MinT - Information on Result #2668889

Information on Result #2668889

Linear OOA(2¹⁵⁹, 197, F₂, 3, 37) (dual of [(197, 3), 432, 38]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2¹⁵³, 195, F₂, 3, 37) (dual of [(195, 3), 432, 38]-NRT-code), using

extracting embedded OOA [i] based on digital (116, 153, 195)-net over F₂, using
- trace code for nets [i] based on digital (14, 51, 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(2¹⁶⁰, 197, F₂, 3, 37) (dual of [(197, 3), 431, 38]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁶¹, 197, F₂, 3, 37) (dual of [(197, 3), 430, 38]-NRT-code)	[i]		OOA Duplication