MinT - Information on Result #1075658

Information on Result #1075658

Linear OOA(3²⁴, 56, F₃, 4, 9) (dual of [(56, 4), 200, 10]-NRT-code), using extracting embedded OOA based on digital (15, 24, 56)-net over F₃, using

trace code for nets [i] based on digital (3, 12, 28)-net over F₉, using
- net from sequence [i] based on digital (3, 27)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
    - the Hermitian function field over F₉ [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(3²⁵, 56, F₃, 4, 9) (dual of [(56, 4), 199, 10]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²⁰⁴, 2097206, F₃, 4, 18) (dual of [(2097206, 4), 8388620, 19]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
3	Linear OOA(3²⁴⁸, 2391540, F₃, 4, 18) (dual of [(2391540, 4), 9565912, 19]-NRT-code)	[i]
4	Linear OOA(3²⁰⁵, 2097206, F₃, 4, 19) (dual of [(2097206, 4), 8388619, 20]-NRT-code)	[i]
5	Linear OOA(3²⁵⁰, 2391541, F₃, 4, 19) (dual of [(2391541, 4), 9565914, 20]-NRT-code)	[i]
6	Linear OOA(3²⁴, 55, F₃, 5, 9) (dual of [(55, 5), 251, 10]-NRT-code)	[i]		OOA Stacking with Additional Row