MinT - Information on Result #1192257

Information on Result #1192257

Linear OOA(8¹⁴⁵, 932078, F₈, 21, 19) (dual of [(932078, 21), 19573493, 20]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(8¹⁴⁵, 2796235, F₈, 3, 19) (dual of [(2796235, 3), 8388560, 20]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8¹⁴⁵, 2796237, F₈, 3, 19) (dual of [(2796237, 3), 8388566, 20]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8¹⁶, 36, F₈, 3, 9) (dual of [(36, 3), 92, 10]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 16, 36)-net over F₈, using
      - 1 times m-reduction [i] based on digital (7, 17, 36)-net over F₈, using
        Niederreiter sequence (Bratleyâ€“Foxâ€“Niederreiter implementation) [i]
  2. linear OOA(8¹²⁹, 2796201, F₈, 3, 19) (dual of [(2796201, 3), 8388474, 20]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(8¹²⁹, large, F₈, 19) (dual of [large, large−129, 20]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 8¹⁶âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [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 (126, 145, 932078)-net over F₈	[i]		Net Defined by OOA