Best Known (51, 100, s)-Nets in Base 8
(51, 100, 160)-Net over F8 — Constructive and digital
Digital (51, 100, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 50, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
(51, 100, 190)-Net over F8 — Digital
Digital (51, 100, 190)-net over F8, using
(51, 100, 7424)-Net in Base 8 — Upper bound on s
There is no (51, 100, 7425)-net in base 8, because
- 1 times m-reduction [i] would yield (51, 99, 7425)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 255437 519990 749385 069646 452056 165064 618764 479445 792641 271345 297145 971699 213352 267910 055456 > 899 [i]