MinT - Information on Result #3000513

Information on Result #3000513

Linear OOA(2²⁰⁸, 197, F₂, 8, 50) (dual of [(197, 8), 1368, 51]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2¹⁹², 195, F₂, 8, 50) (dual of [(195, 8), 1368, 51]-NRT-code), using

extracting embedded OOA [i] based on digital (142, 192, 195)-net over F₂, using
- trace code for nets [i] based on digital (14, 64, 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		Method
1	Linear OOA(2²⁰⁹, 197, F₂, 8, 50) (dual of [(197, 8), 1367, 51]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²¹⁰, 197, F₂, 8, 50) (dual of [(197, 8), 1366, 51]-NRT-code)	[i]
3	Linear OOA(2²¹¹, 197, F₂, 8, 50) (dual of [(197, 8), 1365, 51]-NRT-code)	[i]
4	Linear OOA(2²¹², 197, F₂, 8, 50) (dual of [(197, 8), 1364, 51]-NRT-code)	[i]
5	Linear OOA(2²¹³, 197, F₂, 8, 50) (dual of [(197, 8), 1363, 51]-NRT-code)	[i]
6	Linear OOA(2²¹⁴, 197, F₂, 8, 50) (dual of [(197, 8), 1362, 51]-NRT-code)	[i]
7	Linear OOA(2²¹⁵, 197, F₂, 8, 50) (dual of [(197, 8), 1361, 51]-NRT-code)	[i]