MinT - Information on Result #891397

Information on Result #891397

Linear OOA(9¹¹⁸, 740, F₉, 2, 43) (dual of [(740, 2), 1362, 44]-NRT-code), using extracting embedded OOA based on digital (75, 118, 740)-net over F₉, using

trace code for nets [i] based on digital (16, 59, 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(9¹²⁰, 741, F₉, 2, 43) (dual of [(741, 2), 1362, 44]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(9¹²², 742, F₉, 2, 43) (dual of [(742, 2), 1362, 44]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(9¹¹⁹, 740, F₉, 2, 43) (dual of [(740, 2), 1361, 44]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(9¹³⁹, 751, F₉, 2, 43) (dual of [(751, 2), 1363, 44]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
5	Linear OOA(9¹⁴⁰, 756, F₉, 2, 43) (dual of [(756, 2), 1372, 44]-NRT-code)	[i]
6	Linear OOA(9¹⁴¹, 760, F₉, 2, 43) (dual of [(760, 2), 1379, 44]-NRT-code)	[i]
7	Linear OOA(9¹⁴², 768, F₉, 2, 43) (dual of [(768, 2), 1394, 44]-NRT-code)	[i]
8	Linear OOA(9¹⁴³, 770, F₉, 2, 43) (dual of [(770, 2), 1397, 44]-NRT-code)	[i]
9	Linear OOA(9¹⁴⁴, 772, F₉, 2, 43) (dual of [(772, 2), 1400, 44]-NRT-code)	[i]
10	Linear OOA(9¹⁴⁵, 774, F₉, 2, 43) (dual of [(774, 2), 1403, 44]-NRT-code)	[i]
11	Linear OOA(9¹⁴⁶, 776, F₉, 2, 43) (dual of [(776, 2), 1406, 44]-NRT-code)	[i]
12	Linear OOA(9¹⁴⁷, 780, F₉, 2, 43) (dual of [(780, 2), 1413, 44]-NRT-code)	[i]
13	Linear OOA(9¹¹⁸, 370, F₉, 3, 43) (dual of [(370, 3), 992, 44]-NRT-code)	[i]		OOA Folding