MinT - Information on Result #891349

Information on Result #891349

Linear OOA(9¹⁰⁶, 740, F₉, 2, 37) (dual of [(740, 2), 1374, 38]-NRT-code), using extracting embedded OOA based on digital (69, 106, 740)-net over F₉, using

trace code for nets [i] based on digital (16, 53, 370)-net over F₈₁, using
- net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
    - a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9¹⁰⁸, 741, F₉, 2, 37) (dual of [(741, 2), 1374, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(9¹¹⁰, 742, F₉, 2, 37) (dual of [(742, 2), 1374, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(9¹⁰⁷, 740, F₉, 2, 37) (dual of [(740, 2), 1373, 38]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(9¹²⁴, 750, F₉, 2, 37) (dual of [(750, 2), 1376, 38]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(9¹²⁵, 756, F₉, 2, 37) (dual of [(756, 2), 1387, 38]-NRT-code)	[i]
6	Linear OOA(9¹²⁶, 760, F₉, 2, 37) (dual of [(760, 2), 1394, 38]-NRT-code)	[i]
7	Linear OOA(9¹²⁷, 768, F₉, 2, 37) (dual of [(768, 2), 1409, 38]-NRT-code)	[i]
8	Linear OOA(9¹²⁸, 770, F₉, 2, 37) (dual of [(770, 2), 1412, 38]-NRT-code)	[i]
9	Linear OOA(9¹⁰⁶, 370, F₉, 3, 37) (dual of [(370, 3), 1004, 38]-NRT-code)	[i]		OOA Folding