MinT - Information on Result #1016298

Information on Result #1016298

Linear OOA(9⁵⁶, 432, F₉, 3, 17) (dual of [(432, 3), 1240, 18]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(9¹⁸, 200, F₉, 3, 8) (dual of [(200, 3), 582, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 18, 200)-net over F₉, using
  - trace code for nets [i] based on digital (1, 9, 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]
linear OOA(9³⁸, 232, F₉, 3, 17) (dual of [(232, 3), 658, 18]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 38, 232)-net over F₉, using
  - trace code for nets [i] based on digital (2, 19, 116)-net over F₈₁, using
    - net from sequence [i] based on digital (2, 115)-sequence over F₈₁, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116, 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(9⁵⁷, 432, F₉, 3, 17) (dual of [(432, 3), 1239, 18]-NRT-code)	[i]		OOA Duplication