MinT - Information on Result #1087160

Information on Result #1087160

Linear OOA(3²³⁴, 65, F₃, 4, 167) (dual of [(65, 4), 26, 168]-NRT-code), using juxtaposition based on

linear OOA(3⁸⁶, 28, F₃, 4, 71) (dual of [(28, 4), 26, 72]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,40P) [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(3¹²², 37, F₃, 4, 95) (dual of [(37, 4), 26, 96]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 122, 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(3²³⁴, 65, F₃, 4, 166) (dual of [(65, 4), 26, 167]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²³⁴, 65, F₃, 4, 165) (dual of [(65, 4), 26, 166]-NRT-code)	[i]
3	Linear OOA(3²³⁴, 65, F₃, 4, 164) (dual of [(65, 4), 26, 165]-NRT-code)	[i]
4	Linear OOA(3²³⁴, 65, F₃, 4, 163) (dual of [(65, 4), 26, 164]-NRT-code)	[i]
5	Linear OOA(3²³⁴, 65, F₃, 4, 162) (dual of [(65, 4), 26, 163]-NRT-code)	[i]
6	Linear OOA(3²³⁴, 65, F₃, 4, 161) (dual of [(65, 4), 26, 162]-NRT-code)	[i]
7	Linear OOA(3²³⁴, 65, F₃, 4, 160) (dual of [(65, 4), 26, 161]-NRT-code)	[i]
8	Linear OOA(3²³⁴, 65, F₃, 4, 159) (dual of [(65, 4), 26, 160]-NRT-code)	[i]
9	Linear OOA(3²³⁸, 66, F₃, 4, 167) (dual of [(66, 4), 26, 168]-NRT-code)	[i]	NRT-Code Embedding in Larger Space