MinT - Information on Result #2671695

Information on Result #2671695

Linear OOA(2²²⁸, 145, F₂, 3, 64) (dual of [(145, 3), 207, 65]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2²²⁵, 144, F₂, 3, 64) (dual of [(144, 3), 207, 65]-NRT-code), using

extracting embedded OOA [i] based on digital (161, 225, 144)-net over F₂, using
- trace code for nets [i] based on digital (11, 75, 48)-net over F₈, using
  - net from sequence [i] based on digital (11, 47)-sequence over F₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, 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(2²²⁹, 145, F₂, 3, 64) (dual of [(145, 3), 206, 65]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2²³⁰, 145, F₂, 3, 64) (dual of [(145, 3), 205, 65]-NRT-code)	[i]		OOA Duplication