Best Known (50−12, 50, s)-Nets in Base 7
(50−12, 50, 1400)-Net over F7 — Constructive and digital
Digital (38, 50, 1400)-net over F7, using
- net defined by OOA [i] based on linear OOA(750, 1400, F7, 12, 12) (dual of [(1400, 12), 16750, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(750, 8400, F7, 12) (dual of [8400, 8350, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(750, 8403, F7, 12) (dual of [8403, 8353, 13]-code), using
- OA 6-folding and stacking [i] based on linear OA(750, 8400, F7, 12) (dual of [8400, 8350, 13]-code), using
(50−12, 50, 8403)-Net over F7 — Digital
Digital (38, 50, 8403)-net over F7, using
(50−12, 50, 5502426)-Net in Base 7 — Upper bound on s
There is no (38, 50, 5502427)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 1 798466 698449 890285 860369 922378 342334 343381 > 750 [i]