MinT - Information on Result #1205920

Information on Result #1205920

Digital (224, 236, 2800294)-net over F₂, using (u,Â u+v)-construction based on

digital (58, 64, 2097150)-net over F₂, using
- 1 times m-reduction [i] based on digital (58, 65, 2097150)-net over F₂, using
  - net defined by OOA [i] based on linear OOA(2⁶⁵, 2097150, F₂, 7, 7) (dual of [(2097150, 7), 14679985, 8]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(2⁶⁵, 2097151, F₂, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
      - OOAs constructed from BCH codes [i]
digital (160, 172, 1400147)-net over F₂, using
- (u,Â u+v)-construction [i] based on
  1. digital (28, 34, 2047)-net over F₂, using
    - 1 times m-reduction [i] based on digital (28, 35, 2047)-net over F₂, using
      - nets constructed from net-embeddable BCH codes [i]
  2. digital (126, 138, 1398100)-net over F₂, using
    - net defined by OOA [i] based on linear OOA(2¹³⁸, 1398100, F₂, 12, 12) (dual of [(1398100, 12), 16777062, 13]-NRT-code), using
      - OA 6-folding and stacking [i] based on linear OA(2¹³⁸, 8388600, F₂, 12) (dual of [8388600, 8388462, 13]-code), using
        discarding factors / shortening the dual code based on linear OA(2¹³⁸, large, F₂, 12) (dual of [large, large−138, 13]-code), using
        the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

None.

None.