MinT - Information on Result #1025560

Information on Result #1025560

Linear OOA(2⁹², 33, F₂, 3, 58) (dual of [(33, 3), 7, 59]-NRT-code), using juxtaposition based on

linear OOA(2²³, 10, F₂, 3, 17) (dual of [(10, 3), 7, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2⁶², 23, F₂, 3, 40) (dual of [(23, 3), 7, 41]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁰, 9, F₂, 3, 15) (dual of [(9, 3), 7, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁵, 14, F₂, 3, 24) (dual of [(14, 3), 7, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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(2¹²², 43, F₂, 3, 76) (dual of [(43, 3), 7, 77]-NRT-code)	[i]		Juxtaposition for OOAs