Best Known (88−81, 88, s)-Nets in Base 64
(88−81, 88, 177)-Net over F64 — Constructive and digital
Digital (7, 88, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
(88−81, 88, 2049)-Net in Base 64 — Upper bound on s
There is no (7, 88, 2050)-net in base 64, because
- 17 times m-reduction [i] would yield (7, 71, 2050)-net in base 64, but
- the generalized Rao bound for nets shows that 64m ≥ 174 897932 169508 067743 876617 587590 285846 337967 931902 518582 008107 579166 582962 022693 674485 354050 116658 925641 998863 790174 789817 604032 > 6471 [i]