MinT - Information on Result #888068

Information on Result #888068

Linear OOA(3¹⁴⁴, 264, F₃, 2, 39) (dual of [(264, 2), 384, 40]-NRT-code), using extracting embedded OOA based on digital (105, 144, 264)-net over F₃, using

trace code for nets [i] based on digital (9, 48, 88)-net over F₂₇, using
- net from sequence [i] based on digital (9, 87)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 9 and N(F) ≥ 88, 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, 265, F₃, 2, 39) (dual of [(265, 2), 384, 40]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁴⁵, 264, F₃, 2, 39) (dual of [(264, 2), 383, 40]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3¹⁴⁴, 132, F₃, 3, 39) (dual of [(132, 3), 252, 40]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3¹⁴⁴, 132, F₃, 4, 39) (dual of [(132, 4), 384, 40]-NRT-code)	[i]		OOA Folding