MinT - Information on Result #887863

Information on Result #887863

Linear OOA(3⁹⁹, 228, F₃, 2, 27) (dual of [(228, 2), 357, 28]-NRT-code), using extracting embedded OOA based on digital (72, 99, 228)-net over F₃, using

trace code for nets [i] based on digital (6, 33, 76)-net over F₂₇, using
- net from sequence [i] based on digital (6, 75)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 6 and N(F) ≥ 76, 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(3¹⁰¹, 229, F₃, 2, 27) (dual of [(229, 2), 357, 28]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁰⁰, 228, F₃, 2, 27) (dual of [(228, 2), 356, 28]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3⁹⁹, 114, F₃, 3, 27) (dual of [(114, 3), 243, 28]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3⁹⁹, 114, F₃, 4, 27) (dual of [(114, 4), 357, 28]-NRT-code)	[i]		OOA Folding