MinT - Information on Result #1016353

Information on Result #1016353

Linear OOA(9⁵⁸, 364, F₉, 3, 19) (dual of [(364, 3), 1034, 20]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(9¹⁸, 164, F₉, 3, 9) (dual of [(164, 3), 474, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 18, 164)-net over F₉, using
  - trace code for nets [i] based on digital (0, 9, 82)-net over F₈₁, using
    - net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
        the rational function field F₈₁(x) [i]
      - Niederreiter sequence [i]
linear OOA(9⁴⁰, 200, F₉, 3, 19) (dual of [(200, 3), 560, 20]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 40, 200)-net over F₉, using
  - trace code for nets [i] based on digital (1, 20, 100)-net over F₈₁, using
    - net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, 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(9⁵⁹, 364, F₉, 3, 19) (dual of [(364, 3), 1033, 20]-NRT-code)	[i]		OOA Duplication