MinT - Information on Result #2670300

Information on Result #2670300

Linear OOA(2²³³, 263, F₂, 3, 50) (dual of [(263, 3), 556, 51]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(2²²⁴, 260, F₂, 3, 50) (dual of [(260, 3), 556, 51]-NRT-code), using

extracting embedded OOA [i] based on digital (174, 224, 260)-net over F₂, using
- trace code for nets [i] based on digital (6, 56, 65)-net over F₁₆, using
  - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [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(2²³⁴, 263, F₂, 3, 50) (dual of [(263, 3), 555, 51]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²³⁵, 263, F₂, 3, 50) (dual of [(263, 3), 554, 51]-NRT-code)	[i]		OOA Duplication