Best Known (37, 79, s)-Nets in Base 64
(37, 79, 513)-Net over F64 — Constructive and digital
Digital (37, 79, 513)-net over F64, using
- t-expansion [i] based on digital (28, 79, 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
(37, 79, 795)-Net over F64 — Digital
Digital (37, 79, 795)-net over F64, using
(37, 79, 858665)-Net in Base 64 — Upper bound on s
There is no (37, 79, 858666)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 48778 336152 084712 975179 058528 521872 317918 327464 636915 806005 714506 903752 801440 271136 752570 238411 781266 021395 996916 455352 987244 353807 496121 478076 > 6479 [i]