MinT - Information on Result #2868835

Information on Result #2868835

Linear OOA(2²²⁶, 200, F₂, 5, 53) (dual of [(200, 5), 774, 54]-NRT-code), using 5 times NRT-code embedding in larger space based on linear OOA(2²⁰¹, 195, F₂, 5, 53) (dual of [(195, 5), 774, 54]-NRT-code), using

extracting embedded OOA [i] based on digital (148, 201, 195)-net over F₂, using
- trace code for nets [i] based on digital (14, 67, 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(2²²⁷, 200, F₂, 5, 53) (dual of [(200, 5), 773, 54]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²²⁸, 200, F₂, 5, 53) (dual of [(200, 5), 772, 54]-NRT-code)	[i]		OOA Duplication