MinT - Information on Result #1112694

Information on Result #1112694

Linear OOA(3¹⁸⁰, 640, F₃, 5, 40) (dual of [(640, 5), 3020, 41]-NRT-code), using extracting embedded OOA based on digital (140, 180, 640)-net over F₃, using

trace code for nets [i] based on digital (5, 45, 160)-net over F₈₁, using
- net from sequence [i] based on digital (5, 159)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 5 and N(F) ≥ 160, 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(3¹⁸⁰, 640, F₃, 5, 39) (dual of [(640, 5), 3020, 40]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁸⁵, 641, F₃, 5, 40) (dual of [(641, 5), 3020, 41]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(3¹⁸¹, 640, F₃, 5, 40) (dual of [(640, 5), 3019, 41]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(3¹⁸², 640, F₃, 5, 40) (dual of [(640, 5), 3018, 41]-NRT-code)	[i]
5	Linear OOA(3¹⁸³, 640, F₃, 5, 40) (dual of [(640, 5), 3017, 41]-NRT-code)	[i]