MinT - Information on Result #1025395

Information on Result #1025395

Linear OOA(2¹⁸³, 64, F₂, 3, 104) (dual of [(64, 3), 9, 105]-NRT-code), using juxtaposition based on

linear OOA(2³³, 14, F₂, 3, 22) (dual of [(14, 3), 9, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴¹, 50, F₂, 3, 81) (dual of [(50, 3), 9, 82]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²¹, 10, F₂, 3, 15) (dual of [(10, 3), 9, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹¹¹, 40, F₂, 3, 65) (dual of [(40, 3), 9, 66]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁵¹, 20, F₂, 3, 32) (dual of [(20, 3), 9, 33]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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(2²³⁴, 81, F₂, 3, 132) (dual of [(81, 3), 9, 133]-NRT-code)	[i]		Juxtaposition for OOAs