MinT - Information on Result #2505679

Information on Result #2505679

Linear OOA(5¹³⁸, 134, F₅, 2, 63) (dual of [(134, 2), 130, 64]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(5¹³⁴, 132, F₅, 2, 63) (dual of [(132, 2), 130, 64]-NRT-code), using

extracting embedded OOA [i] based on digital (71, 134, 132)-net over F₅, using
- trace code for nets [i] based on digital (4, 67, 66)-net over F₂₅, using
  - net from sequence [i] based on digital (4, 65)-sequence over F₂₅, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, 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, 134, F₅, 2, 63) (dual of [(134, 2), 129, 64]-NRT-code)	[i]		OOA Duplication