Best Known (68, 105, s)-Nets in Base 7
(68, 105, 130)-Net over F7 — Constructive and digital
Digital (68, 105, 130)-net over F7, using
- 1 times m-reduction [i] based on digital (68, 106, 130)-net over F7, using
- trace code for nets [i] based on digital (15, 53, 65)-net over F49, using
- net from sequence [i] based on digital (15, 64)-sequence over F49, using
- trace code for nets [i] based on digital (15, 53, 65)-net over F49, using
(68, 105, 712)-Net over F7 — Digital
Digital (68, 105, 712)-net over F7, using
(68, 105, 96098)-Net in Base 7 — Upper bound on s
There is no (68, 105, 96099)-net in base 7, because
- 1 times m-reduction [i] would yield (68, 104, 96099)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 7767 057298 371016 336049 026081 444223 519217 092484 310431 662752 853352 756627 027340 898217 331933 > 7104 [i]