Best Known (29, 79, s)-Nets in Base 64
(29, 79, 513)-Net over F64 — Constructive and digital
Digital (29, 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
(29, 79, 82366)-Net in Base 64 — Upper bound on s
There is no (29, 79, 82367)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 48790 267851 489654 781619 916530 205774 797220 208243 044139 297694 207795 369172 738658 636623 308834 211877 403547 694140 775003 969678 790084 720193 213725 008546 > 6479 [i]