MinT - Information on Result #1112068

Information on Result #1112068

Linear OOA(3¹³², 80, F₃, 5, 58) (dual of [(80, 5), 268, 59]-NRT-code), using extracting embedded OOA based on digital (74, 132, 80)-net over F₃, using

trace code for nets [i] based on digital (8, 66, 40)-net over F₉, using
- net from sequence [i] based on digital (8, 39)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, 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(3¹³², 80, F₃, 5, 57) (dual of [(80, 5), 268, 58]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹³², 80, F₃, 5, 56) (dual of [(80, 5), 268, 57]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3¹³⁷, 81, F₃, 5, 58) (dual of [(81, 5), 268, 59]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(3¹³³, 80, F₃, 5, 58) (dual of [(80, 5), 267, 59]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3¹³⁵, 80, F₃, 5, 58) (dual of [(80, 5), 265, 59]-NRT-code)	[i]		OOA Duplication