MinT - Information on Result #1025672

Information on Result #1025672

Linear OOA(2¹⁶⁶, 57, F₂, 3, 113) (dual of [(57, 3), 5, 114]-NRT-code), using juxtaposition based on

linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵¹, 52, F₂, 3, 103) (dual of [(52, 3), 5, 104]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code) (see above)
  2. linear OOA(2¹³⁶, 47, F₂, 3, 93) (dual of [(47, 3), 5, 94]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code) (see above)
      2. linear OOA(2¹²¹, 42, F₂, 3, 83) (dual of [(42, 3), 5, 84]-NRT-code), using
        repeating each code word 7 times [i] based on linear OOA(2¹³, 6, F₂, 3, 11) (dual of [(6, 3), 5, 12]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2¹⁸¹, 62, F₂, 3, 123) (dual of [(62, 3), 5, 124]-NRT-code)	[i]		Juxtaposition for OOAs