Best Known (62−35, 62, s)-Nets in Base 7
(62−35, 62, 32)-Net over F7 — Constructive and digital
Digital (27, 62, 32)-net over F7, using
- net from sequence [i] based on digital (27, 31)-sequence over F7, using
(62−35, 62, 78)-Net over F7 — Digital
Digital (27, 62, 78)-net over F7, using
- net from sequence [i] based on digital (27, 77)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 27 and N(F) ≥ 78, using
(62−35, 62, 1278)-Net in Base 7 — Upper bound on s
There is no (27, 62, 1279)-net in base 7, because
- 1 times m-reduction [i] would yield (27, 61, 1279)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 3600 840348 500286 755829 734175 476724 030491 931644 517787 > 761 [i]