MinT - Information on Result #1013467

Information on Result #1013467

Linear OOA(5⁹², 304, F₅, 3, 24) (dual of [(304, 3), 820, 25]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(5²⁴, 52, F₅, 3, 12) (dual of [(52, 3), 132, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 24, 52)-net over F₅, using
  - trace code for nets [i] based on digital (0, 12, 26)-net over F₂₅, using
    - net from sequence [i] based on digital (0, 25)-sequence over F₂₅, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using
        the rational function field F₂₅(x) [i]
      - Niederreiter sequence [i]
linear OOA(5⁶⁸, 252, F₅, 3, 24) (dual of [(252, 3), 688, 25]-NRT-code), using
- extracting embedded OOA [i] based on digital (44, 68, 252)-net over F₅, using
  - trace code for nets [i] based on digital (10, 34, 126)-net over F₂₅, using
    - net from sequence [i] based on digital (10, 125)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
        the Hermitian function field over F₂₅ [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(5⁹³, 304, F₅, 3, 24) (dual of [(304, 3), 819, 25]-NRT-code)	[i]		OOA Duplication