MinT - Information on Result #1140416

Information on Result #1140416

Linear OOA(2¹²⁶, 195, F₂, 6, 28) (dual of [(195, 6), 1044, 29]-NRT-code), using extracting embedded OOA based on digital (98, 126, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 42, 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(2¹²⁶, 195, F₂, 6, 27) (dual of [(195, 6), 1044, 28]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹³², 196, F₂, 6, 28) (dual of [(196, 6), 1044, 29]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹²⁷, 195, F₂, 6, 28) (dual of [(195, 6), 1043, 29]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(2¹²⁸, 195, F₂, 6, 28) (dual of [(195, 6), 1042, 29]-NRT-code)	[i]
5	Linear OOA(2¹³⁰, 195, F₂, 6, 28) (dual of [(195, 6), 1040, 29]-NRT-code)	[i]
6	Linear OOA(2¹³¹, 195, F₂, 6, 28) (dual of [(195, 6), 1039, 29]-NRT-code)	[i]