Best Known (26, 26+60, s)-Nets in Base 64
(26, 26+60, 177)-Net over F64 — Constructive and digital
Digital (26, 86, 177)-net over F64, using
- t-expansion [i] based on digital (7, 86, 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
(26, 26+60, 288)-Net in Base 64 — Constructive
(26, 86, 288)-net in base 64, using
- t-expansion [i] based on (22, 86, 288)-net in base 64, using
- 5 times m-reduction [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
- 5 times m-reduction [i] based on (22, 91, 288)-net in base 64, using
(26, 26+60, 425)-Net over F64 — Digital
Digital (26, 86, 425)-net over F64, using
- net from sequence [i] based on digital (26, 424)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 26 and N(F) ≥ 425, using
(26, 26+60, 28769)-Net in Base 64 — Upper bound on s
There is no (26, 86, 28770)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 214551 693243 431723 364356 525767 919060 558556 298027 925689 619399 085028 080612 551146 319623 042217 145971 298983 842929 592263 094373 959397 623271 791085 957983 424300 285872 > 6486 [i]