MinT - Information on Result #1157957

Information on Result #1157957

Linear OOA(2¹⁷⁷, 195, F₂, 7, 45) (dual of [(195, 7), 1188, 46]-NRT-code), using extracting embedded OOA based on digital (132, 177, 195)-net over F₂, using

trace code for nets [i] based on digital (14, 59, 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(2¹⁷⁷, 195, F₂, 7, 44) (dual of [(195, 7), 1188, 45]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁷⁷, 195, F₂, 7, 43) (dual of [(195, 7), 1188, 44]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(2¹⁸⁴, 196, F₂, 7, 45) (dual of [(196, 7), 1188, 46]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(2¹⁹¹, 197, F₂, 7, 45) (dual of [(197, 7), 1188, 46]-NRT-code)	[i]
5	Linear OOA(2¹⁹⁸, 198, F₂, 7, 45) (dual of [(198, 7), 1188, 46]-NRT-code)	[i]
6	Linear OOA(2¹⁷⁸, 195, F₂, 7, 45) (dual of [(195, 7), 1187, 46]-NRT-code)	[i]		OOA Duplication
7	Linear OOA(2¹⁷⁹, 195, F₂, 7, 45) (dual of [(195, 7), 1186, 46]-NRT-code)	[i]
8	Linear OOA(2¹⁸¹, 195, F₂, 7, 45) (dual of [(195, 7), 1184, 46]-NRT-code)	[i]
9	Linear OOA(2¹⁸², 195, F₂, 7, 45) (dual of [(195, 7), 1183, 46]-NRT-code)	[i]
10	Linear OOA(2²⁰⁰, 200, F₂, 7, 45) (dual of [(200, 7), 1200, 46]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
11	Linear OOA(2²⁰¹, 201, F₂, 7, 45) (dual of [(201, 7), 1206, 46]-NRT-code)	[i]
12	Linear OOA(2²⁰², 202, F₂, 7, 45) (dual of [(202, 7), 1212, 46]-NRT-code)	[i]
13	Linear OOA(2²⁰³, 203, F₂, 7, 45) (dual of [(203, 7), 1218, 46]-NRT-code)	[i]