Best Known (62−34, 62, s)-Nets in Base 64
(62−34, 62, 513)-Net over F64 — Constructive and digital
Digital (28, 62, 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
(62−34, 62, 534)-Net over F64 — Digital
Digital (28, 62, 534)-net over F64, using
(62−34, 62, 440393)-Net in Base 64 — Upper bound on s
There is no (28, 62, 440394)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 9619 735972 268382 469398 840595 990999 348933 485366 550380 400361 127387 625875 923126 472427 455122 220684 591155 370788 180140 > 6462 [i]