Best Known (91−62, 91, s)-Nets in Base 64
(91−62, 91, 513)-Net over F64 — Constructive and digital
Digital (29, 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
(91−62, 91, 39494)-Net in Base 64 — Upper bound on s
There is no (29, 91, 39495)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 230 473207 315682 060466 853831 139570 739839 596141 887366 165205 815938 344954 709648 430288 368538 047268 812883 248328 287481 030325 840455 692141 283844 925888 496949 430289 872611 388608 > 6491 [i]