MinT - Information on Result #2680693

Information on Result #2680693

Linear OOA(3²⁴⁷, 689, F₃, 3, 54) (dual of [(689, 3), 1820, 55]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²⁴⁴, 688, F₃, 3, 54) (dual of [(688, 3), 1820, 55]-NRT-code), using

extracting embedded OOA [i] based on digital (190, 244, 688)-net over F₃, using
- trace code for nets [i] based on digital (7, 61, 172)-net over F₈₁, using
  - net from sequence [i] based on digital (7, 171)-sequence over F₈₁, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172, using
      - a function field by SÃ©mirat [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(3²⁴⁸, 689, F₃, 3, 54) (dual of [(689, 3), 1819, 55]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²⁴⁹, 689, F₃, 3, 54) (dual of [(689, 3), 1818, 55]-NRT-code)	[i]		OOA Duplication