MinT - Information on Result #888067

Information on Result #888067

Linear OOA(3¹⁴⁴, 252, F₃, 2, 40) (dual of [(252, 2), 360, 41]-NRT-code), using extracting embedded OOA based on digital (104, 144, 252)-net over F₃, using

trace code for nets [i] based on digital (8, 48, 84)-net over F₂₇, using
- net from sequence [i] based on digital (8, 83)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 8 and N(F) ≥ 84, 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(3¹⁴⁶, 253, F₃, 2, 40) (dual of [(253, 2), 360, 41]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁴⁵, 252, F₃, 2, 40) (dual of [(252, 2), 359, 41]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3¹⁴⁴, 126, F₃, 3, 40) (dual of [(126, 3), 234, 41]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3¹⁴⁴, 126, F₃, 4, 40) (dual of [(126, 4), 360, 41]-NRT-code)	[i]		OOA Folding