MinT - Information on Result #1025386

Information on Result #1025386

Linear OOA(2¹¹⁴, 41, F₂, 3, 66) (dual of [(41, 3), 9, 67]-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(2⁷², 27, F₂, 3, 43) (dual of [(27, 3), 9, 44]-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(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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(2¹⁵⁶, 55, F₂, 3, 89) (dual of [(55, 3), 9, 90]-NRT-code)	[i]		Juxtaposition for OOAs