MinT - Information on Result #1715334

Information on Result #1715334

Digital (219, 243, 735539)-net over F₃, using net defined by OOA based on linear OOA(3²⁴³, 735539, F₃, 28, 24) (dual of [(735539, 28), 20594849, 25]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²⁴³, 2206618, F₃, 4, 24) (dual of [(2206618, 4), 8826229, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁴³, 2206620, F₃, 4, 24) (dual of [(2206620, 4), 8826237, 25]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3²⁴³, 2206620, F₃, 3, 24) (dual of [(2206620, 3), 6619617, 25]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3²⁴³, 2796202, F₃, 3, 24) (dual of [(2796202, 3), 8388363, 25]-NRT-code), using
      - 1 times NRT-code embedding in larger space [i] based on linear OOA(3²⁴⁰, 2796201, F₃, 3, 24) (dual of [(2796201, 3), 8388363, 25]-NRT-code), using
        OOA 3-folding [i] based on linear OA(3²⁴⁰, large, F₃, 24) (dual of [large, large−240, 25]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [i]

Mode: 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.