MinT - Best Known (92−8, 92, s)-Nets in Base 2

Best Known (92−8, 92, s)-Nets in Base 2

Digital (84, 92, 2097150)-net over F₂, using

net defined by OOA [i] based on linear OOA(2⁹², 2097150, F₂, 8, 8) (dual of [(2097150, 8), 16777108, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(2⁹², 8388600, F₂, 8) (dual of [8388600, 8388508, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(2⁹², large, F₂, 8) (dual of [large, large−92, 9]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Digital (84, 92, 2796201)-net over F₂, using

net defined by OOA [i] based on linear OOA(2⁹², 2796201, F₂, 8, 8) (dual of [(2796201, 8), 22369516, 9]-NRT-code), using
- appending kth column [i] based on linear OOA(2⁹², 2796201, F₂, 7, 8) (dual of [(2796201, 7), 19573315, 9]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(2⁹², 2796201, F₂, 3, 8) (dual of [(2796201, 3), 8388511, 9]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(2⁹², large, F₂, 8) (dual of [large, large−92, 9]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

There is no (84, 92, large)-net in base 2, because