Best Known (63−42, 63, s)-Nets in Base 7
(63−42, 63, 29)-Net over F7 — Constructive and digital
Digital (21, 63, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(63−42, 63, 64)-Net over F7 — Digital
Digital (21, 63, 64)-net over F7, using
- net from sequence [i] based on digital (21, 63)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 21 and N(F) ≥ 64, using
(63−42, 63, 482)-Net in Base 7 — Upper bound on s
There is no (21, 63, 483)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 175781 032655 193397 481623 990241 393676 559070 249464 856347 > 763 [i]