MinT - Information on Result #888125

Information on Result #888125

Linear OOA(3¹⁵⁶, 246, F₃, 2, 45) (dual of [(246, 2), 336, 46]-NRT-code), using extracting embedded OOA based on digital (111, 156, 246)-net over F₃, using

trace code for nets [i] based on digital (7, 52, 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(3¹⁵⁸, 247, F₃, 2, 45) (dual of [(247, 2), 336, 46]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁵⁷, 246, F₃, 2, 45) (dual of [(246, 2), 335, 46]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3¹⁵⁶, 123, F₃, 3, 45) (dual of [(123, 3), 213, 46]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3¹⁵⁶, 123, F₃, 4, 45) (dual of [(123, 4), 336, 46]-NRT-code)	[i]		OOA Folding