5, 128]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁶, 7, F₃, 3, 15) (dual of [(7, 3), 5, 16]-NRT-code) (see above)
  2. linear OOA(3¹³⁹, 48, F₃, 3, 111) (dual of [(48, 3), 5, 112]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;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.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²⁰², 69, F₃, 3, 159) (dual of [(69, 3), 5, 160]-NRT-code)	[i]		Juxtaposition for OOAs