Best Known (64−46, 64, s)-Nets in Base 7
(64−46, 64, 26)-Net over F7 — Constructive and digital
Digital (18, 64, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(64−46, 64, 51)-Net over F7 — Digital
Digital (18, 64, 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
(64−46, 64, 338)-Net in Base 7 — Upper bound on s
There is no (18, 64, 339)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 1 264068 264212 543391 612503 180901 514860 516757 130616 972247 > 764 [i]