Best Known (59−41, 59, s)-Nets in Base 7
(59−41, 59, 26)-Net over F7 — Constructive and digital
Digital (18, 59, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(59−41, 59, 51)-Net over F7 — Digital
Digital (18, 59, 51)-net over F7, using
- net from sequence [i] based on digital (18, 50)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 18 and N(F) ≥ 51, using
(59−41, 59, 378)-Net in Base 7 — Upper bound on s
There is no (18, 59, 379)-net in base 7, because
- 1 times m-reduction [i] would yield (18, 58, 379)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 10 862688 711896 416383 458317 768827 095466 917709 152041 > 758 [i]