MinT - Information on Result #887986

Information on Result #887986

Linear OOA(3¹²⁶, 204, F₃, 2, 37) (dual of [(204, 2), 282, 38]-NRT-code), using extracting embedded OOA based on digital (89, 126, 204)-net over F₃, using

trace code for nets [i] based on digital (5, 42, 68)-net over F₂₇, using
- net from sequence [i] based on digital (5, 67)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 5 and N(F) ≥ 68, 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(3¹²⁸, 205, F₃, 2, 37) (dual of [(205, 2), 282, 38]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹²⁷, 204, F₃, 2, 37) (dual of [(204, 2), 281, 38]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3¹²⁶, 102, F₃, 3, 37) (dual of [(102, 3), 180, 38]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3¹²⁶, 102, F₃, 4, 37) (dual of [(102, 4), 282, 38]-NRT-code)	[i]		OOA Folding