Best Known (80−19, 80, s)-Nets in Base 7
(80−19, 80, 933)-Net over F7 — Constructive and digital
Digital (61, 80, 933)-net over F7, using
- net defined by OOA [i] based on linear OOA(780, 933, F7, 19, 19) (dual of [(933, 19), 17647, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(780, 8398, F7, 19) (dual of [8398, 8318, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(780, 8403, F7, 19) (dual of [8403, 8323, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(780, 8398, F7, 19) (dual of [8398, 8318, 20]-code), using
(80−19, 80, 8403)-Net over F7 — Digital
Digital (61, 80, 8403)-net over F7, using
(80−19, 80, large)-Net in Base 7 — Upper bound on s
There is no (61, 80, large)-net in base 7, because
- 17 times m-reduction [i] would yield (61, 63, large)-net in base 7, but