MinT - Information on Result #887480

Information on Result #887480

Linear OOA(3²⁴, 40, F₃, 2, 10) (dual of [(40, 2), 56, 11]-NRT-code), using extracting embedded OOA based on digital (14, 24, 40)-net over F₃, using

trace code for nets [i] based on digital (2, 12, 20)-net over F₉, using
- net from sequence [i] based on digital (2, 19)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 2 and N(F) ≥ 20, using
    - a function field by GarcÃa and Quoos [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(3²²⁰, 4194341, F₃, 2, 20) (dual of [(4194341, 2), 8388462, 21]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(3²³⁴, 4194341, F₃, 2, 21) (dual of [(4194341, 2), 8388448, 22]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(3²⁴, 20, F₃, 3, 10) (dual of [(20, 3), 36, 11]-NRT-code)	[i]		OOA Folding
4	Linear OOA(3²⁴, 20, F₃, 4, 10) (dual of [(20, 4), 56, 11]-NRT-code)	[i]		OOA Folding