MinT - Information on Result #1110549

Information on Result #1110549

Linear OOA(2¹⁴⁷, 195, F₂, 5, 35) (dual of [(195, 5), 828, 36]-NRT-code), using extracting embedded OOA based on digital (112, 147, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 49, 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(2¹⁴⁷, 195, F₂, 5, 34) (dual of [(195, 5), 828, 35]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁵², 196, F₂, 5, 35) (dual of [(196, 5), 828, 36]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁵⁷, 197, F₂, 5, 35) (dual of [(197, 5), 828, 36]-NRT-code)	[i]
4	Linear OOA(2¹⁶², 198, F₂, 5, 35) (dual of [(198, 5), 828, 36]-NRT-code)	[i]
5	Linear OOA(2¹⁴⁸, 195, F₂, 5, 35) (dual of [(195, 5), 827, 36]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2¹⁴⁹, 195, F₂, 5, 35) (dual of [(195, 5), 826, 36]-NRT-code)	[i]
7	Linear OOA(2¹⁵¹, 195, F₂, 5, 35) (dual of [(195, 5), 824, 36]-NRT-code)	[i]