MinT - Information on Result #2703647

Information on Result #2703647

Linear OOA(9¹⁰⁹, 741, F₉, 3, 37) (dual of [(741, 3), 2114, 38]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(9¹⁰⁶, 740, F₉, 3, 37) (dual of [(740, 3), 2114, 38]-NRT-code), using

extracting embedded OOA [i] based on digital (69, 106, 740)-net over F₉, using
- trace code for nets [i] based on digital (16, 53, 370)-net over F₈₁, using
  - net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, 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(9¹¹⁰, 741, F₉, 3, 37) (dual of [(741, 3), 2113, 38]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(9¹¹¹, 741, F₉, 3, 37) (dual of [(741, 3), 2112, 38]-NRT-code)	[i]		OOA Duplication