MinT - Information on Result #2696406

Information on Result #2696406

Linear OOA(5¹³⁸, 298, F₅, 3, 47) (dual of [(298, 3), 756, 48]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(5¹³², 296, F₅, 3, 47) (dual of [(296, 3), 756, 48]-NRT-code), using

extracting embedded OOA [i] based on digital (85, 132, 296)-net over F₅, using
- trace code for nets [i] based on digital (19, 66, 148)-net over F₂₅, using
  - net from sequence [i] based on digital (19, 147)-sequence over F₂₅, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148, 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(5¹³⁹, 298, F₅, 3, 47) (dual of [(298, 3), 755, 48]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(5¹⁴⁰, 298, F₅, 3, 47) (dual of [(298, 3), 754, 48]-NRT-code)	[i]		OOA Duplication