MinT - Information on Result #2680206

Information on Result #2680206

Linear OOA(3¹³⁷, 149, F₃, 3, 50) (dual of [(149, 3), 310, 51]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹³⁴, 148, F₃, 3, 50) (dual of [(148, 3), 310, 51]-NRT-code), using

extracting embedded OOA [i] based on digital (84, 134, 148)-net over F₃, using
- trace code for nets [i] based on digital (17, 67, 74)-net over F₉, using
  - net from sequence [i] based on digital (17, 73)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, 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(3¹³⁸, 149, F₃, 3, 50) (dual of [(149, 3), 309, 51]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹³⁹, 149, F₃, 3, 50) (dual of [(149, 3), 308, 51]-NRT-code)	[i]		OOA Duplication