MinT - Information on Result #1184983

Information on Result #1184983

Linear OOA(3²²⁹, 838870, F₃, 25, 21) (dual of [(838870, 25), 20971521, 22]-NRT-code), using OOA 2-folding and stacking with additional row 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.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (208, 229, 838870)-net over F₃	[i]		Net Defined by OOA