MinT - Information on Result #1027822

Information on Result #1027822

Linear OOA(9¹¹⁹, 41, F₉, 3, 112) (dual of [(41, 3), 4, 113]-NRT-code), using juxtaposition based on

linear OOA(9³⁵, 13, F₉, 3, 34) (dual of [(13, 3), 4, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9³⁵, 16, F₉, 3, 34) (dual of [(16, 3), 13, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
    - a function field by GarcÃa and Quoos [i]
linear OOA(9⁸⁰, 28, F₉, 3, 77) (dual of [(28, 3), 4, 78]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
  - the Hermitian function field over F₉ [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9¹¹⁹, 41, F₉, 3, 111) (dual of [(41, 3), 4, 112]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(9¹¹⁹, 41, F₉, 3, 110) (dual of [(41, 3), 4, 111]-NRT-code)	[i]		Strength Reduction for OOAs