MinT - Information on Result #1082273

Information on Result #1082273

Linear OOA(3²⁴⁶, 74, F₃, 4, 145) (dual of [(74, 4), 50, 146]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁹⁹, 37, F₃, 4, 72) (dual of [(37, 4), 49, 73]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 99, 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]
linear OOA(3¹⁴⁷, 37, F₃, 4, 145) (dual of [(37, 4), 1, 146]-NRT-code), using
- strength reduction [i] based on linear OOA(3¹⁴⁷, 37, F₃, 4, 147) (dual of [(37, 4), 1, 148]-NRT-code), using
  - dual of repetition NRT-code with length 37 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(3²⁵⁰, 75, F₃, 4, 145) (dual of [(75, 4), 50, 146]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3²⁴⁸, 74, F₃, 4, 145) (dual of [(74, 4), 48, 146]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3²⁴⁴, 73, F₃, 4, 143) (dual of [(73, 4), 48, 144]-NRT-code)	[i]	Truncation for OOAs
4	Linear OOA(3²⁴³, 73, F₃, 4, 142) (dual of [(73, 4), 49, 143]-NRT-code)	[i]
5	Linear OOA(3²⁴², 73, F₃, 4, 141) (dual of [(73, 4), 50, 142]-NRT-code)	[i]
6	Linear OOA(3²⁴¹, 72, F₃, 4, 140) (dual of [(72, 4), 47, 141]-NRT-code)	[i]