MinT - Information on Result #888085

Information on Result #888085

Linear OOA(3¹⁴⁸, 148, F₃, 2, 57) (dual of [(148, 2), 148, 58]-NRT-code), using extracting embedded OOA based on digital (91, 148, 148)-net over F₃, using

trace code for nets [i] based on digital (17, 74, 74)-net over F₉, using
- net from sequence [i] based on digital (17, 73)-sequence over F₉, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
    - a function field by GarcÃa and Quoos [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(3¹⁵⁰, 149, F₃, 2, 57) (dual of [(149, 2), 148, 58]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁵², 150, F₃, 2, 57) (dual of [(150, 2), 148, 58]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(3¹⁴⁹, 148, F₃, 2, 57) (dual of [(148, 2), 147, 58]-NRT-code)	[i]		OOA Duplication
4	Linear OOA(3¹⁴⁸, 74, F₃, 3, 57) (dual of [(74, 3), 74, 58]-NRT-code)	[i]		OOA Folding
5	Linear OOA(3¹⁴⁸, 74, F₃, 4, 57) (dual of [(74, 4), 148, 58]-NRT-code)	[i]		OOA Folding