Best Known (82−70, 82, s)-Nets in Base 32
(82−70, 82, 120)-Net over F32 — Constructive and digital
Digital (12, 82, 120)-net over F32, using
- t-expansion [i] based on digital (11, 82, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
(82−70, 82, 129)-Net over F32 — Digital
Digital (12, 82, 129)-net over F32, using
- net from sequence [i] based on digital (12, 128)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 12 and N(F) ≥ 129, using
(82−70, 82, 1489)-Net in Base 32 — Upper bound on s
There is no (12, 82, 1490)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2681 031394 189630 246638 194504 153138 499133 359407 000121 072723 227983 831781 262233 943189 012144 453950 620074 698181 192463 427677 487088 > 3282 [i]