Best Known (33, 81, s)-Nets in Base 64
(33, 81, 513)-Net over F64 — Constructive and digital
Digital (33, 81, 513)-net over F64, using
- t-expansion [i] based on digital (28, 81, 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, 81, 194022)-Net in Base 64 — Upper bound on s
There is no (33, 81, 194023)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 199 794216 751124 150422 623389 829978 318857 678433 793336 121513 726223 271942 089692 967428 112319 137235 698875 639173 522310 853780 503415 465713 739384 026285 054716 > 6481 [i]