Best Known (19, 19+39, s)-Nets in Base 7
(19, 19+39, 27)-Net over F7 — Constructive and digital
Digital (19, 58, 27)-net over F7, using
- net from sequence [i] based on digital (19, 26)-sequence over F7, using
(19, 19+39, 54)-Net over F7 — Digital
Digital (19, 58, 54)-net over F7, using
- net from sequence [i] based on digital (19, 53)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 19 and N(F) ≥ 54, using
(19, 19+39, 441)-Net in Base 7 — Upper bound on s
There is no (19, 58, 442)-net in base 7, because
- 1 times m-reduction [i] would yield (19, 57, 442)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1 530945 625955 858590 971337 846530 328169 464995 558889 > 757 [i]