Best Known (82−62, 82, s)-Nets in Base 7
(82−62, 82, 28)-Net over F7 — Constructive and digital
Digital (20, 82, 28)-net over F7, using
- net from sequence [i] based on digital (20, 27)-sequence over F7, using
(82−62, 82, 54)-Net over F7 — Digital
Digital (20, 82, 54)-net over F7, using
- t-expansion [i] based on digital (19, 82, 54)-net over F7, using
- net from sequence [i] based on digital (19, 53)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 19 and N(F) ≥ 54, using
- net from sequence [i] based on digital (19, 53)-sequence over F7, using
(82−62, 82, 336)-Net in Base 7 — Upper bound on s
There is no (20, 82, 337)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 2153 822334 749080 761034 326080 548373 342935 062354 630208 856206 045041 431095 > 782 [i]