MinT - Best Known (75, 84, s)-Nets in Base 3

Best Known (75, 84, s)-Nets in Base 3

Digital (75, 84, 1195741)-net over F₃, using

net defined by OOA [i] based on linear OOA(3⁸⁴, 1195741, F₃, 9, 9) (dual of [(1195741, 9), 10761585, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(3⁸⁴, 4782965, F₃, 9) (dual of [4782965, 4782881, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(3⁸⁴, 4782968, F₃, 9) (dual of [4782968, 4782884, 10]-code), using
    - 1 times truncation [i] based on linear OA(3⁸⁵, 4782969, F₃, 10) (dual of [4782969, 4782884, 11]-code), using
      - an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 3¹⁴âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Digital (75, 84, 2391484)-net over F₃, using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3⁸⁴, 2391484, F₃, 2, 9) (dual of [(2391484, 2), 4782884, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3⁸⁴, 4782968, F₃, 9) (dual of [4782968, 4782884, 10]-code), using
  - 1 times truncation [i] based on linear OA(3⁸⁵, 4782969, F₃, 10) (dual of [4782969, 4782884, 11]-code), using
    - an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 3¹⁴âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

There is no (75, 84, large)-net in base 3, because