MinT - Information on Result #1173716

Information on Result #1173716

Linear OOA(2¹⁶⁸, 195, F₂, 8, 42) (dual of [(195, 8), 1392, 43]-NRT-code), using extracting embedded OOA based on digital (126, 168, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 56, 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(2¹⁶⁸, 195, F₂, 8, 41) (dual of [(195, 8), 1392, 42]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁶⁸, 195, F₂, 8, 40) (dual of [(195, 8), 1392, 41]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2¹⁷⁶, 196, F₂, 8, 42) (dual of [(196, 8), 1392, 43]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2¹⁸⁴, 197, F₂, 8, 42) (dual of [(197, 8), 1392, 43]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(2¹⁶⁹, 195, F₂, 8, 42) (dual of [(195, 8), 1391, 43]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2¹⁷⁰, 195, F₂, 8, 42) (dual of [(195, 8), 1390, 43]-NRT-code)	[i]
7	Linear OOA(2¹⁷², 195, F₂, 8, 42) (dual of [(195, 8), 1388, 43]-NRT-code)	[i]
8	Linear OOA(2¹⁷³, 195, F₂, 8, 42) (dual of [(195, 8), 1387, 43]-NRT-code)	[i]
9	Linear OOA(2¹⁷⁵, 195, F₂, 8, 42) (dual of [(195, 8), 1385, 43]-NRT-code)	[i]
10	Linear OOA(2¹⁸⁹, 198, F₂, 8, 42) (dual of [(198, 8), 1395, 43]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
11	Linear OOA(2¹⁹⁰, 200, F₂, 8, 42) (dual of [(200, 8), 1410, 43]-NRT-code)	[i]
12	Linear OOA(2¹⁹¹, 201, F₂, 8, 42) (dual of [(201, 8), 1417, 43]-NRT-code)	[i]