MinT - Information on Result #1140977

Information on Result #1140977

Linear OOA(2¹⁷⁴, 195, F₂, 6, 44) (dual of [(195, 6), 996, 45]-NRT-code), using extracting embedded OOA based on digital (130, 174, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 58, 65)-net over F₈, using
- net from sequence [i] based on digital (14, 64)-sequence over F₈, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [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(2¹⁷⁴, 195, F₂, 6, 43) (dual of [(195, 6), 996, 44]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁸⁰, 196, F₂, 6, 44) (dual of [(196, 6), 996, 45]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁸⁶, 197, F₂, 6, 44) (dual of [(197, 6), 996, 45]-NRT-code)	[i]
4	Linear OOA(2¹⁹², 198, F₂, 6, 44) (dual of [(198, 6), 996, 45]-NRT-code)	[i]
5	Linear OOA(2¹⁷⁵, 195, F₂, 6, 44) (dual of [(195, 6), 995, 45]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2¹⁷⁶, 195, F₂, 6, 44) (dual of [(195, 6), 994, 45]-NRT-code)	[i]
7	Linear OOA(2¹⁷⁸, 195, F₂, 6, 44) (dual of [(195, 6), 992, 45]-NRT-code)	[i]
8	Linear OOA(2¹⁷⁹, 195, F₂, 6, 44) (dual of [(195, 6), 991, 45]-NRT-code)	[i]
9	Linear OOA(2¹⁹⁷, 200, F₂, 6, 44) (dual of [(200, 6), 1003, 45]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
10	Linear OOA(2¹⁹⁸, 201, F₂, 6, 44) (dual of [(201, 6), 1008, 45]-NRT-code)	[i]
11	Linear OOA(2¹⁹⁹, 202, F₂, 6, 44) (dual of [(202, 6), 1013, 45]-NRT-code)	[i]