Best Known (64−36, 64, s)-Nets in Base 64
(64−36, 64, 513)-Net over F64 — Constructive and digital
Digital (28, 64, 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
(64−36, 64, 316774)-Net in Base 64 — Upper bound on s
There is no (28, 64, 316775)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 39 402326 927347 487000 682894 428945 378847 752135 376660 297269 639340 729407 061651 189155 362219 994983 731480 292421 273510 131846 > 6464 [i]