MinT - Information on Result #1139952

Information on Result #1139952

Linear OOA(2⁶⁸, 132, F₂, 6, 15) (dual of [(132, 6), 724, 16]-NRT-code), using extracting embedded OOA based on digital (53, 68, 132)-net over F₂, using

trace code for nets [i] based on digital (2, 17, 33)-net over F₁₆, using
- net from sequence [i] based on digital (2, 32)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, 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(2⁶⁹, 132, F₂, 6, 15) (dual of [(132, 6), 723, 16]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(2⁷⁰, 132, F₂, 6, 15) (dual of [(132, 6), 722, 16]-NRT-code)	[i]		OOA Duplication