Best Known (64, 97, s)-Nets in Base 8
(64, 97, 368)-Net over F8 — Constructive and digital
Digital (64, 97, 368)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (1, 17, 14)-net over F8, using
- net from sequence [i] based on digital (1, 13)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- net from sequence [i] based on digital (1, 13)-sequence over F8, using
- digital (47, 80, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 40, 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
- trace code for nets [i] based on digital (7, 40, 177)-net over F64, using
- digital (1, 17, 14)-net over F8, using
(64, 97, 520)-Net in Base 8 — Constructive
(64, 97, 520)-net in base 8, using
- 81 times duplication [i] based on (63, 96, 520)-net in base 8, using
- base change [i] based on digital (39, 72, 520)-net over F16, using
- trace code for nets [i] based on digital (3, 36, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256, using
- trace code for nets [i] based on digital (3, 36, 260)-net over F256, using
- base change [i] based on digital (39, 72, 520)-net over F16, using
(64, 97, 1014)-Net over F8 — Digital
Digital (64, 97, 1014)-net over F8, using
(64, 97, 254661)-Net in Base 8 — Upper bound on s
There is no (64, 97, 254662)-net in base 8, because
- 1 times m-reduction [i] would yield (64, 96, 254662)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 497 327391 114957 102657 620079 227914 330436 160728 241843 332534 531689 679584 111344 947162 659940 > 896 [i]