MinT - Information on Result #2682241

Information on Result #2682241

Linear OOA(3¹⁷⁸, 130, F₃, 3, 73) (dual of [(130, 3), 212, 74]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(3¹⁷², 128, F₃, 3, 73) (dual of [(128, 3), 212, 74]-NRT-code), using

extracting embedded OOA [i] based on digital (99, 172, 128)-net over F₃, using
- trace code for nets [i] based on digital (13, 86, 64)-net over F₉, using
  - net from sequence [i] based on digital (13, 63)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, 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(3¹⁷⁹, 130, F₃, 3, 73) (dual of [(130, 3), 211, 74]-NRT-code)	[i]		OOA Duplication