Best Known (42−24, 42, s)-Nets in Base 7
(42−24, 42, 26)-Net over F7 — Constructive and digital
Digital (18, 42, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(42−24, 42, 51)-Net over F7 — Digital
Digital (18, 42, 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
(42−24, 42, 792)-Net in Base 7 — Upper bound on s
There is no (18, 42, 793)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 314529 811141 551938 400461 591865 866977 > 742 [i]