MinT - Information on Result #2877822

Information on Result #2877822

Linear OOA(3¹⁵⁹, 159, F₃, 5, 50) (dual of [(159, 5), 636, 51]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(3¹⁴⁴, 156, F₃, 5, 50) (dual of [(156, 5), 636, 51]-NRT-code), using

extracting embedded OOA [i] based on digital (94, 144, 156)-net over F₃, using
- trace code for nets [i] based on digital (22, 72, 78)-net over F₉, using
  - net from sequence [i] based on digital (22, 77)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 22 and N(F) ≥ 78, using
      - F₃ from the tower of function fields by GarcÃa and Stichtenoth over F₉ [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(3¹⁶⁰, 159, F₃, 5, 50) (dual of [(159, 5), 635, 51]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹⁶¹, 159, F₃, 5, 50) (dual of [(159, 5), 634, 51]-NRT-code)	[i]		OOA Duplication