MinT - Information on Result #1006998

Information on Result #1006998

Linear OOA(9¹¹⁸, 740, F₉, 3, 43) (dual of [(740, 3), 2102, 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(9¹¹⁸, 740, F₉, 3, 42) (dual of [(740, 3), 2102, 43]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(9¹²¹, 741, F₉, 3, 43) (dual of [(741, 3), 2102, 44]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(9¹²⁴, 742, F₉, 3, 43) (dual of [(742, 3), 2102, 44]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(9¹¹⁹, 740, F₉, 3, 43) (dual of [(740, 3), 2101, 44]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(9¹³⁹, 750, F₉, 3, 43) (dual of [(750, 3), 2111, 44]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
6	Linear OOA(9¹⁴⁰, 756, F₉, 3, 43) (dual of [(756, 3), 2128, 44]-NRT-code)	[i]
7	Linear OOA(9¹⁴¹, 760, F₉, 3, 43) (dual of [(760, 3), 2139, 44]-NRT-code)	[i]
8	Linear OOA(9¹⁴², 768, F₉, 3, 43) (dual of [(768, 3), 2162, 44]-NRT-code)	[i]
9	Linear OOA(9¹⁴³, 770, F₉, 3, 43) (dual of [(770, 3), 2167, 44]-NRT-code)	[i]
10	Linear OOA(9¹⁴⁴, 772, F₉, 3, 43) (dual of [(772, 3), 2172, 44]-NRT-code)	[i]
11	Linear OOA(9¹⁴⁵, 774, F₉, 3, 43) (dual of [(774, 3), 2177, 44]-NRT-code)	[i]
12	Linear OOA(9¹⁴⁶, 776, F₉, 3, 43) (dual of [(776, 3), 2182, 44]-NRT-code)	[i]
13	Linear OOA(9¹⁴⁷, 780, F₉, 3, 43) (dual of [(780, 3), 2193, 44]-NRT-code)	[i]