MinT - Information on Result #1027830

Information on Result #1027830

Linear OOA(9¹³⁷, 47, F₉, 3, 129) (dual of [(47, 3), 4, 130]-NRT-code), using juxtaposition based on

linear OOA(9⁵³, 19, F₉, 3, 51) (dual of [(19, 3), 4, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9⁵³, 20, F₉, 3, 51) (dual of [(20, 3), 7, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₉ with g(F) = 2 and N(F) ≥ 20, 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(9¹³⁷, 47, F₉, 3, 128) (dual of [(47, 3), 4, 129]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(9¹³⁷, 47, F₉, 3, 127) (dual of [(47, 3), 4, 128]-NRT-code)	[i]		Strength Reduction for OOAs