MinT - Information on Result #1175119

Information on Result #1175119

Linear OOA(2²⁵², 195, F₂, 8, 70) (dual of [(195, 8), 1308, 71]-NRT-code), using extracting embedded OOA based on digital (182, 252, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 84, 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(2²⁵², 195, F₂, 8, 69) (dual of [(195, 8), 1308, 70]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁵², 195, F₂, 8, 68) (dual of [(195, 8), 1308, 69]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2²⁶⁰, 196, F₂, 8, 70) (dual of [(196, 8), 1308, 71]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2²⁵³, 195, F₂, 8, 70) (dual of [(195, 8), 1307, 71]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(2²⁵⁴, 195, F₂, 8, 70) (dual of [(195, 8), 1306, 71]-NRT-code)	[i]
6	Linear OOA(2²⁵⁶, 195, F₂, 8, 70) (dual of [(195, 8), 1304, 71]-NRT-code)	[i]
7	Linear OOA(2²⁵⁷, 195, F₂, 8, 70) (dual of [(195, 8), 1303, 71]-NRT-code)	[i]
8	Linear OOA(2²⁵⁹, 195, F₂, 8, 70) (dual of [(195, 8), 1301, 71]-NRT-code)	[i]