MinT - Information on Result #2877300

Information on Result #2877300

Linear OOA(3²²³, 691, F₃, 5, 45) (dual of [(691, 5), 3232, 46]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(3²⁰⁸, 688, F₃, 5, 45) (dual of [(688, 5), 3232, 46]-NRT-code), using

extracting embedded OOA [i] based on digital (163, 208, 688)-net over F₃, using
- trace code for nets [i] based on digital (7, 52, 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(3²²⁴, 691, F₃, 5, 45) (dual of [(691, 5), 3231, 46]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3²²⁵, 691, F₃, 5, 45) (dual of [(691, 5), 3230, 46]-NRT-code)	[i]
3	Linear OOA(3²²⁶, 691, F₃, 5, 45) (dual of [(691, 5), 3229, 46]-NRT-code)	[i]
4	Linear OOA(3²²⁷, 691, F₃, 5, 45) (dual of [(691, 5), 3228, 46]-NRT-code)	[i]