MinT - Information on Result #888053

Information on Result #888053

Linear OOA(3¹⁴¹, 246, F₃, 2, 40) (dual of [(246, 2), 351, 41]-NRT-code), using extracting embedded OOA based on digital (101, 141, 246)-net over F₃, using

trace code for nets [i] based on digital (7, 47, 82)-net over F₂₇, using
- net from sequence [i] based on digital (7, 81)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 7 and N(F) ≥ 82, 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(3¹⁴³, 247, F₃, 2, 40) (dual of [(247, 2), 351, 41]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁴², 246, F₃, 2, 40) (dual of [(246, 2), 350, 41]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3¹⁴¹, 123, F₃, 3, 40) (dual of [(123, 3), 228, 41]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3¹⁴¹, 123, F₃, 4, 40) (dual of [(123, 4), 351, 41]-NRT-code)	[i]		OOA Folding