Best Known (33, 91, s)-Nets in Base 64
(33, 91, 513)-Net over F64 — Constructive and digital
Digital (33, 91, 513)-net over F64, using
- t-expansion [i] based on digital (28, 91, 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
(33, 91, 86174)-Net in Base 64 — Upper bound on s
There is no (33, 91, 86175)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 230 413394 780337 022306 903217 430196 920770 336081 214923 993185 148881 980311 130555 127828 735377 643092 169635 998020 603631 924610 004598 014275 400368 001283 523087 836318 374013 708722 > 6491 [i]