MinT - Information on Result #1087148

Information on Result #1087148

Linear OOA(3²³³, 65, F₃, 4, 165) (dual of [(65, 4), 27, 166]-NRT-code), using juxtaposition based on

linear OOA(3⁸⁵, 28, F₃, 4, 70) (dual of [(28, 4), 27, 71]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,41P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹²¹, 37, F₃, 4, 94) (dual of [(37, 4), 27, 95]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 121, 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		Method
1	Linear OOA(3²³³, 65, F₃, 4, 164) (dual of [(65, 4), 27, 165]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²³³, 65, F₃, 4, 163) (dual of [(65, 4), 27, 164]-NRT-code)	[i]
3	Linear OOA(3²³³, 65, F₃, 4, 162) (dual of [(65, 4), 27, 163]-NRT-code)	[i]
4	Linear OOA(3²³³, 65, F₃, 4, 161) (dual of [(65, 4), 27, 162]-NRT-code)	[i]
5	Linear OOA(3²³³, 65, F₃, 4, 160) (dual of [(65, 4), 27, 161]-NRT-code)	[i]
6	Linear OOA(3²³³, 65, F₃, 4, 159) (dual of [(65, 4), 27, 160]-NRT-code)	[i]
7	Linear OOA(3²³³, 65, F₃, 4, 158) (dual of [(65, 4), 27, 159]-NRT-code)	[i]
8	Linear OOA(3²³³, 65, F₃, 4, 157) (dual of [(65, 4), 27, 158]-NRT-code)	[i]
9	Linear OOA(3²³⁷, 66, F₃, 4, 165) (dual of [(66, 4), 27, 166]-NRT-code)	[i]	NRT-Code Embedding in Larger Space