Best Known (14, 14+75, s)-Nets in Base 64
(14, 14+75, 177)-Net over F64 — Constructive and digital
Digital (14, 89, 177)-net over F64, using
- t-expansion [i] based on digital (7, 89, 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
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
(14, 14+75, 257)-Net over F64 — Digital
Digital (14, 89, 257)-net over F64, using
- t-expansion [i] based on digital (12, 89, 257)-net over F64, using
- net from sequence [i] based on digital (12, 256)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257, using
- net from sequence [i] based on digital (12, 256)-sequence over F64, using
(14, 14+75, 4577)-Net in Base 64 — Upper bound on s
There is no (14, 89, 4578)-net in base 64, because
- 1 times m-reduction [i] would yield (14, 88, 4578)-net in base 64, but
- the generalized Rao bound for nets shows that 64m ≥ 884 964683 181087 880088 453967 485484 185474 009940 609937 830097 755212 094617 929223 752637 701808 374908 373641 051779 229662 468792 785001 067361 528428 221760 581410 375204 434064 > 6488 [i]