Best Known (68−29, 68, s)-Nets in Base 7
(68−29, 68, 110)-Net over F7 — Constructive and digital
Digital (39, 68, 110)-net over F7, using
- trace code for nets [i] based on digital (5, 34, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(68−29, 68, 214)-Net over F7 — Digital
Digital (39, 68, 214)-net over F7, using
(68−29, 68, 11152)-Net in Base 7 — Upper bound on s
There is no (39, 68, 11153)-net in base 7, because
- 1 times m-reduction [i] would yield (39, 67, 11153)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 418 798735 261280 740889 208040 347231 694362 115732 522074 891121 > 767 [i]