Best Known (91−68, 91, s)-Nets in Base 64
(91−68, 91, 177)-Net over F64 — Constructive and digital
Digital (23, 91, 177)-net over F64, using
- t-expansion [i] based on digital (7, 91, 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
(91−68, 91, 288)-Net in Base 64 — Constructive
(23, 91, 288)-net in base 64, using
- t-expansion [i] based on (22, 91, 288)-net in base 64, using
- base change [i] based on digital (9, 78, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- base change [i] based on digital (9, 78, 288)-net over F128, using
(91−68, 91, 342)-Net over F64 — Digital
Digital (23, 91, 342)-net over F64, using
- t-expansion [i] based on digital (20, 91, 342)-net over F64, using
- net from sequence [i] based on digital (20, 341)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- net from sequence [i] based on digital (20, 341)-sequence over F64, using
(91−68, 91, 14649)-Net in Base 64 — Upper bound on s
There is no (23, 91, 14650)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 230 703419 368664 281209 089508 190624 459704 017854 532170 592697 731873 874729 669871 903564 909000 021964 223140 580735 083485 417190 714720 638894 345628 761405 025998 725347 446564 597444 > 6491 [i]