MinT - Information on Result #1087263

Information on Result #1087263

Linear OOA(3²⁴⁹, 67, F₃, 4, 183) (dual of [(67, 4), 19, 184]-NRT-code), using juxtaposition based on

linear OOA(3¹⁰¹, 30, F₃, 4, 80) (dual of [(30, 4), 19, 81]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁰¹, 32, F₃, 4, 80) (dual of [(32, 4), 27, 81]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,47P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹²⁹, 37, F₃, 4, 102) (dual of [(37, 4), 19, 103]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 129, 37)-net over F₃, using
  - net from sequence [i] based on digital (27, 36)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 26, N(F)Â =Â 36, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, 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(3²⁴⁹, 67, F₃, 4, 182) (dual of [(67, 4), 19, 183]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴⁹, 67, F₃, 4, 181) (dual of [(67, 4), 19, 182]-NRT-code)	[i]		Strength Reduction for OOAs