MinT - Information on Result #1075890

Information on Result #1075890

Linear OOA(3⁵⁷, 144, F₃, 4, 17) (dual of [(144, 4), 519, 18]-NRT-code), using extracting embedded OOA based on digital (40, 57, 144)-net over F₃, using

trace code for nets [i] based on digital (2, 19, 48)-net over F₂₇, using
- net from sequence [i] based on digital (2, 47)-sequence over F₂₇, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, 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(3⁵⁸, 144, F₃, 4, 17) (dual of [(144, 4), 518, 18]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3⁵⁹, 144, F₃, 4, 17) (dual of [(144, 4), 517, 18]-NRT-code)	[i]		OOA Duplication