Best Known (53−36, 53, s)-Nets in Base 9
(53−36, 53, 74)-Net over F9 — Constructive and digital
Digital (17, 53, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
(53−36, 53, 598)-Net in Base 9 — Upper bound on s
There is no (17, 53, 599)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 381 312218 884784 769027 016933 238946 356358 049055 442417 > 953 [i]