MinT - Information on Result #1111521

Information on Result #1111521

Linear OOA(3⁶⁸, 464, F₃, 5, 15) (dual of [(464, 5), 2252, 16]-NRT-code), using extracting embedded OOA based on digital (53, 68, 464)-net over F₃, using

trace code for nets [i] based on digital (2, 17, 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(3⁶⁸, 464, F₃, 5, 14) (dual of [(464, 5), 2252, 15]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3⁷³, 465, F₃, 5, 15) (dual of [(465, 5), 2252, 16]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(3⁶⁹, 464, F₃, 5, 15) (dual of [(464, 5), 2251, 16]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(3⁷⁰, 464, F₃, 5, 15) (dual of [(464, 5), 2250, 16]-NRT-code)	[i]
5	Linear OOA(3⁷¹, 464, F₃, 5, 15) (dual of [(464, 5), 2249, 16]-NRT-code)	[i]
6	Linear OOA(3⁷⁵, 468, F₃, 5, 15) (dual of [(468, 5), 2265, 16]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs