MinT - Information on Result #888160

Information on Result #888160

Linear OOA(3¹⁶², 282, F₃, 2, 44) (dual of [(282, 2), 402, 45]-NRT-code), using extracting embedded OOA based on digital (118, 162, 282)-net over F₃, using

trace code for nets [i] based on digital (10, 54, 94)-net over F₂₇, using
- net from sequence [i] based on digital (10, 93)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 10 and N(F) ≥ 94, 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(3¹⁶⁴, 283, F₃, 2, 44) (dual of [(283, 2), 402, 45]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁶³, 282, F₃, 2, 44) (dual of [(282, 2), 401, 45]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3¹⁶², 141, F₃, 3, 44) (dual of [(141, 3), 261, 45]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3¹⁶², 141, F₃, 4, 44) (dual of [(141, 4), 402, 45]-NRT-code)	[i]		OOA Folding