MinT - Information on Result #1842673

Information on Result #1842673

(107, 132, 4969)-net in base 9, using (u,Â u+v)-construction based on

(9, 21, 48)-net in base 9, using
- base change [i] based on digital (2, 14, 48)-net over F₂₇, using
  - net from sequence [i] based on digital (2, 47)-sequence over F₂₇, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, using
      - a function field by GarcÃa and Quoos [i]
digital (86, 111, 4921)-net over F₉, using
- net defined by OOA [i] based on linear OOA(9¹¹¹, 4921, F₉, 25, 25) (dual of [(4921, 25), 122914, 26]-NRT-code), using
  - OOA 12-folding and stacking with additional row [i] based on linear OA(9¹¹¹, 59053, F₉, 25) (dual of [59053, 58942, 26]-code), using
    - discarding factors / shortening the dual code based on linear OA(9¹¹¹, 59054, F₉, 25) (dual of [59054, 58943, 26]-code), using
      - constructionÂ X applied to C_e(24) âŠ‚ C_e(23) [i] based on
        linear OA(9¹¹¹, 59049, F₉, 25) (dual of [59049, 58938, 26]-code), using an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 9⁵âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [i]
        linear OA(9¹⁰⁶, 59049, F₉, 24) (dual of [59049, 58943, 25]-code), using an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 59048Â = 9⁵âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]
        linear OA(9⁰, 5, F₉, 0) (dual of [5, 5, 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.

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.