MinT - Information on Result #888463

Information on Result #888463

Linear OOA(3²²⁴, 640, F₃, 2, 51) (dual of [(640, 2), 1056, 52]-NRT-code), using extracting embedded OOA based on digital (173, 224, 640)-net over F₃, using

trace code for nets [i] based on digital (5, 56, 160)-net over F₈₁, using
- net from sequence [i] based on digital (5, 159)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 5 and N(F) ≥ 160, 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(3²²⁶, 641, F₃, 2, 51) (dual of [(641, 2), 1056, 52]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3²²⁸, 642, F₃, 2, 51) (dual of [(642, 2), 1056, 52]-NRT-code)	[i]
3	Linear OOA(3²³⁰, 643, F₃, 2, 51) (dual of [(643, 2), 1056, 52]-NRT-code)	[i]
4	Linear OOA(3²²⁵, 640, F₃, 2, 51) (dual of [(640, 2), 1055, 52]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3²²⁴, 320, F₃, 3, 51) (dual of [(320, 3), 736, 52]-NRT-code)	[i]		OOA Folding
6	Linear OOA(3²²⁴, 320, F₃, 4, 51) (dual of [(320, 4), 1056, 52]-NRT-code)	[i]		OOA Folding