MinT - Information on Result #887684

Information on Result #887684

Linear OOA(3⁶⁶, 192, F₃, 2, 18) (dual of [(192, 2), 318, 19]-NRT-code), using extracting embedded OOA based on digital (48, 66, 192)-net over F₃, using

trace code for nets [i] based on digital (4, 22, 64)-net over F₂₇, using
- net from sequence [i] based on digital (4, 63)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, 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(3⁶⁸, 193, F₃, 2, 18) (dual of [(193, 2), 318, 19]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3⁶⁷, 192, F₃, 2, 18) (dual of [(192, 2), 317, 19]-NRT-code)	[i]		OOA Duplication
3	Linear OOA(3⁶⁶, 96, F₃, 3, 18) (dual of [(96, 3), 222, 19]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3⁶⁶, 96, F₃, 4, 18) (dual of [(96, 4), 318, 19]-NRT-code)	[i]		OOA Folding