Best Known (83−65, 83, s)-Nets in Base 7
(83−65, 83, 26)-Net over F7 — Constructive and digital
Digital (18, 83, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(83−65, 83, 51)-Net over F7 — Digital
Digital (18, 83, 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
(83−65, 83, 291)-Net in Base 7 — Upper bound on s
There is no (18, 83, 292)-net in base 7, because
- 1 times m-reduction [i] would yield (18, 82, 292)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 2048 557890 257692 553362 729605 039240 535890 999225 924347 723304 289143 270145 > 782 [i]