MinT - Information on Result #2791446

Information on Result #2791446

Linear OOA(2²³⁹, 321, F₂, 4, 44) (dual of [(321, 4), 1045, 45]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²³⁵, 320, F₂, 4, 44) (dual of [(320, 4), 1045, 45]-NRT-code), using

extracting embedded OOA [i] based on digital (191, 235, 320)-net over F₂, using
- trace code for nets [i] based on digital (3, 47, 64)-net over F₃₂, using
  - net from sequence [i] based on digital (3, 63)-sequence over F₃₂, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 3 and N(F) ≥ 64, using
      - a function field by SÃ©mirat [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(2²⁴⁰, 321, F₂, 4, 44) (dual of [(321, 4), 1044, 45]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²⁴¹, 321, F₂, 4, 44) (dual of [(321, 4), 1043, 45]-NRT-code)	[i]		OOA Duplication