MinT - Information on Result #2876603

Information on Result #2876603

Linear OOA(3¹⁸⁹, 689, F₃, 5, 39) (dual of [(689, 5), 3256, 40]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹⁸⁴, 688, F₃, 5, 39) (dual of [(688, 5), 3256, 40]-NRT-code), using

extracting embedded OOA [i] based on digital (145, 184, 688)-net over F₃, using
- trace code for nets [i] based on digital (7, 46, 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		Method
1	Linear OOA(3¹⁹⁰, 689, F₃, 5, 39) (dual of [(689, 5), 3255, 40]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3¹⁹¹, 689, F₃, 5, 39) (dual of [(689, 5), 3254, 40]-NRT-code)	[i]
3	Linear OOA(3¹⁹², 689, F₃, 5, 39) (dual of [(689, 5), 3253, 40]-NRT-code)	[i]
4	Linear OOA(3¹⁹³, 689, F₃, 5, 39) (dual of [(689, 5), 3252, 40]-NRT-code)	[i]