MinT - Information on Result #986351

Information on Result #986351

Linear OOA(9¹³², 384, F₉, 3, 39) (dual of [(384, 3), 1020, 40]-NRT-code), using OOA 2-folding based on linear OOA(9¹³², 768, F₉, 2, 39) (dual of [(768, 2), 1404, 40]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(9²², 28, F₉, 2, 19) (dual of [(28, 2), 34, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,36P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
    - the Hermitian function field over F₉ [i]
2. linear OOA(9¹¹⁰, 740, F₉, 2, 39) (dual of [(740, 2), 1370, 40]-NRT-code), using
  - extracting embedded OOA [i] based on digital (71, 110, 740)-net over F₉, using
    - trace code for nets [i] based on digital (16, 55, 370)-net over F₈₁, using
      - net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
        a function field by GarcÃa and Quoos [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

None.