MinT - Information on Result #887490

Information on Result #887490

Linear OOA(3²⁶, 40, F₃, 2, 11) (dual of [(40, 2), 54, 12]-NRT-code), using extracting embedded OOA based on digital (15, 26, 40)-net over F₃, using

trace code for nets [i] based on digital (2, 13, 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(3²³⁷, 4194341, F₃, 2, 22) (dual of [(4194341, 2), 8388445, 23]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(3²⁶, 20, F₃, 3, 11) (dual of [(20, 3), 34, 12]-NRT-code)	[i]		OOA Folding
3	Linear OOA(3²⁶, 20, F₃, 4, 11) (dual of [(20, 4), 54, 12]-NRT-code)	[i]		OOA Folding