MinT - Information on Result #1158805

Information on Result #1158805

Linear OOA(2²²⁸, 195, F₂, 7, 62) (dual of [(195, 7), 1137, 63]-NRT-code), using extracting embedded OOA based on digital (166, 228, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 76, 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(2²²⁸, 195, F₂, 7, 61) (dual of [(195, 7), 1137, 62]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²⁸, 195, F₂, 7, 60) (dual of [(195, 7), 1137, 61]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2²³⁵, 196, F₂, 7, 62) (dual of [(196, 7), 1137, 63]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2²⁴², 197, F₂, 7, 62) (dual of [(197, 7), 1137, 63]-NRT-code)	[i]
5	Linear OOA(2²⁴⁹, 198, F₂, 7, 62) (dual of [(198, 7), 1137, 63]-NRT-code)	[i]
6	Linear OOA(2²⁵⁶, 199, F₂, 7, 62) (dual of [(199, 7), 1137, 63]-NRT-code)	[i]
7	Linear OOA(2²²⁹, 195, F₂, 7, 62) (dual of [(195, 7), 1136, 63]-NRT-code)	[i]		OOA Duplication
8	Linear OOA(2²³⁰, 195, F₂, 7, 62) (dual of [(195, 7), 1135, 63]-NRT-code)	[i]
9	Linear OOA(2²³², 195, F₂, 7, 62) (dual of [(195, 7), 1133, 63]-NRT-code)	[i]
10	Linear OOA(2²³³, 195, F₂, 7, 62) (dual of [(195, 7), 1132, 63]-NRT-code)	[i]
11	Linear OOA(2²⁶⁰, 200, F₂, 7, 62) (dual of [(200, 7), 1140, 63]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs