Best Known (91−73, 91, s)-Nets in Base 7
(91−73, 91, 26)-Net over F7 — Constructive and digital
Digital (18, 91, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(91−73, 91, 51)-Net over F7 — Digital
Digital (18, 91, 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
(91−73, 91, 285)-Net in Base 7 — Upper bound on s
There is no (18, 91, 286)-net in base 7, because
- 1 times m-reduction [i] would yield (18, 90, 286)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 11987 633012 615966 680868 585725 949620 840391 102215 341702 130068 345781 288915 489513 > 790 [i]