Best Known (95−77, 95, s)-Nets in Base 7
(95−77, 95, 26)-Net over F7 — Constructive and digital
Digital (18, 95, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(95−77, 95, 51)-Net over F7 — Digital
Digital (18, 95, 51)-net over F7, using
- net from sequence [i] based on digital (18, 50)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 18 and N(F) ≥ 51, using
(95−77, 95, 284)-Net in Base 7 — Upper bound on s
There is no (18, 95, 285)-net in base 7, because
- 1 times m-reduction [i] would yield (18, 94, 285)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 30 289869 854969 642394 731769 852968 405355 839221 091430 189340 291971 122752 814628 320329 > 794 [i]