MinT - Information on Result #1110819

Information on Result #1110819

Linear OOA(2¹⁸⁶, 195, F₂, 5, 48) (dual of [(195, 5), 789, 49]-NRT-code), using extracting embedded OOA based on digital (138, 186, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 62, 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(2¹⁸⁶, 195, F₂, 5, 47) (dual of [(195, 5), 789, 48]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁹¹, 196, F₂, 5, 48) (dual of [(196, 5), 789, 49]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁹⁶, 197, F₂, 5, 48) (dual of [(197, 5), 789, 49]-NRT-code)	[i]
4	Linear OOA(2²⁰¹, 198, F₂, 5, 48) (dual of [(198, 5), 789, 49]-NRT-code)	[i]
5	Linear OOA(2²⁰⁶, 199, F₂, 5, 48) (dual of [(199, 5), 789, 49]-NRT-code)	[i]
6	Linear OOA(2¹⁸⁷, 195, F₂, 5, 48) (dual of [(195, 5), 788, 49]-NRT-code)	[i]		OOA Duplication
7	Linear OOA(2¹⁸⁸, 195, F₂, 5, 48) (dual of [(195, 5), 787, 49]-NRT-code)	[i]
8	Linear OOA(2¹⁹⁰, 195, F₂, 5, 48) (dual of [(195, 5), 785, 49]-NRT-code)	[i]
9	Linear OOA(2²¹⁰, 200, F₂, 5, 48) (dual of [(200, 5), 790, 49]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
10	Linear OOA(2²¹², 201, F₂, 5, 48) (dual of [(201, 5), 793, 49]-NRT-code)	[i]
11	Linear OOA(2²¹³, 202, F₂, 5, 48) (dual of [(202, 5), 797, 49]-NRT-code)	[i]
12	Linear OOA(2²¹⁴, 203, F₂, 5, 48) (dual of [(203, 5), 801, 49]-NRT-code)	[i]
13	Linear OOA(2²¹⁵, 204, F₂, 5, 48) (dual of [(204, 5), 805, 49]-NRT-code)	[i]