MinT - Information on Result #1112172

Information on Result #1112172

Linear OOA(3¹⁴², 80, F₃, 5, 63) (dual of [(80, 5), 258, 64]-NRT-code), using extracting embedded OOA based on digital (79, 142, 80)-net over F₃, using

trace code for nets [i] based on digital (8, 71, 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(3¹⁴², 80, F₃, 5, 62) (dual of [(80, 5), 258, 63]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁴², 80, F₃, 5, 61) (dual of [(80, 5), 258, 62]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3¹⁴⁷, 81, F₃, 5, 63) (dual of [(81, 5), 258, 64]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(3¹⁴³, 80, F₃, 5, 63) (dual of [(80, 5), 257, 64]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3¹⁴⁵, 80, F₃, 5, 63) (dual of [(80, 5), 255, 64]-NRT-code)	[i]		OOA Duplication