MinT - Information on Result #2792040

Information on Result #2792040

Linear OOA(2¹⁵⁴, 72, F₂, 4, 50) (dual of [(72, 4), 134, 51]-NRT-code), using 6 times NRT-code embedding in larger space based on linear OOA(2¹³⁰, 66, F₂, 4, 50) (dual of [(66, 4), 134, 51]-NRT-code), using

extracting embedded OOA [i] based on digital (80, 130, 66)-net over F₂, using
- trace code for nets [i] based on digital (15, 65, 33)-net over F₄, using
  - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [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(2¹⁵⁵, 72, F₂, 4, 50) (dual of [(72, 4), 133, 51]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2¹⁵⁶, 72, F₂, 4, 50) (dual of [(72, 4), 132, 51]-NRT-code)	[i]		OOA Duplication