MinT - Information on Result #1025454

Information on Result #1025454

Linear OOA(2¹⁴⁸, 52, F₂, 3, 87) (dual of [(52, 3), 8, 88]-NRT-code), using juxtaposition based on

linear OOA(2¹⁹, 9, F₂, 3, 14) (dual of [(9, 3), 8, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹²¹, 43, F₂, 3, 72) (dual of [(43, 3), 8, 73]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁹, 9, F₂, 3, 14) (dual of [(9, 3), 8, 15]-NRT-code) (see above)
  2. linear OOA(2⁹⁴, 34, F₂, 3, 57) (dual of [(34, 3), 8, 58]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁴³, 17, F₂, 3, 28) (dual of [(17, 3), 8, 29]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(2¹⁷⁵, 61, F₂, 3, 102) (dual of [(61, 3), 8, 103]-NRT-code)	[i]		Juxtaposition for OOAs