MinT - Information on Result #888483

Information on Result #888483

Linear OOA(3²²⁸, 600, F₃, 2, 53) (dual of [(600, 2), 972, 54]-NRT-code), using extracting embedded OOA based on digital (175, 228, 600)-net over F₃, using

trace code for nets [i] based on digital (4, 57, 150)-net over F₈₁, using
- net from sequence [i] based on digital (4, 149)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 4 and N(F) ≥ 150, 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(3²³⁰, 601, F₃, 2, 53) (dual of [(601, 2), 972, 54]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3²²⁹, 600, F₃, 2, 53) (dual of [(600, 2), 971, 54]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3²²⁸, 300, F₃, 3, 53) (dual of [(300, 3), 672, 54]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3²²⁸, 300, F₃, 4, 53) (dual of [(300, 4), 972, 54]-NRT-code)	[i]		OOA Folding