Best Known (41−26, 41, s)-Nets in Base 7
(41−26, 41, 23)-Net over F7 — Constructive and digital
Digital (15, 41, 23)-net over F7, using
- net from sequence [i] based on digital (15, 22)-sequence over F7, using
(41−26, 41, 48)-Net over F7 — Digital
Digital (15, 41, 48)-net over F7, using
- t-expansion [i] based on digital (13, 41, 48)-net over F7, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 13 and N(F) ≥ 48, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
(41−26, 41, 428)-Net in Base 7 — Upper bound on s
There is no (15, 41, 429)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 44611 563687 544690 126195 315672 242127 > 741 [i]