MinT - Information on Result #1184984

Information on Result #1184984

Digital (208, 229, 838870)-net over F₃, using net defined by OOA based on linear OOA(3²²⁹, 838870, F₃, 25, 21) (dual of [(838870, 25), 20971521, 22]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3²²⁹, 1677741, F₃, 5, 21) (dual of [(1677741, 5), 8388476, 22]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁹, 21, F₃, 5, 10) (dual of [(21, 5), 86, 11]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 19, 21)-net over F₃, using
      - 2 times m-reduction [i] based on digital (9, 21, 21)-net over F₃, using
        a shift-net [i]
  2. linear OOA(3²¹⁰, 1677720, F₃, 5, 21) (dual of [(1677720, 5), 8388390, 22]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(3²¹⁰, 8388600, F₃, 21) (dual of [8388600, 8388390, 22]-code), using
      - discarding factors / shortening the dual code based on linear OA(3²¹⁰, large, F₃, 21) (dual of [large, large−210, 22]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [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.