Best Known (36, 88, s)-Nets in Base 64
(36, 88, 513)-Net over F64 — Constructive and digital
Digital (36, 88, 513)-net over F64, using
- t-expansion [i] based on digital (28, 88, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
(36, 88, 217345)-Net in Base 64 — Upper bound on s
There is no (36, 88, 217346)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 878 716997 320088 727997 733032 802324 550910 330913 457010 754572 764063 243016 722893 492868 447182 369395 087101 707549 396782 773162 363122 753313 479988 291957 181311 037907 285632 > 6488 [i]