MinT - Information on Result #887935

Information on Result #887935

Linear OOA(3¹¹⁴, 228, F₃, 2, 32) (dual of [(228, 2), 342, 33]-NRT-code), using extracting embedded OOA based on digital (82, 114, 228)-net over F₃, using

trace code for nets [i] based on digital (6, 38, 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(3¹¹⁶, 229, F₃, 2, 32) (dual of [(229, 2), 342, 33]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹¹⁵, 228, F₃, 2, 32) (dual of [(228, 2), 341, 33]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3¹¹⁴, 114, F₃, 3, 32) (dual of [(114, 3), 228, 33]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3¹¹⁴, 114, F₃, 4, 32) (dual of [(114, 4), 342, 33]-NRT-code)	[i]		OOA Folding