Best Known (67, 123, s)-Nets in Base 9
(67, 123, 320)-Net over F9 — Constructive and digital
Digital (67, 123, 320)-net over F9, using
- 1 times m-reduction [i] based on digital (67, 124, 320)-net over F9, using
- trace code for nets [i] based on digital (5, 62, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- trace code for nets [i] based on digital (5, 62, 160)-net over F81, using
(67, 123, 350)-Net over F9 — Digital
Digital (67, 123, 350)-net over F9, using
(67, 123, 21949)-Net in Base 9 — Upper bound on s
There is no (67, 123, 21950)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 2354 819661 300179 770860 838016 096459 001482 421330 894751 787817 899603 216253 168334 888745 832067 242529 954497 923312 993301 517505 > 9123 [i]