Best Known (72, 72+23, s)-Nets in Base 7
(72, 72+23, 763)-Net over F7 — Constructive and digital
Digital (72, 95, 763)-net over F7, using
- net defined by OOA [i] based on linear OOA(795, 763, F7, 23, 23) (dual of [(763, 23), 17454, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(795, 8394, F7, 23) (dual of [8394, 8299, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(795, 8403, F7, 23) (dual of [8403, 8308, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(795, 8394, F7, 23) (dual of [8394, 8299, 24]-code), using
(72, 72+23, 8403)-Net over F7 — Digital
Digital (72, 95, 8403)-net over F7, using
(72, 72+23, large)-Net in Base 7 — Upper bound on s
There is no (72, 95, large)-net in base 7, because
- 21 times m-reduction [i] would yield (72, 74, large)-net in base 7, but