MinT - Information on Result #1217747

Information on Result #1217747

Digital (104, 126, 48323)-net over F₉, using (u,Â u+v)-construction based on

digital (0, 11, 10)-net over F₉, using
- net from sequence [i] based on digital (0, 9)-sequence over F₉, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 0 and N(F) ≥ 10, using
    - the rational function field F₉(x) [i]
  - Niederreiter sequence [i]
digital (93, 115, 48313)-net over F₉, using
- net defined by OOA [i] based on linear OOA(9¹¹⁵, 48313, F₉, 22, 22) (dual of [(48313, 22), 1062771, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(9¹¹⁵, 531443, F₉, 22) (dual of [531443, 531328, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹¹⁵, 531447, F₉, 22) (dual of [531447, 531332, 23]-code), using
      - constructionÂ X applied to C_e(21) âŠ‚ C_e(20) [i] based on
        linear OA(9¹¹⁵, 531441, F₉, 22) (dual of [531441, 531326, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 9⁶âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
        linear OA(9¹⁰⁹, 531441, F₉, 21) (dual of [531441, 531332, 22]-code), using an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 9⁶âˆ’1, defining interval IÂ =Â [1,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]
        linear OA(9⁰, 6, F₉, 0) (dual of [6, 6, 1]-code), using
        discarding factors / shortening the dual code based on linear OA(9⁰, s, F₉, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
        OA with only one run / dual of code without redundancy [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.