MinT - Information on Result #2695909

Information on Result #2695909

Linear OOA(5¹³⁷, 409, F₅, 3, 37) (dual of [(409, 3), 1090, 38]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(5¹³⁴, 408, F₅, 3, 37) (dual of [(408, 3), 1090, 38]-NRT-code), using

extracting embedded OOA [i] based on digital (97, 134, 408)-net over F₅, using
- trace code for nets [i] based on digital (30, 67, 204)-net over F₂₅, using
  - net from sequence [i] based on digital (30, 203)-sequence over F₂₅, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 30 and N(F) ≥ 204, 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(5¹³⁸, 409, F₅, 3, 37) (dual of [(409, 3), 1089, 38]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(5¹³⁹, 409, F₅, 3, 37) (dual of [(409, 3), 1088, 38]-NRT-code)	[i]		OOA Duplication