MinT - Information on Result #1113173

Information on Result #1113173

Linear OOA(3²⁰⁴, 464, F₃, 5, 49) (dual of [(464, 5), 2116, 50]-NRT-code), using extracting embedded OOA based on digital (155, 204, 464)-net over F₃, using

trace code for nets [i] based on digital (2, 51, 116)-net over F₈₁, using
- net from sequence [i] based on digital (2, 115)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116, 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(3²⁰⁴, 464, F₃, 5, 48) (dual of [(464, 5), 2116, 49]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁰⁹, 465, F₃, 5, 49) (dual of [(465, 5), 2116, 50]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(3²⁰⁵, 464, F₃, 5, 49) (dual of [(464, 5), 2115, 50]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(3²⁰⁶, 464, F₃, 5, 49) (dual of [(464, 5), 2114, 50]-NRT-code)	[i]
5	Linear OOA(3²⁰⁷, 464, F₃, 5, 49) (dual of [(464, 5), 2113, 50]-NRT-code)	[i]